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 193.8 mgdL . We choose a random sample of such levels. The sample has a mean of 194.8 mgdL and a standard deviation of 18.5 mgdL .   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 10 , and it is from a normally distributed population with an unknown standard deviation.       z=?       t=?       It is unclear which test statistic to use.?   (b) The sample has size 80 , and it is from a non-normally distributed population with a known standard deviation of 19.3 .       z=?       t=?       It is unclear which test statistic to use.?

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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

193.8 mgdL
. We choose a random sample of such levels. The sample has a mean of 194.8 mgdL
and a standard deviation of 18.5 mgdL
.

 

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
10
, and it is from a normally distributed population with an unknown standard deviation.
 
 
 
z=?
 
 
 
t=?
 
 
 
It is unclear which test statistic to use.?
 
(b) The sample has size
80
, and it is from a non-normally distributed population with a known standard deviation of
19.3
.
 
 
 
z=?
 
 
 
t=?
 
 
 
It is unclear which test statistic to use.?
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