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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.
Compare your best difference to the result from an ordinary two-sample t-test between these groups. Comment the difference.
Write a one-page report to Ms. Gupta presenting your conclusions regarding the market performance of Brand 1.
About 72% of dog owners buy holiday presents for their dogs. Suppose n = 4 dog owners are randomly selected. Find the expected number of persons, in the sample, who buy their dog holiday presents.
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The so-called "Gambler's Fallacy" makes the mistake of not recognizing:
Suppose normality is not assumed. What nonparameiric test can be used to compare total heart weight of males with left-heart disease with that of normal males?
Explain these results to a person who understands the t test for a single sample but knows nothing about the t test for independent means.
What is an independent sample? What is a related sample? When should researchers use different hypothesis tests for independent and related samples?
A problem to solve. What sample size must be taken to estimate the average gas price in houston with 99% confidence and max error of 5 cents?
A commuter travels many miles to work each morning. She has timed this trip 5 times throughout the last month. The time (in minutes) required to make this trip was 44, 39, 41, 35, and 41.
For the following exercise, complete the following: Find the mean, median, and range for each of the two data sets. Find the standard deviation using the rule of thumb for each of the data sets.
Does the regression equation account for a significant portion of the variance in the cognitive scores? Use a=.05 to evaluate the F-ratio.
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