A researcher testing a hypothesis that the population mean is 25 takes a sample of size 36 and obtains a sample mean of 23 with an estimated standard error of 4. What is the observed value of the test statistic

Answers

Answer 1

Answer:

The test statistic is 23

Step-by-step explanation:

Best way to understand this is to think of a sample and it's purpose;

You take a sample to get information that can be extrapolated to apply to the whole population;

So, for example, you have a factory making light bulbs, and you want to find out how long they last;

You would take a number of light bulbs from the production line, i.e. a sample, and test these;

It would be impossible to test every light bulb as this would take too long and there would be none left unused to sell, i.e. it would not be feasible or viable to do;

You would then find a mean of these times from the sample, and then extrapolate and assume it to be the duration of any light bulb coming off the production line;

The sample is the handful of light bulbs chosen to test;

The test statistic refers to the quantity or value, calculated from the sample data, this would be the mean light bulb duration in the light bulbs example;

Similar and yet different to a test statistic, a population parameter refers to a quantity or value calculated from population data;

A population refers to all members of a particular group of objects/items, so in the example, it would be all the light bulbs produced;

The population parameter would refer to the mean calculated based on data from the population (i.e. all the light bulbs produced);

Realistically, it is impossible to determine a population since it would be unviable in the practically all cases, as we can see in the example;

This value is almost always theoretical and would be assumed from a test statistic in any real scenario.


Related Questions

how to write into fractional expanded form 65.43

Answers

Answer:

6543/100

Step-by-step explanation:

Multiply both numerator and denominator by 10 for every number after the decimal point

65.43 × 100

1 × 100

=

6543

100

after a party 3/4 cake is leftover. Dennis eats 1/2 of the leftover cake. Which fraction model represents the amount of cake Dennis eats?​

Answers

8/8-5/8 = 3/8 Which Is Equivalent To The Amount Of Cake Left Over And The Amount Of Cake That Dennis Ate

The local movie theater, Scene It Cinema, had a special showing of the latest dinosaur movie. There were 6 youth tickets sold for every 5 adult tickets sold.

If there were 70 adult tickets sold, how many movie tickets were sold altogether?

Answers

Answer:

Let the youth and adult tickets be y and x respectively.

6y + 5x ---> (1)

From statement (1):

(1) × 14

84y + 70x

For every 70 adult tickets sold, 84 youth tickets were sold.

Total number of tickets sold= 70 + 84

                                              = 154

Given the function defined in the table below, find the average rate of change, in
simplest form, of the function over the interval 4 < x < 7.
f(x)
3
5
4.
9
5
15
6
23
7
33
Answer:
Submit Answer
attempt 2 out of 2

Answers

Answer:

  8

Step-by-step explanation:

It appears your table includes points (4, 9) and (7, 33). The average rate of change on the interval is the slope of the line between these two points:

  m = (y2 -y1)/(x2 -x1)

  m = (33 -9)/(7 -4) = 24/3 = 8

The average rate of change is 8.

Which statements are correct interpretations of this graph?

Select each correct answer.


a.4 boxes are filled every 3 min.

b.3 boxes are filled every 4 min.

c.1.3 boxes are filled per minute.

d.0.75 boxes are filled per minute.

Answers

It’s b. 3 boxes are filled every 4 mins

13*10-20 im in a hurry

Answers

Answer: 110

Step-by-step explanation:

13*10 = 130-20 is 110

The answer: 13 × 10 - 20 = 130 - 20 = 110

OK done. Thank to me :>

Find an expression with represents the sum of 5X -8 and 2X +2 in simplest terms

Answers

Solution: 7x-6
Step by step solution:
5x-8+2x+2
Then combine like-terms
5x+2x+2-8
7x-6
Hope that helps :)

PLZ SOLVE THE PROBLEM

Answers

Answer:

[tex]-2\frac{1}{2}[/tex]

Step-by-step explanation:

→ Minus the 2 numbers from each other

[tex]-1\frac{1}{5} -1\frac{3}{10}[/tex]

→ Find the LCM

[tex]-1\frac{2}{10} -1\frac{3}{10}[/tex]

→ Simplify

[tex]-2\frac{5}{10} =-2\frac{1}{2}[/tex]

The directions for Clean-All to mix 1 3/8 cups of cleaner with 2 2/5 cups water. Write a COMMON RATIO as
CLEANER to WATER

Answers

Answer:

Step-by-step explanation:

The Mega Clean mixture with 3 1/2 per gallon has more cleaner in it. The first mixture has .75 oz per quart. The second mixture has .875 oz per qt.

