Answer:
1.52%
Step-by-step explanation:
Consider the following hypothesis test. H0: μ ≥ 55 Ha: μ < 55 A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01.
(a) x = 54 and s = 5.3 Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
State your conclusion.
(b) x = 53 and s = 4.6
Find the value of the test statistic. (Round your answer to three decimal places.)
Find the p-value. (Round your answer to four decimal places.)
p-value =
(c) x = 56 and s = 5.0
Find the value of the test statistic.
Find the p-value. (Round your answer to four decimal places.)
p-value =
State your conclusion.
Answer:
Step-by-step explanation:
Given that:
[tex]H_o: \mu \ge 55 \ \\ \\ H_1 : \mu < 55[/tex]
(a) For x = 54 and s = 5.3
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{54-55}{\dfrac{5.3}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-1}{\dfrac{5.3}{6} }[/tex]
Z = -1.132
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-1.132,35,1) = 0.1326
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
b
For x = 53 and s = 4.6
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{53-55}{\dfrac{4.6}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{-2}{\dfrac{4.6}{6} }[/tex]
Z = -2.6087
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(-2.6087,35,1) =0.0066
Decision: p-value is < significance level; we reject the null hypothesis.
[tex]Conclusion: \ There \ is \ sufficient \ evidence \ to \ conclude \ that[/tex] [tex]\mu < 55[/tex]
c)
For x = 56 and s = 5.0
The test statistics can be computed as:
[tex]Z = \dfrac{\overline x - \mu}{\dfrac{s}{\sqrt{n}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
[tex]Z = \dfrac{56-55}{\dfrac{5.0}{\sqrt{36}} }[/tex]
Z = 1.2
degree of freedom = n - 1
= 36 - 1
= 35
Using the Excel Formula:
P-Value = T.DIST(1.2,35,1) = 0.88009
Decision: p-value is greater than significance level; do not reject [tex]\mathbf{H_o}[/tex]
[tex]Conclusion: \ There \ is \ insufficient \ evidence \ to \ conclude \ that \[/tex] [tex]\mu < 55[/tex]
The sum of eight and twice a number is 42
Answer:
8 + 2n = 42
Step-by-step explanation:
the sum of eight: ___+ 8
and twice(2) a number(could be any variable but for now i choose n): 2n + 8
is 42 (literally mean it equals 42): 2n + 8 = 42
can you answer this
Answer:
B. 7ab²c
Step-by-step explanation:
The GCF of 21a²b^4c and 49ab²c³ is
7ab²c
Answer:
The correct answer is b.
What is - 0.9 as a decimal
Answer: -0.9 as a decimal is -0.9
but if you meant as a fraction, then it's -9/10
Step-by-step explanation:
Answer:
0.9
Step-by-step explanation:
There Are Several Ways To Write 0.9.
1) 0.9
2)0.90
3)9/10
4)90/100
Hope this was able to help you!
-TheAnimeCatUwU
#LearnWithBrainly
When a card is selected from a deck, find the probability of getting a. A club b. A face card or a heart c. A 6 and a spade d. A king e. A red card
Answer:
Kindly check explanation
Step-by-step explanation:
Number of clubs = 13
Number of face cards = 12
Number of hearts = 13
Number of King's = 4
Number of reds = 26
Number of spade = 13
Number of 6's = 4
Total possible outcomes = total number of cards = 52
Probability = required outcome / Total possible outcomes
1.) P(A club) = 13 / 52
2.) P(face card or heart) =
p(face card) + p(heart)
12 / 52 + 13/52
= (12 + 13) / 52 = 25 /52
3.)
(A 6 and a spade)
4/52 * 13/52
= 52 / 2704
= 1/52
4.) A king
P(king) = 4 /52 = 1/13
5) A red
P(red) = 26 / 52 = 1/2
how many miles per hour does it take to go 160 miles in 4.5 hours
help pls i'll give brainliest, are they inverses or not explain why or why not
According to Inc, 79% of job seekers used social media in their job search in 2018. Many believe this number is inflated by the proportion of 22- to 30-year-old job seekers who use social media in their job search. Suppose a survey of 22- to 30-year-old job seekers showed that 308 of the 370 respondents use social media in their job search. In addition, 281 of the 370 respondents indicated they have electronically submitted a resume to an employer.
A) Conduct a hypothesis test to determine if the results of the survey justify concluding the proportion of 22- to 30-year-old job seekers who use social media in their job search exceeds the proportion of the population that use social media in their job search. Use α = 0.05.
1) State the null and alternative hypothesis.
2) Find the value of the test statistic.
3) Find the p-value.
B) Conduct a hypothesis test to determine if the results of the survey justify concluding that more than 70% of 22- to 30-year-old job seekers have electronically submitted a resume to an employer. Using α = 0.05, what is your conclusion?
1) State the null and alternative hypothesis.
2) Find the value of the test statistic.
3) Find the p-value.
