An activity phone app would like to test the average number of calories burned f

Question

An activity phone app would like to test the average number of calories burned froma 60 minute tennis match. Currently, the app claoms an average of 560 calories for a person weighing 150 lbs. they assume the number of calories burned comes from a normal distribution with a population standard deviation of 100 calories. If they take a sample of 100 people (all weighting approximately 150 lbs), what type of test should they use to test their claim of 560 calories?

matched paired t test one sample

t test for mean

linear regression analysis

one sample z-test for proportions

one sample z test for mean

Explanation / Answer

T-test is performed only when the sample size is less than 30. But here since the sample size is 100, t-test will not be used.

We will rather be using a z-test here.

Also, the test is to performed to test a claim for the mean value of calories burned. So test for proprotions will also not be used.

Thus the correct answer is :

One sample z-test for mean

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