HOPE THAT HELP YOU

select the correct product for the problem below. (−85)(23)(−4) =? -64/15 64/15 16/60 -16-60 64-60

Answers

Answer: 7,820

Sorry I have no help :(

A researcher at the Centers for Disease Control and Prevention is studying the growth of a certain bacteria. He starts his experiment with 500 bacteria that grow at a rate of 16% per hour. He will check on the bacteria every 8 hours. How many bacteria will he find in 8 hours? Round your answer to the nearest whole number.

Answers

The population of the bacteria after 8 hours is 1639 bacteria.

An exponential function is given by:

y = abˣ

where y, x are variables, a is the initial value of y and b is the multiplier.

Let y represent the population of bacteria after x hours.

Given that he starts his experiment with 500 bacteria, hence

a = 500

The bacteria grow at a rate of 16% per hour, hence:

b = 100% + 16% = 1.16

The exponential equation becomes:

y = 500(1.16)ˣ

After 8 hours:

y = 500(1.16)⁸ = 1639

The population of the bacteria after 8 hours is 1639 bacteria.

Find out more at: https://brainly.com/question/12490064

you have to solve for X

Answers

Answer:

x = 5/8

Step-by-step explanation:

(1/2) / 4 = x / 51 / 8 = x / 5x = 5 / 8
(1/2)/4=x/51/8=x/55=8xx=5/8

Done

you buy 2.3 pounds of apples for $1.43 per pound. how much do you spend

Answers

Answer:

$3.36

Step-by-step explanation:

$1.43 = 1 lbs

$1.43 + $1.43 = $2.86

$2.86 + .3 = $3.36

On Monday there are 25 pencils in a basket, If 3 pencils are taken out of the basket each day, how many pencils are left in the basket on Friday?

Answers

13 cuz add 4 days then friday so 4×3 which is 12 and 12-25 so ye its 13

please help will brain list if correct no links please ​

Answers

Answer:

C

Step-by-step explanation:

the angle opposite of it is 30

what is 1/4 of 5/6???

Answers

you search the LCD then you subtracted the top and left the bottom the same

Step-by-step explanation:

im not sure

Among 2165 passenger cars in a particular​ region, 235 had only rear license plates. Among 330 commercial​ trucks, 50 had only rear license plates. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.10 significance level. Identify the P-value. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate Group of answer choices

Answers

Using the z-distribution, it is found that the p-value is of 0.0192.

At the null hypothesis, it is tested if commercial trucks owners do not violate laws requiring front license plates at a higher rate than owners of passenger cars, that is, the subtraction is of at most 0, hence:

[tex]H_0: p_2 - p_1 \leq 0[/tex]

At the alternative hypothesis, it is tested if commercial truck owners violate the laws more, that is, the subtraction is positive, hence:

[tex]H_1: p_2 - p_1 > 0[/tex]

For each sample, the size, the proportion and the standard error are given by:

[tex]n_1 = 2165, p_1 = \frac{235}{2165} = 0.1085, s_1 = \sqrt{\frac{0.1085(0.8915)}{2165}} = 0.0067[/tex]

[tex]n_2 = 330, p_1 = \frac{50}{330} = 0.1515, s_1 = \sqrt{\frac{0.1515(0.8485)}{330}} = 0.0197[/tex]

For the distribution of differences, the mean and the standard error are given by:

[tex]\overline{p} = p_2 - p_1 = 0.1515 - 0.1085 = 0.043[/tex]

[tex]s = \sqrt{s_1^2 + s_2^2} = \sqrt{0.0067^2 + 0.0197^2} = 0.0208[/tex]

The test statistic is given by:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

In which [tex]p = 0[/tex] is the value tested at the null hypothesis.

Hence:

[tex]z = \frac{\overline{p} - p}{s}[/tex]

[tex]z = \frac{0.043 - 0}{0.0208}[/tex]

[tex]z = 2.07[/tex]

The p-value is found using a z-distribution calculator, for a right-tailed test, as we are testing if the proportion is more than a value, with z = 2.07.

Using the calculator, the p-value is of 0.0192.

A similar problem is given at https://brainly.com/question/15545277

Find the difference between the lengths of the longest and shortest sides of a rectangle if its area is 924 square milimetres and its perimeter is 122 milimetres.

Answers

Length =l

Height = h

Area function = l * h = 924

Perimeter function = 2i + 2h = 122

Divide by 2

I + h = 61.

Plug in I or h for the other variable

I * (61 - I) = 924

61i - i^2 = 924

Factor the function

(-I + 28)(I - 33) = 0

l = 33 as l cannot be negative

61 - 33 = 28

h = 28

Difference between h and l is 33-28=5

6x + 3 > 26

How do I solve the math problem above

Answers

Answer:

  x > 23/6

Step-by-step explanation:

Solve this one the same way you would a 2-step linear equation.

