You wish to test the following claim (H) at a significance level of a = 0.10. H : μ = 56.7 Ha: μ < 56.7 You believe the population is normally distributed and you know the standard deviation is a = 13.4. You obtain a sample mean of M = 51.3 for a sample of size n = 68. 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

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 = 0.10.
Ho:μ = 56.7
Ha: μ < 56.7
You believe the population is normally distributed and you know the standard deviation is a 13.4. You
obtain a sample mean of M = 51.3 for a sample of size n = 68.
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...
less than (or equal to) a
greater than a
This test statistic leads to a decision to...
O reject the null
accept the null
O fail to reject the null
Transcribed Image Text:You wish to test the following claim (H) at a significance level of a = 0.10. Ho:μ = 56.7 Ha: μ < 56.7 You believe the population is normally distributed and you know the standard deviation is a 13.4. You obtain a sample mean of M = 51.3 for a sample of size n = 68. 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... less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null accept the null O fail to reject the null
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