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You wish to test the following claim (H) at a significance level of a = 0.05. Ho:μ = 89.6 89.6, Ha: You believe the population is normally distributed and you know the standard deviation is 19.5. You obtain a sample mean of 96.5 for a sample of size 50. a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = c) The p-value is... O less than (or equal to) a Ogreater than a d) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O The sample data support the claim that the population mean is not equal to 89.6.

You wish to test the following claim (H) at a significance level of a = 0.05. Ho:μ = 89.6 89.6, Ha: You believe the population is normally distributed and you know the standard deviation is 19.5. You obtain a sample mean of 96.5 for a sample of size 50. a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = c) The p-value is... O less than (or equal to) a Ogreater than a d) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O The sample data support the claim that the population mean is not equal to 89.6.

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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You wish to test the following claim (H) at a significance level of a = 0.05. Ho:μ = 89.6 H: 89.6, You believe the population is normally distributed and you know the standard deviation is 19.5. You obtain a sample mean of 96.5 for a sample of size 50. a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = c) The p-value is... O less than (or equal to) a O greater than a d) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89,6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O The sample data support the claim that the population mean is not equal to 89.6.
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.05. Ho:μ = 89.6 H: 89.6, You believe the population is normally distributed and you know the standard deviation is 19.5. You obtain a sample mean of 96.5 for a sample of size 50. a) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = b) What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = c) The p-value is... O less than (or equal to) a O greater than a d) This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null e) As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89,6. There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O The sample data support the claim that the population mean is not equal to 89.6.
e) As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O The sample data support the claim that the population mean is not equal to 89.6. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.6.
Transcribed Image Text:e) As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 89.6. O The sample data support the claim that the population mean is not equal to 89.6. O There is not sufficient sample evidence to support the claim that the population mean is not equal to 89.6.
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