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You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 56.6 Ha:µ < 56.6 %3D You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 56.4 39.7 35.2 45.6 63 53.6 48.6 47.7 42.6 41.7 40.1 41.4 49.2 48.6 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = -2.650 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 56.6 Ha:µ < 56.6 %3D You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 56.4 39.7 35.2 45.6 63 53.6 48.6 47.7 42.6 41.7 40.1 41.4 49.2 48.6 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value = -2.650 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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I only need helped with the marked section, Im not sure if the critical region is correct yet so please ignore that, thank you!

You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ= 56.6 H.:µ < 56.6 %3D You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 56.4 39.7 35.2 45.6 63 53.6 48.6 47.7 42.6 41.7 40.1 41.4 49.2 48.6 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value =-2.650 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ= 56.6 H.:µ < 56.6 %3D You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 56.4 39.7 35.2 45.6 63 53.6 48.6 47.7 42.6 41.7 40.1 41.4 49.2 48.6 What is the critical value for this test? (Report answer accurate to three decimal places.) critical value =-2.650 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic =
The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... There is enough evidence to show that the population mean is not less than 56.6. OThere is not enough evidence to show that the population mean is not less than 56.6. There is enough evidence to show that the population mean is less than 56.6. There is not enough evidence to show that the population mean is less than 56.6.
Transcribed Image Text:The test statistic is... O in the critical region O not in the critical region This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis O fail to reject the null hypothesis As such, the final conclusion is that... There is enough evidence to show that the population mean is not less than 56.6. OThere is not enough evidence to show that the population mean is not less than 56.6. There is enough evidence to show that the population mean is less than 56.6. There is not enough evidence to show that the population mean is less than 56.6.
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