Answer:
A) i) Null hypothesis; p ≤ 0.79
Alternative hypothesis; p > 0.79
ii) test statistic = 2
iii) P-value = 0.02275
B) i) Null hypothesis; p ≤ 0.70
Alternative hypothesis; p > 0.70
ii) test statistic = 2.5
iii) P-value = 0.00621
Step-by-step explanation:
A) We are given;
Population proportion; p = 79% = 0.79
308 of the 370 respondents use social media in their job search. Thus;
Sample proportion; p^ = 308/370 = 0.8324
Let's state the hypotheses;
Null hypothesis; p ≤ 0.79
Alternative hypothesis; p > 0.79
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.8324 - 0.79)/√(0.79(1 - 0.79)/370)
z = 0.0424/0.021175
z = 2
From online p-value from z-score calculator attached and using; z = 2; significance value = 0.05; and one tailed distribution, we have;
P-value = 0.02275
B) similar to answer A above, Population proportion; p = 70% = 0.70
But 281 of the 370 respondents use social media in their job search. Thus;
Null hypothesis; p ≤ 0.70
Alternative hypothesis; p > 0.70
Also; Sample proportion; p^ = 281/370 = 0.7595
Formula for the test statistic is;
z = (p^ - p)/√(p(1 - p)/n)
z = (0.7595 - 0.70)/√(0.70(1 - 0.70)/370)
z = 0.0595/0.023824
z = 2.5
From online p-value from z-score calculator attached and using; z = 2.5; significance value = 0.05; and one tailed distribution, we have;
P-value = 0.00621
A family of 4 bought 6 bags of peanut
Answer:
24
Step-by-step explanation:
Um. I guess you just multiply 6 x 4 and you get 24
A college student is taking two courses. The probability she passes the first course is 0.67. The probability she passes the second course is 0.7. The probability she passes at least one of the courses is 0.79. Give your answer to four decimal places. a. What is the probability she passes both courses
Answer:
0.58 = 58% probability she passes both courses
Step-by-step explanation:
We can solve this question treating the probabilities as a Venn set.
I am going to say that:
Event A: She passes the first course.
Event B: She passes the second course.
The probability she passes the first course is 0.67.
This means that [tex]P(A) = 0.67[/tex]
The probability she passes the second course is 0.7.
This means that [tex]P(B) = 0.7[/tex]
The probability she passes at least one of the courses is 0.79.
This means that [tex]P(A \cup B) = 0.79[/tex]
a. What is the probability she passes both courses
This is [tex]P(A \cap B)[/tex].
We use the following relation:
[tex]P(A \cup B) = P(A) + P(B) - P(A \cap B)[/tex]
So
[tex]P(A \cap B) = P(A) + P(B) - P(A \cup B) = 0.67 + 0.7 - 0.79 = 0.58[/tex]
0.58 = 58% probability she passes both courses
DJ Ali is making a playlist for a friend; she is trying to decide what 99 songs to play and in what order they should be played. If she has her choices narrowed down to 1616 blues, 2323 country, and 1515 jazz songs, and she wants to play an equal number of blues, country, and jazz songs, how many different playlists are possible
Answer: 1.637 x 10¹⁴ different playlists
Step-by-step explanation: Since DJ Ali needs to choose 9 songs and wishes that the number of blues, country and jazz songs are the same, she needs to pick 3 songs of each type. The total number of ways she can choose the songs, without considering their order is:
The number of possible ways of ordering those nine song is:
There are 1.637 x 10¹⁴ different possible playlist.
Answer:
If she wanted to play 99 songs and play an equal amount of blues, country, and jazz she would play 33 songs from each category.
33 blues
33 country
33 jazz
= 99 songs
Step-by-step explanation:
Why does paying off the highest interest rate credit card first make the most mathematical sense?
Answer:
Paying off the highest interest rate credit card first makes the most mathematical sense because it will save you more money and allow you to redirect funds to other financial goals faster. Paying off the highest interest rate first is better because this way you get to avoid financial problems and avoid having to pay too much money of interest since the card with the highest interest rate is usually the one that will cause you the most financial pain.
Can someone explain this to me? Pls
Step-by-step explanation:
In Triangle (the symbolΔ)QRS,
Angle R is congruent to Angle Q,
And side QR=11
And side SQ=8
Find.The length of RS.
What is the force of an object with a mass of 30 kg and an acceleration of 10 m/s2?
The answer is 300N
Work out
139% of 722.71kg
Give your answer rounded to 2 DP.
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
find the area of the shaded region under the
standard normal curve. If convenient, use technology to find the area
Answer
The area of the shaded region under the standard normal curve is 0.4834.
Step-by-step explanation:
A random variable X is said to have a normal distribution with mean, µ and variance σ².
Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z N (0, 1).
The distribution of these z-variates is known as the standard normal distribution.
Compute the area under the curve between -2.13 and 0 as follows:
Thus, the area of the shaded region under the standard normal curve is 0.4834.
A chemist examines 17 sedimentary samples for lead concentration. The mean lead concentration for the sample data is 0.268 cc/cubic meter with a standard deviation of 0.069. Determine the 80% confidence interval for the population mean lead concentration. Assume the population is approximately normal. Step 1 of 2 : Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places.
Answer:
The critical value that should be used in constructing the confidence interval is T = 1.337.
The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter.
