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You were told that the average number of calories in a low-calorie meal is 450.   Your friend...

  1. You were told that the average number of calories in a low-calorie meal is 450.   Your friend started making low calorie meals at her restaurant.  You took a sample of 27 such meals and the mean for these meals is 440 and the standard deviation is 22 calories.   You want to test the hypothesis that the average for this sample is different from the national average. Use α=.05.

a. what is the alternative hypothesis?

b. what is the value of the test statistic?

c. should the t-test be used?

d. what is the rejection region?

e. Should the hypothesis be rejected?

f. your friend told you that she is sure that her meals have fewer calories. Do the test again to test if she is correct. Use α=.05.

Math   Statistics-And-Probability   
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