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You are exploring starting a rental company that rents higher-end motorcycles. You suspect that your service would be of more interest to condo-dwellers than to

You are exploring starting a rental company that rents higher-end motorcycles. You suspect that your service would be of more interest to condo-dwellers than to people who live in houses, because they have less room to store motorcycles. To investigate, you survey samples from both groups, asking whether they own a high-end bike. 11 out of the 81 condo residents said that they own a motorcycle; 17 out of 85 house residents said that they own a motorcycle.

Use 'condo' as population 1 and 'house' as population 2.For this question, perform your calculations using the formulas--do not use the Analysis Toolpak tools.

  1. All of the next several questions refer to this situation and analysis (until a new situation is given.) For this question, you will again use the data from the data file, specifically the first column ('Post-secondary'). Post-seconary 7 5 4 7 5 2 2 7 5 6 6 4 5 5 4 5 5 4 6 5 7 5 5 6 6 5 7 4 4 3 5 6 3 4 5 3 7 3 3 7 7 3 7 7 6 6 6 7 5 7 6 5 6 4 6 7 7 4 7 6 3 4 3 5 7 7 5 4 6 5 6 5 3 3 5 3 5 7 7 2 1 7 6 5 5 5 7 7 3 6 6 4 5 5 7 7 6 7 6 6 7 5 7 4 2 6 4 7 7 6 5 4 6 4 2 7 4 5 7 6 7 4 5 5 5 5 6 7 2 5 4 5 2 5 7 4 3 5 7 5 4 6 4 6 5 5 5
  2. Determine the point estimate for the population standard deviation.

The next several questions refer to determining a confidence interval for the population variance, at the 99% confidence level.

  1. What is the chi-square score for the LEFT-tail of the interval (to at least three decimals)?)
  2. (Refer to the situation above.)
  3. What is the UPPER limit of the confidence interval for population VARIANCE (to at least three decimals)?

  1. (Refer to the situation above.)
  2. What is the UPPER limit of the confidence interval for population STANDARD DEVIATION (to at least three decimals)?

  1. The next several questions refer to doing a hypothesis test that the population variance for post-secondary is greater than 1.35, at a 95% confidence level.
  2. What is the correct alternative hypothesis? (s^2 < D0, s^2 > D0, s^2 = D0, s^2 != D0, sigma^2 < D0, sigma^2 > D0, sigma^2 = D, 0sigma^2 != D0)

  1. What is D0?
  2. What is the value of the test statistic (i.e., z, t, chi-square, F, etc.--depending on the test/distribution you are using)? Give your answer to at least three decimal places.

  1. What are the degrees of freedom? If degrees of freedom aren't required for this test, enter 0 as your answer.

  1. What is the p-value (to at least three decimal places
  2. What is the correct conclusion? (reject the null, do not reject the null, accept the null)

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