Step-by-step explanation:
We have the standard deviation for the sample, so we use the t-distribution to solve this question.
The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So
df = 17 - 1 = 16
90% confidence interval
Now, we have to find a value of T, which is found looking at the t table, with 16 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.8}{2} = 0.9[/tex]. So we have T = 1.337, which is the crical value.
The margin of error is:
[tex]M = T\frac{s}{\sqrt{n}} = 1.337\frac{0.069}{\sqrt{17}} = 0.022[/tex]
In which s is the standard deviation of the sample and n is the size of the sample.
The lower end of the interval is the sample mean subtracted by M. So it is 0.268 - 0.022 = 0.246 cc/cubic meter
The upper end of the interval is the sample mean added to M. So it is 0.268 + 0.022 = 0.29 cc/cubic meter
The 80% confidence interval for the population mean lead concentration is between 0.246 and 0.29 cc/cubic meter
A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?
12 fishes are in the tank
A fish tank has 12 angelfish .out of every 8 fish 3 are angelfish. how many fish are in the tank?
Answer:
Step-by-step explanation:
12angelfish(8fish/3angelfish)=32 fish
I need help with this can someone help
My work:
3x4=12
12+12=24
6-4=2
2+2+2=6
24÷6=4
Your answer:
4
Hope this helps!
-Alex
Answer:
18.
Step-by-step explanation:
3 x 4 = 12, 12 times 12 equals 144, 6 - 4 equals 2, and 2 times 2 times 2 is 8, and 144 / 8 = 18.
Mr. Alpert’s house has 40 windows. Kids playing baseball outside the house broke 10% of the windows.
Answer:
Step-by-step explanation:
Number of windows broken = 10% of 40
[tex]= \frac{10}{100}*40\\= 4[/tex]
Answer:
4 windows are broken
Step-by-step explanation:
Gabin takes care of the management of the electricity department of a DIY store. He contacts his wholesaler for an order of electrical products. The wholesaler tells him that the net purchase price will be E7,825, to which must be added a purchase charge of E 325 1. Indicate how to obtain the purchase cost. 2. Calculate the cost of purchasing electrical products.
Answer:
I have no clue.,...
.....
find the value of x. (geometry)
Answer:
18.02 units
Step-by-step explanation:
Determine whether the given procedure results in a binomial distribution. If not, state the reason why?
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
a. Not binomial: the trials are not independent.
b. Not binomial: there are more than two outcomes for each trial.
c. Procedure results in a binomial distribution.
d. Not binomial: there are too many trials.
Answer:
b. Not binomial: there are more than two outcomes for each trial.
Step-by-step explanation:
Binomial probability distribution:
We need
Fixed number of trials.
Independent trials.
Each trial can be reduced to a yes/no proposition.
Rolling a single "loaded die 19 times, keeping track of the numbers that are rolled.
There are six possible outcomes(1,2,3,4,5,6), so cannot be reduced to a yes/no proposition, and the answer is given by option b.
Pls help me answer the question attached
Answer:
A.
Step-by-step explanation:
(2/3)*6.75=4.5
You treat your friend to lunch. The food bill was $30.24. A 7% sales tax will be added and you want to leave a 20% tip.
a. Find the sales tax.
b. Find the tip.
c. Find the total amount you pay for lunch.
Answer:
a. $2.12
b. $6.45
c. $38.81
Step-by-step explanation:
a.
I'll convert 30.24 and 7% into fractions.
756/25 * 7/100
Cross cancel 756 and 100 (GCF is 4)
189/25 * 7/25
Convert above into a single fraction
(189 * 7)/(25 * 25)
Multiply 189 by 7, then 25 by 25.
1323/625
Divide, then round to the nearest cent
$2.1168 ≈ $2.12 in sales tax
b.
Like before, I'll convert $32.26 ($30.24 + $2.12) and 20% into fractions.
1613/50 * 1/5
Multiply 50 by 5.
1613/250
Divide, then round to the nearest cent.
$6.452 ≈ $6.45 in tip money
c.
This is probably the simplest part of the 3. Just add $30.24 + $2.12 + $6.45.
$30.24 + $2.12 + $6.45
$32.36 + $6.45
You pay a total of $38.81 for lunch.
Please help i need to help
Answer:
4.25
Step-by-step explanation:
Step 1: 23-(17-12)²+6.25
Step 2: 23-5²+6.25
Step 3: 23-25+6.25
What is the answer I give brainlest
Answer:
Its the one on the left I'm pretty sure
Step-by-step explanation:
Answer:
Step-by-step explanation:
Gas expands when temperature rises and contracts when cooled. So the full balloon was heated and the partially filled ballon was cooled.
A test has 20 questions. If Peter gets 80% correct, how many questions did Peter miss?
Answer:
4
Step-by-step explanation:
20 x 0.80
16 - 20
Answer:
4 questions
Step-by-step explanation:
4 wrong = 80%
Which is the best estimate for the product of 103.132 × 1,031.2? BE QUICK!!
10,000
1,000,000
1,000
100,000
Answer:
option D: 100,000
Step-by-step explanation:
approximated to 10⁵ to 100,000