A cookie company advertises that each of its cookies contain 180 calories. A dietician randomly selects 25 cookies from different batches and has their caloric content measured. The average number of calories is 182. The sample standard deviation of the number of calories is 4.0. Of interest is whether the cookies contain more calories than advertised, on average. He chooses a significance level of 5%. You may assume that calories are independent and normally distributed with common standard deviation.

The null hypothesis is

[ Select ]

["

the mean number of calories per cookie is less than 180

", "

the mean number of calories per cookie differs from 180

", "

the number of calories per cookie is less than 180

", "

the mean number of calories per cookie is greater than 180

", "

the number of calories per cookie is greater than 180

", "

the number of calories per cookie is 180

", "

the mean number of calories per cookie is 180

", "

the number of calories per cookie differs from 180

"] . The alternative hypothesis is

[ Select ]

["

the number of calories per cookie is 180

", "

the mean number of calories per cookie is greater than 180

", "

the number of calories per cookie is less than 180

", "

the mean number of calories per cookie is less than 180

", "

the mean number of calories per cookie is 180

", "

the number of calories per cookie is greater than 180

", "

the mean number of calories per cookie differs from 180

", "

the number of calories per cookie differs from 180

"] .

The value of the test statistic is

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["

12.5

", "

227.5

", "

1.22

", "

2.50

", "

none of the listed answers is correct

", "

1138

", "

0.50

"] . If the null hypothesis is true, then the test statistic is a random draw from a

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["

F(1,23)

", "

t(24)

", "

t(23)

", "

N(0,1)

", "

F(1,24)

", "

F(1,25)

", "

t(25)

"] distribution.