Suppose that we want to estimate the mean cholesterol level in adults aged 55 or

Question

Suppose that we want to estimate the mean cholesterol level in adults aged 55 or more. We choose a random sample of such levels. The random sample we choose has a mean of 198 mg/dL and a standard deviation of 19 mg/dL. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean. In the table, Z refers to a variable having a standard normal distribution, and t refers to a variable having a t distribution.) could use Sampling Scenario Z t either Z or unclear (1) The sample has size 10, and it is from a normally distributed population with a known standard deviation of 19.3 (2) The sample has size 105, and it is from a non normally distributed population with a known standard deviation of 19.3 (3) The sample has size 90, and it is from a non- normally distributed population. (4) The sample has size 16, and it is from a population with a distribution about which we know | very little 0 | 0 (5) The sample has size 15, and it is from a normally distributed population with unknown standard deviation.

Explanation / Answer

Answer:-

1)here sample size is 10 which is less than 30 Hence,we use 't'

2) sample size is 105

Hence use 'z'

3)sampl size is 90

Hence use 'z'

4)sampl size is 16,

Hence use 't'

5)ssample size is 15

Hence use 't'

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