Question

According to a recent study annual per capita consumption of milk in the United States is 22.6 gallons. Being from the Midwest, you believe milk consumption is higher there and wish to test your hypothesis. A sample of 14 individuals from the Midwestern town of Webster City was selected and then each person's milk consumption was entered into the Microsoft Excel Online file below. Use the data to set up your spreadsheet and test your hypothesis.

1) What is a point estimate of the difference between mean annual consumption in Webster City and the national mean?  (2 decimals)

2) At ?? = 0.05, test for a significant difference by completing the following.

Calculate the value of the test statistic (2 decimals).

The p-value is  (4 decimals)

(In excel)

A B C

1)Gallons of milk

2)28.8

3) 23.84

4) 25

5) 21

6) 17.52

7) 19.61

8) 19.83

9) 26.18

10) 34.97

11) 29.9

12) 28.59

13) 20.57

14) 26.94

15) 27.24

Answer 1

1)

point estimante of the difference between mean annual consumption in webster city and the national mean = 24.999-22.6=2.399

..................

2)

X?= 24.9992

n= 14

s= 4.880

df= 13

H0: u= 22.6

H1: u> 22.6 ...............right tail test

alpha= 0.05

Test Statictics

T=(X?-u)*sqrt(n)/s

=(24.999-22.6)*sqrt(14)/4.880

=1.83953

rounded test statistics =1.84

P-value=0.044389429

rounded p-value=0.0444

Decision making

P-value ? Alpha Reject H0

0.0444 <0.05

there is enough evidence to support the claim that Webster city has highter mean then nation mean.

.......................

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