Suppose that we want to estimate the mean score on a nationwide examination in anthropology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 492 and a standard deviation of 79 . 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.) Sampling Scenario Z t could use either Z or t unclear (1) The sample has size 75, and it is from a non-normally distributed population. (2) The sample has size 17, and it is from a normally distributed population with unknown standard deviation. (3) The sample has size 80, and it is from a non-normally distributed population with a known standard deviation of 75. (4) The sample has size 19, and it is from a population with a distribution about which we know very little. (5) The sample has size 18, and it is from a normally distributed population with a known standard deviation of 75.
Suppose that we want to estimate the mean score on a nationwide examination in anthropology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of 492 and a standard deviation of 79 . 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.) Sampling Scenario Z t could use either Z or t unclear (1) The sample has size 75, and it is from a non-normally distributed population. (2) The sample has size 17, and it is from a normally distributed population with unknown standard deviation. (3) The sample has size 80, and it is from a non-normally distributed population with a known standard deviation of 75. (4) The sample has size 19, and it is from a population with a distribution about which we know very little. (5) The sample has size 18, and it is from a normally distributed population with a known standard deviation of 75.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Suppose that we want to estimate the mean score on a nationwide examination in anthropology, and for this purpose we choose a random sample of exam scores. The sample we choose has a mean of
and a standard deviation of
. For each of the following sampling scenarios, determine which test statistic is appropriate to use when making inference statements about the population mean.
refers to a variable having a standard normal distribution, and
refers to a variable having a t distribution.)
492
79
(In the table,
Z
t
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