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We wish to compare the GPAs of male and female Eberly College of Science undergraduates. We want to see if there is a difference in the GPAs for the two groups of students. The computer output from our analysis is below: Two-Sample T-Test and CI: GPA, Gender Gender N Mean StDev SE Mean Female 126 3.277 0.469 0.042 Male 99 3.205 0.455 0.046 Difference = mu (Female) - mu (Male) Estimate for difference: 0.071371 95% CI for difference: (-0.051222, 0.193964) T-Test of difference = 0 (vs not =): T-Value = 1.15 P-Value = 0.252 a. What is the response variable? b. What is the explanatory variable? c. What type of data is the response variable? Measurement or categorical? d. What population value will be used in our hypotheses? Population mean or Population proportion? e. What type of samples do we have? Dependent (matched pairs) or Independent f. What type of study is this? Observational or Randomized Experiment g. What are the null and alternative hypotheses?
A certain brand of Green Energy light bulbs was advertised as having an average illumination life-span of 2,500 hours. A random sample of 50 bulbs burned out with a mean life-span of 2,470 hours and a sample standard deviation of 140 hours.
ph in the water is 7 at the .05 significance level. Her alternative hypothesis is that the water does not have a pH of 7. For which p-value will she fail to reject the null hypothesis?
Find the 90% confidence interval fo the mean. Does the confidence interval interpretation agree with the hypothesis testing results? Explain.
If 8 women are randomly sampled, what is the probability that 0 through 8 of the women are employed outside the home?
At the .05 significance level, is there a difference in gas mileage for the different types of gas? Write out your null and alternative hypotheses for the problem and state what the finding means practically.
A simple random sample of front-seat occupants involved in car crashes is obtained. Among 2823 occupants not wearing seat belts, 31 were killed. Among 7765 occupants wearing seat belts, 16 were killed.
Is the proportion of men who felt that division of housework was fair greater than the proportion of women who felt the division of housework was fair? Use alpha = .05 for the test.
Determine the critical region and critical values for z that would be used to test the null hypothesis at the given level of significance, as described in each of the following:
An apple juice producer buys all his apples from a conglomerate of apple growers in one northwest state. The amount of juice squeezed from each of these apples
The score for people in general on this questionnaire is 75, with a standard deviation of 12. Using the five steps of hypothesis testing and the 5% significance level (alpha).
What are examples in which regression analysis is used for forecasting? What are some primary and secondary sources of data that may be used in correlation and regression analysis?
What do you mean by degrees of feedom in statistics? Explain the concept of degrees of freedom for each of the following hypothesis tests.
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