We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is more than 201.3 mg dL choose a random sample of such levels. The sample has a mean of 197.3 mg dL mg and a standard deviation of 18 dL For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statist Round your answers to two decimal places. (a) The sample has size 110, and it is from a non-normally distributed population with a known standard deviation of 19.2. 0²= ot= O It is unclear which test statistic to use. 4 (b) The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. 0²= O ot= X We S

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We want to conduct a hypothesis test of the claim that for middle-aged adults, the population mean of their cholesterol levels is more than 201.3 mg/dL. We choose a random sample of such levels. The sample has a mean of 197.3 mg/dL and a standard deviation of 18 mg/dL.

For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places.

(a) The sample has size 110, and it is from a non-normally distributed population with a known standard deviation of 19.2.
- \( z = \) [input field]
- \( t = \) [input field]
- It is unclear which test statistic to use. [radio button]

(b) The sample has size 19, and it is from a normally distributed population with an unknown standard deviation.
- \( z = \) [input field]
- \( t = \) [input field]
- It is unclear which test statistic to use. [radio button]

There are no graphs or diagrams included in the image.
Transcribed Image Text:We want to conduct a hypothesis test of the claim that for middle-aged adults, the population mean of their cholesterol levels is more than 201.3 mg/dL. We choose a random sample of such levels. The sample has a mean of 197.3 mg/dL and a standard deviation of 18 mg/dL. For each of the following sampling scenarios, choose an appropriate test statistic for our hypothesis test on the population mean. Then calculate that statistic. Round your answers to two decimal places. (a) The sample has size 110, and it is from a non-normally distributed population with a known standard deviation of 19.2. - \( z = \) [input field] - \( t = \) [input field] - It is unclear which test statistic to use. [radio button] (b) The sample has size 19, and it is from a normally distributed population with an unknown standard deviation. - \( z = \) [input field] - \( t = \) [input field] - It is unclear which test statistic to use. [radio button] There are no graphs or diagrams included in the image.
Expert Solution
Step 1

It is given that

Sample size n = 110, 19

Sample mean M = 197.3

Sample SD s = 18

Population SD = 19.2

Population mean = 201.3

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