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You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ = 55.4 Ha:µ < 55.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 19.2 19.2 76 41

You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ = 55.4 Ha:µ < 55.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 19.2 19.2 76 41

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
Section: Chapter Questions
Problem 22SGR
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You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ = 55.4 Ha:u < 55.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 19.2 19.2 76 41 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null
Transcribed Image Text:You wish to test the following claim (Ha) at a significance level of a = 0.10. H.:µ = 55.4 Ha:u < 55.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 19.2 19.2 76 41 What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a O greater than a 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 warrant rejection of the claim that the population mean is less than 55.4. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 55.4. The sample data support the claim that the population mean is less than 55.4. O There is not sufficient sample evidence to support the claim that the population mean is less than 55.4.
Transcribed Image Text:As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is less than 55.4. O There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 55.4. The sample data support the claim that the population mean is less than 55.4. O There is not sufficient sample evidence to support the claim that the population mean is less than 55.4.
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