) The sample has size 15, and it is from a population with a distribution about which we know very little. O z = t = It is unclear which test statistic to use. ) The sample has size 75, and it is from a non-normally distributed population with a known standard deviation of 3.1

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
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We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 30.5 words per
minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 30.7 words per minute and a standard
deviation of 3.7 words per minute.
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 15, and it is from a population with a distribution about which we know very little.
O z = |
t =
It is unclear which test statistic to use.
(b) The sample has size 75, and it is from a non-normally distributed population with a known standard deviation of 3.1.
=D0
t =
It is unclear which test statistic to use.
Transcribed Image Text:We want to conduct a hypothesis test of the claim that the population mean reading speed of second graders is different from 30.5 words per minute. So, we choose a random sample of students' reading speeds. The sample has a mean of 30.7 words per minute and a standard deviation of 3.7 words per minute. 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 15, and it is from a population with a distribution about which we know very little. O z = | t = It is unclear which test statistic to use. (b) The sample has size 75, and it is from a non-normally distributed population with a known standard deviation of 3.1. =D0 t = It is unclear which test statistic to use.
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