A First Course in Probability (10th Edition)
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ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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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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