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The McCollough Corporation, a producer of various kinds of batteries, has been producing "D" size batteries with a life expectancy of 87 hours. Due to an improved production process, the management believes that there has been an increase in the life expectancy of their "D" size batteries. A sample of 36 batteries showed an average life of 88.5 hours. Assume from past information that it is known that the standard deviation of the population is 9 hours.
Use a 0.01 level of significance to test for the evidence of improvement in the life expectancy of the batteries. Use the critical value criterion in your decision making.
[Hint: You need to (1) write the null and alternative hypotheses (2) know the significance level of the test (3) write the appropriate formula for the test-statistic (4) using the sample data, compute the numerical value of the test-statistic (5) look up the critical value, and finally (6) draw your conclusion].
What is the p-value of the test? Draw your conclusion using the p-value criterion.
When carrying out a large sample test of H 0 : m =10 vs. H a : m ¹ 10 by using a p-value, we reject H 0 at level of significance α when the p-value is:
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How do we go about interpreting the results of various types of statistical tests in health care research?
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Shopping time: House wares. How much customers buy is a direct result of how much time they spend in a store. The mean shopping time for women accompanied by children in national house wares stores is 7.3 minutes.
A medical researcher found a significant relationship among a person's age x1, cholesterol level x2, sodium level of the blood x3, and systolic blood pressure y.
Professor Cox needs a volunteer amongst 30 students in his statistical applications course. The average age of his students is 25 years, with the standard deviation of 3 years.
Using the z table in Table E of Appendix C, determine the critical value for the hightailed test with a = 0.035.
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