  6x +3 > 26 . . . . . given

  6x > 23 . . . . . . . . subtract the unwanted constant from both sides (step 1)

  x > 23/6 . . . . . . . .divide both sides by the coefficient of x (step 2)

__

Additional comment

If the coefficient of the variable in a 2-step linear inequality is negative, then the inequality symbol must be reversed when dividing by that negative number.

Which table of ordered pairs represents a proportional relationship?

Answers

Answer:

C)

Step-by-step explanation:

Because Its equivalent

How would the expression x3 -3 sqrt 3 be rewritten using difference of cubes?
O A. (x- 13 )(x2-3x - 3)
O B. (x+ 3)(x + 13 x + 3)
C. (x - 13 )(x2 + 3x + 3)
O D. (x- vb)(x2 + v3 x+3)

Answers

Answer:

x^3 - (√3)^3

I'm not so sure since it's not even an option

Step-by-step explanation:

x^3 - 3√3 = x^3 - 3^1 × 3^(1/2)from the laws of indices: 3^1 × 3^(1/2) = 3^(1 + 1/2)= 3^(3/2) which is the same as (√3)^3so it could be written as x^3 - (√3)^3

Yoni has a ribbon that measures 5/3 yards. She wants to cut it into 3 equal pieces. What is the length of each piece of ribbon? 5\8 yards 5/6 yards 5/9 yards 5/3 yards

Answers

Answer:

5/9 yards

Step-by-step explanation:

[tex] \frac{5}{3} \div \frac{3}{1} \\ = \frac{5}{3} \times \frac{1}{3} \\ = \frac{5}{9} [/tex]

Which one has more kinetic energy water or boiling water

Answers

Answer: 5

Step-by-step explanation:

because idek sorry

You use a garden hose to fill a wading pool. If the water level rises 16 centimeters every 7 minutes
and you record the data point of (21,y), what is the value of y? Use slope to justify your answer.



The rate of change at which the water level rises is ____ centimeters per minute. So solving the equation ____ for y gives a y-value equal to ____

Answers

Rise=16, run=7. Slope is rise/run, and therefore is 16/7. The run is considered to be the x coordinate. Since the x coordinate on the point is 21, we know it has moved 3 exact points away from the origin (21/7=3). We can use this movement of 3 exact points to determine the y coordinate as well. Since the rise (y) is 16 for every exact point on a graph, we know the graph has risen 48 units (16x3=48). So, the point ends up being (21,48). The rate of change is 16cm per 7 minutes, or 2.28cm/minute. The equation is Y=(16/7)X (no y intercept because the graph starts at the origin). The equation gives you the y value of 48 when x is equal to 21.

put the following unit fractions in order from smallest to largest. 1/16 1/24 1/8 1/10 1/4 1/12 1/3 1/6 1/2


Answers

Answer:

1/24, 1/16, 1/12, 1/10, 1/8, 1/6, 1/4, 1/3, 1/2

Step-by-step explanation:

If you have this many fractions and they all have the same numerator, then the smallest number will have the biggest denominator and the biggest number will have the smallest.

So when you have all numbers with the same numerator and you're trying to put them in order from smallest to greatest, it's like putting the denominators in order from largest to smallest. (So, the 1/24 is the SMALLEST and the 1/2 is the BIGGEST.

Question : Explore criteria of congruency of triangles using a set of triangle cut outs

Answers

Answer:

       Explore Various Criteria for Congruence TrianglesSASASAAASSSSRHS

Find the length of the hypotenuse.Round to the nearest 10th if necessary.(40pts)

Answers

Answer:

5 is our hypotenuse

Step-by-step explanation:

[tex]a^{2} + b^{2} = c^{2}[/tex]

c is our hypotenuse

[tex]3^{2} + 4^{2} = c^2[/tex]

[tex]9 + 16 = 25[/tex]

[tex]25 = c^{2}[/tex]

c = 5

5 is our hypotenuse

Answer:

x = 5

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2} \\a= \sqrt{3^2+4^2} \\c=\sqrt{9+16} \\c= \sqrt{25} \\c= 5[/tex]

What is 196.7 16 in simplest form?

Answers

70/196 is 5/14
GCD OF 70 and 196 is 14
70 divided by 14
196 divided by 14
Reduced fraction: 5/14

The perimeter of a rectangle is 20/33 feet. The length of three sides together is 16/33 feet.
What is the length of the fourth side?

40 feet
4/33feet
16/33feet
20/33feet

Answers

Answer:

40 feet

Step-by-step explanation:

on edge

Karen stacks a set of cans as shown. The top can has a diameter of 2 inches, the middle can has a diameter of 5 inches, and the bottom can has a diameter of 6 inches.

Answers

Answer:

Unknown

Step-by-step explanation:

What is the question? You have the information listed but you forgot to ask the question.

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