You wish to test the following claim (Ha) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. %3D What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P-value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a greater than a This leads to a decision to... O reject the null accept the null O fail to reject the null So, the final conclusion is that... The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.

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 = 0.01.
H.:µ = 75.8
Ha:µ > 75.8
You believe the population is normally distributed, but you do not know the standard deviation. Your
sample has:
size: n = 73
mean: M = 77.2
standard deviation: SD = 8.5.
What is the test statistic for this sample?
(Round the answer accurate to 3 decimal places.)
test statistic: t =
What is the P.value for this sample?
(Round the answer accurate to 3 decimal places.)
P-value =
The P-value is...
O less than (or equal to) a
O greater than a
This leads to a decision to...
O reject the null
O accept the null
O fail to reject the null
So, the final conclusion is that...
O The data do not support the claim of the alternative hypothesis that the population mean is greater
than 75.8.
O The sample data support the claim of the alternative hypothesis that the population mean is greater
than 75.8.
Transcribed Image Text:You wish to test the following claim (H.) at a significance level of a = 0.01. H.:µ = 75.8 Ha:µ > 75.8 You believe the population is normally distributed, but you do not know the standard deviation. Your sample has: size: n = 73 mean: M = 77.2 standard deviation: SD = 8.5. What is the test statistic for this sample? (Round the answer accurate to 3 decimal places.) test statistic: t = What is the P.value for this sample? (Round the answer accurate to 3 decimal places.) P-value = The P-value is... O less than (or equal to) a O greater than a This leads to a decision to... O reject the null O accept the null O fail to reject the null So, the final conclusion is that... O The data do not support the claim of the alternative hypothesis that the population mean is greater than 75.8. O The sample data support the claim of the alternative hypothesis that the population mean is greater than 75.8.
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