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.

What is the P Value?

Gallons of Milk

29.3

23.84

25.25

21

17.52

19.61

19.83

26.18

34.97

30.2

28.59

20.57

26.94

27.24

Answer 1

Sample mean calculated using excel function AVERAGE(), x̅ = 25.0743

Sample standard deviation calculated using excel function STDEV.S(), s = 4.9356

Sample size, n =14

Null and Alternative hypothesis:  
Ho : µ =   22.6
H1 : µ >   22.6

Test statistic:  
t = (x̅- µ)/(s/√n) = 1.8758
df =   13

p-value :          
Right tailed p-value = T.DIST.RT(1.8758, 13) = 0.0417      

Decision:

As p-value < 0.05 we reject the null hypothesis.

There is enough evidence to claim that the milk consumption is higher in United States, at 0.05 significance level.