Mathematics, 06.05.2020 01:03 jaleahwalker

Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean. H0: µ Ha: µ What is a point estimate of the difference between mean annual consumption in Webster City and the national mean? 1.23 (2 decimals) At = 0.05, test for a significant difference by completing the following. Calculate the value of the test statistic (2 decimals). .95 The p-value is .1700 (4 decimals) Reject the null hypothesis? What is your conclusion?

Answers: 2

Show answers

Answers

Answer from: dwebster9099

As the P-value (0.027) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean annual consumption in Webster City is higher than the national mean.

Step-by-step explanation:

The question is incomplete:

Annual per capita consumption of milk is 21.6 gallons (Statistical Abstract of the United States: 2006). Being from the Midwest, you believe milk consumption is higher there and wish to support your opinion.

A sample of 16 individuals from the midwestern town of Webster City showed a sample mean annual consumption of 24.1 gallons with a standard deviation of s = 4.8.

a. Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webster City is higher than the national mean.

b. At α= .05, test for a significant difference. What is your conclusion?

a) This is a hypothesis test for the population mean.

The claim is that the mean annual consumption in Webster City is higher than the national mean.

Then, the null and alternative hypothesis are:

$H_0: \mu=21.6\\\\H_a:\mu 21.6$

The significance level is 0.05.

The sample has a size n=16.

The sample mean is M=24.1.

As the standard deviation of the population is not known, we estimate it with the sample standard deviation, that has a value of s=4.8.

The estimated standard error of the mean is computed using the formula:

$s_M=\dfrac{s}{\sqrt{n}}=\dfrac{4.8}{\sqrt{16}}=1.2$

Then, we can calculate the t-statistic as:

$t=\dfrac{M-\mu}{s/\sqrt{n}}=\dfrac{24.1-21.6}{1.2}=\dfrac{2.5}{1.2}=2.083$

The degrees of freedom for this sample size are:

df=n-1=16-1=15

This test is a right-tailed test, with 15 degrees of freedom and t=2.083, so the P-value for this test is calculated as (using a t-table):

P-value=P(t2.083)=0.027

c) As the P-value (0.027) is smaller than the significance level (0.05), the effect is significant.

The null hypothesis is rejected.

There is enough evidence to support the claim that the mean annual consumption in Webster City is higher than the national mean.

Answer from: Quest

There is not enough information on this sorry can you take a picture of it and put it on here

Answer from: Quest

the required function is $y=-x+4$ .

step-by-step explanation:

from the given table it is noticed that the graph passing through (-3,7), (0,4), (3,1) and (8,-4).

it is a linear function because the value of y is decrease by one as the value of x increase by 1.

the slope of the function is

$m=\frac{y_2-y_1}{x_2-x_1}=\frac{4-7}{)}=\frac{-3}{3}=-1$

the slope of the function is -1 and the y-intercept is 4.

the slope intercept form is

$y=mx+b$

where, m is slope and b is y-intercept.

$y=-1x+4$

$y=-x+4$

therefore the required function is $y=-x+4$ . the graph of this function is shown below.

Another question on Mathematics

Mathematics, 21.06.2019 18:00

What is the solution of log2 (3x - 7) = 3? 4 5

Answers: 1

Answer

Mathematics, 21.06.2019 22:00

Uestion 1(multiple choice worth 5 points) (05.02)alex wants to paint one side of his skateboard ramp with glow-in-the-dark paint, but he needs to know how much area he is painting. calculate the area of the isosceles trapezoid. isosceles trapezoid with top base 12 feet, bottom base of 18 feet, and height of 6 feet. 72 ft2 84 ft2 90 ft2 108 ft2

Answers: 1

Answer

Mathematics, 21.06.2019 23:30

Solve the inequaliy: (x^2+2)(x−2)^2(6−2x)> 0

Answers: 1

Answer

Mathematics, 22.06.2019 01:30

Which term describes the point where the perpendicular bisectors of the three sides of a triangle intersect?

Answers: 3

Answer

You know the right answer?

Develop a hypothesis test that can be used to determine whether the mean annual consumption in Webst...