You wish to test the Ho: µ = 52.4 H1:µ < 52.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 82 with a mean of 49.4 and a standard deviation of 15.2. What is the critical value for this test? (Report answer accurate to 3 decimal places.) What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) This test statistic leads to a decision to O reject the null O accept the null O fail to reject the null As such, the final conclusion is that O there is sufficient evidence to conclude that the population mean is equal to 52.4. there is not sufficient evidence to conclude that the population mean is equal to 52.4. O there is sufficient evidence to conclude that the population mean is less than 52.4. O there is not sufficient evidence to conclude that the population mean is less than 52.4.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 22SGR
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You wish to test the following claim at a significance level of 0.02.
Ho: µ = 52.4
H1: µ < 52.4
You believe the population is normally distributed, but you do not know the standard deviation. You obtain
a sample of size 82 with a mean of 49.4 and a standard deviation of 15.2.
What is the critical value for this test? (Report answer accurate to 3 decimal places.)
What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)
This test statistic leads to a decision to
O reject the null
accept the null
O fail to reject the null
As such, the final conclusion is that
O there is sufficient evidence to conclude that the population mean is equal to 52.4.
O there is not sufficient evidence to conclude that the population mean is equal to 52.4.
there is sufficient evidence to conclude that the population mean is less than 52.4.
O there is not sufficient evidence to conclude that the population mean is less than 52.4.
Transcribed Image Text:You wish to test the following claim at a significance level of 0.02. Ho: µ = 52.4 H1: µ < 52.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 82 with a mean of 49.4 and a standard deviation of 15.2. What is the critical value for this test? (Report answer accurate to 3 decimal places.) What is the test statistic for this sample? (Report answer accurate to 3 decimal places.) This test statistic leads to a decision to O reject the null accept the null O fail to reject the null As such, the final conclusion is that O there is sufficient evidence to conclude that the population mean is equal to 52.4. O there is not sufficient evidence to conclude that the population mean is equal to 52.4. there is sufficient evidence to conclude that the population mean is less than 52.4. O there is not sufficient evidence to conclude that the population mean is less than 52.4.
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