You want to estimate today's mean temperature, so you make a series of measurements (taken as a sample) throughout the day. The mean of these measurements is 64.5 degrees Fahrenheit, and their standard deviation is 3.9 degrees Fahrenheit. 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 11, and it is from a population with a distribution about which we know very little. (2) The sample has size 15, and it is from a normally distributed population with a known standard deviation of 3. (3) The sample has size 18, and it is from a normally distributed population with unknown standard deviation. (4) The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 3. (5) The sample has size 90, and it is from a non-normally distributed population.
You want to estimate today's mean temperature, so you make a series of measurements (taken as a sample) throughout the day. The mean of these measurements is 64.5 degrees Fahrenheit, and their standard deviation is 3.9 degrees Fahrenheit. 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 11, and it is from a population with a distribution about which we know very little. (2) The sample has size 15, and it is from a normally distributed population with a known standard deviation of 3. (3) The sample has size 18, and it is from a normally distributed population with unknown standard deviation. (4) The sample has size 85, and it is from a non-normally distributed population with a known standard deviation of 3. (5) The sample has size 90, and it is from a non-normally distributed population.
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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Question
You want to estimate today's mean temperature, so you make a series of measurements (taken as a sample) throughout the day. The mean of these measurements is
degrees Fahrenheit, and their standard deviation is
degrees Fahrenheit. 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.)
64.5
3.9
(In the table,
Z
t
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