We want to conduct a hypothesis test of the claim that for middle-aged adults the population mean of their cholesterol levels is less than 191.2 mg We choose dL a random sample of such levels. The sample has a mean of 194.2 and a standard deviation of 20 dL 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 90, and it is from a non-normally distributed population with a known standard deviation of 19.3. Z Ot= OIt is unclear which test statistic to use. X S ? (b) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. 07= It is unclear which test statistic to use,

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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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 less than 191.2
mg
dL
. We choose
mg
a random sample of such levels. The sample has a mean of 194.2 and a standard deviation of 20
dL
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 90, and it is from a non-normally distributed population with a known standard deviation of 19.3.
O² =
t=
It is unclear which test statistic to use.
X
5 ?
(b) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation.
OZ
Z=
It is unclear which test statistic to use.
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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 less than 191.2 mg dL . We choose mg a random sample of such levels. The sample has a mean of 194.2 and a standard deviation of 20 dL 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 90, and it is from a non-normally distributed population with a known standard deviation of 19.3. O² = t= It is unclear which test statistic to use. X 5 ? (b) The sample has size 14, and it is from a normally distributed population with an unknown standard deviation. OZ Z= It is unclear which test statistic to use. Ⓒ2022 McGraw Hill LLC. All Rights R acer → 9 Continue esc T 1 ! @ 2 # 3 C $ LA T 4 % 5 5 <0 & 7 O * 8
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