For a random sample of 25 observations from a normal population,
the mean and variance are obtained as 71.5, and 156.25,
respectively. You wish to test the null hypothesis that the
population mean is less or equal to 65. Which one of the following
statements is true?
None of the suggested answers are correct
There is sufficient evidence to conclude that the population
mean is greater than 65 with no more than a 0.1% probability of
incorrectly rejecting the true null hypothesis.
The null hypothesis would be rejected if a 1% probability of
committing a Type I error is allowed.
There is sufficient evidence to show that the population mean
is greater than 65 using a level of significance of at least
10%
The sample evidence proves beyond a doubt that the population
mean is greater than 65.