Suppose that 10 grades are drawn from a normal population whose standard deviation is 15.The observations are:
90 54 78 66 48 72 66 42 60 50
At 99% confidence,you want to determine whether the mean of the population from which this sample was taken is greater than 60.
a.State the null and alternative hypotheses.
b.Compute the value of the test statistic.
c.Compute the p-value.
d.Interpret the results.

Test Statistic

A standardized value that is calculated from sample data during a hypothesis test. It is used to determine whether to reject the null hypothesis.

Null Hypotheses

A statement that assumes there is no significant difference or effect in a population, and any observed difference is due to sampling or experimental error.

p-value

A measure used in statistical hypothesis testing to determine the significance of the observed data under a specific hypothesis, often testing if an effect exists.