Question

The Stanford-Binet IQ test is nationally normed with a mean of 100 and a standard deviation of 15. A principal in an elementary school believes that her students have above-average intelligence and wants verification of her belief. She randomly selects 20 students and checks the student files. You will use a z-test to determine whether the students in this school have above-average intelligence and will summarize your findings in a report.

IQ scores for 20 students are found in the Excel spreadsheet.

n	20
Hypothesized Mean	100
Actual Data Mean	106.85
z Test Statistic	2.042
Standard deviation	19.88
p value for two-sided	0.0411
p value for a right-sided	0.0206
p value for a left-sided	0.9794

Using the results above and the data in the Excel spreadsheet, write a complete hypothesis test report,using the α = .05 significance level. To determine the proper p-value for this test, refer to the summary of the case.

Note how you are being provided all three p-values (two-sided, right one-sided, left-one sided). Once you determine the Ho and Ha, you will be able to determine which p-value is appropriate for the test.

You must develop the case study by including all 7 steps of hypothesis testing. I expect complete sentences and not only results (assumptions, hypothesis, sample statistic values, the test statistic, the p-value, conclusions in the context of the problem).

You are also required to include a graphical display of the data above in a bell curve shaped graph labeled properly. The case will be graded based on choosing the correct Ho and Ha testing and complete answers.

n	20
Hypothesized Mean	100
Mean	106.85
z Test Statistic	2.042
Standard deviation	19.88
p value for two-sided	0.0411
p value for a right-sided	0.0206
p value for a left-sided	0.9795

Student Name	IQ
Kathy	110
Mike	132
Adam	98
Celia	97
Christina	115
Aaron	145
Elaine	77
Jesse	130
Sam	114
Nikki	128
Amanda	89
Steve	101
Jason	92
Tabitha	85
Mindy	112
Drew	79
Shalija	139
Samir	102
Robert	103
Tiffany	89

Answer 1