You wish to test the following claim ( H a ) at a significancelevel of ? = 0.001 .
H o : ? = 77.2
H a : ? < 77.2
You believe the population is normally distributed, but you donot know the standard deviation. You obtain a sample of size n = 16with mean M = 65.4 and a standard deviation of S D = 15.2 .
What is the p-value for this sample? (Report answer accurate tofour decimal places.)
p-value =
The p-value is...
less than (or equal to) ? or greater than ?
This p-value leads to a decision to...
reject the null or accept the null or fail to reject thenull
As such, the final conclusion is that...
a . There is sufficient evidence to warrant rejection of theclaim that the population mean is less than 77.2.
b . There is not sufficient evidence to warrant rejection of theclaim that the population mean is less than 77.2.
c . The sample data support the claim that the population meanis less than 77.2.
d . There is not sufficient sample evidence to support the claimthat the population mean is less than 77.2.
