Suppose That 9 Grades Are Drawn from a Normal Population

question 108

Essay

Suppose that 9 grades are drawn from a normal population whose standard deviation is 15.The observations are:
90
54
78
66
48
72
66
42
60
At 99% confidence,you want to determine whether the mean of the population from which this sample was taken is greater than 50.
a.State the null and alternative hypotheses.
b.Compute the value of the test statistic.
c.Compute the p-value.
d.Interpret the results.

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Definitions:

Collecting Data

The process of gathering information in a systematic way to help in analysis, decision making, and reporting.

Response Consistency

A measure of how similarly a person responds to similar or repeated stimuli or questions over time.

Behavioural Order

A concept referring to the structured or organized patterns of behavior observed in individuals or groups.

Negative Relationship

A type of correlation where one variable increases as the other decreases, indicating an inverse relationship between the two.