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A researcher is investing the effectiveness of new study-skill training program for elementary school children. A sample of n = 25 third-grade children is selected to participate in the program and each child is given a standardized test at the end of the year. For the regular population of third-grade children, scores on the test form a normal distribution with mean of m = 150 and a standard deviation of s = 25. The mean of the sample is M = 158.
a. Identify the independent and dependent variables for this study.
b. Assuming a two-tailed test, state the null hypothesis in a sentence that includes the independent variable and the dependent variable.
c. Using symbols state the hypotheses (H0 and H1) for the two-tailed test.
d. Sketch the appropriate distribution, and locate the critical region for a = 0.05.
e. Calculate the test statistic (z-score) for the sample.
f. What decision should be made about the null hypothesis, and what decision should be made about the effect of the program?
Based on this sample, is Moe correct in his assertion? Write up formal commentary of results of your test.
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We want to know if his support has decreased. In computing a test of hypothesis with , what is the estimate of the overall proportion?
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The hypothesis is to be tested at the 5% level of significance. The critical value from the table equals:
Basic Statistics problem
Records also point to that interviewing committee of bank officers approves 85% of individuals they interview. Determine probability that Ann's loan request is approved.
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