You wish to test the following daim (H.) at a significance level of a = 0.005. H.:µ = 83.8 Ha:µ < 83.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 71.4 and a standard deviation of SD = 17.1. 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 greater than a This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final condusion is that... O There is sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O There is not sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O The sample data support the daim that the population mean is less than 83.8. O There is not sufficient sample evidence to support the daim that the population mean is less than 83.8.

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 daim (H.) at a significance level of a =
0.005.
H.:µ = 83.8
Ha:µ < 83.8
You believe the population is normally distributed, but you do not know the standard deviation. You obtain a
sample of size n = 16 with mean M = 71.4 and a standard deviation of SD = 17.1.
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
greater than a
This test statistic leads to a decision to...
O reject the null
accept the null
fail to reject the null
As such, the final condusion is that...
O There is sufficient evidence to warrant rejection of the daim that the population mean is less than
83.8.
O There is not sufficient evidence to warrant rejection of the daim that the population mean is less
than 83.8.
O The sample data support the daim that the population mean is less than 83.8.
O There is not sufficient sample evidence to support the daim that the population mean is less than
83.8.
Transcribed Image Text:You wish to test the following daim (H.) at a significance level of a = 0.005. H.:µ = 83.8 Ha:µ < 83.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n = 16 with mean M = 71.4 and a standard deviation of SD = 17.1. 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 greater than a This test statistic leads to a decision to... O reject the null accept the null fail to reject the null As such, the final condusion is that... O There is sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O There is not sufficient evidence to warrant rejection of the daim that the population mean is less than 83.8. O The sample data support the daim that the population mean is less than 83.8. O There is not sufficient sample evidence to support the daim that the population mean is less than 83.8.
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