What is the required condition for the statistical procedure

Assignment Help Applied Statistics

Reference no: EM132282170

Assignment -

Problem1 - (Use MegaStat to answer this question)

A random sample of the average debt (in dollars) at graduation from 18 of the top 100 public colleges and universities is listed below.

16012 15784 16597 18105 12665 14734

17225 16953 15309 15297 14437 14835

13607 13374 19410 18385 22312 16656

a) Is there sufficient evidence at the 10% significance level to conclude that the population mean debt at graduation is less than $18000?

b) What is the required conditions for the statistical test in part (a)?

c) Estimate the population mean with 90% confidence.

Problem 2 - (Use MegaStat to answer this question)

How much money do winners go home with from the television quiz show Jeopardy? To determine an answer, a random sample of winners was drawn; the recorded amount of money each won is listed here.

26650 6060 52820 8490 13660 25840 49840 23790 51480 18960 990 11450 41810 21060 7860

a) Is there sufficient evidence at the 5% significance level to conclude that the mean winnings for all the show's players is less than 25000?

b) What is the required condition for the statistical procedure in part (a)?

c) Estimate the population mean with 95% confidence.

Problem 3 - (Use MegaStat to answer this question)

In some states, the law requires drivers to turn on their headlights when driving in the rain. A highway patrol officer believes that less than one-quarter (25%) of all drivers follow this rule. As a test, he randomly samples 200 cars driving in the rain and counts the number whose headlights are turned on. He finds this number to be 41.

a) Does the officer have enough evidence at the 10% significance level to support his belief?

b) What is the required condition for the statistical procedure in part (a)?

c) Estimate the population proportion with 90%confidence.

Problem 4 - (Use the Formula sheet and the Tables to answer this question, You should not use MegaStat)

Recent study stated that if a person chewed gum, the average number of sticks of gum he or she chewed daily was 8. To test the claim, a researcher selected a random sample of 36 gum chewers and found the mean number of sticks of gum chewed per day was 9. The standard deviation of the population is 1.

a) At α = 0.05, is the number of sticks of gum a person chews per day actually greater than 8? Calculate the value of the test statistic and state the alternatives, and conclusion.

b) Find a 95% confidence interval for the average number of sticks of gum he or she chewed daily

c) Explain what does "a 95% confidence" means.

d) What would your conclusion be if the p-value of the test is equal to 0.00?

e) State and check the assumptions of the test you used in (a).

Problem 5 - (Use the Formula sheet and the Tables to answer this question, You should not use MegaStat)

A statistics practitioner is in the process of testing to determine whether there is enough evidence to infer that the population mean is different from 190. She calculated the mean and standard deviation of a sample of 190 observations as x^- = 185 and s = 20.

a) Calculate the value of the test statistic of the test required to determine whether there is enough evidence at the 5% significance level and state the hypotheses of the test.

b) What would your conclusion be if the p-value of the test is equal to 0.001?

c) State and check the assumptions of the test you used in (a).

d) Estimate 95% confidence of the population mean.

e) Explain what does "a 95% confidence" means.

Problem 6 - (Use the Formula sheet and the Tables to answer this question, You should not use MegaStat)

For a certain year a study reports that the percentage of college students using credit cards was 83%. A college dean of student services feels that this is too high for her university, so she randomly selects 50 students and finds that 40 of them use credit cards.

a) At α = 0.10, is she correct about her university? Calculate the value of the test statistic and state the alternatives, and conclusion.

b) What would your conclusion be if the p-value of the test is equal to 0.00?

c) Estimate the population proportion with 90% confidence.

d) Check the assumptions of the test you used in (a).

Problem 7 - (Use the Formula sheet and the Tables to answer this question, You should not use MegaStat)

It has been reported that 40% of the adult population participate in computer hobbies during their leisure time. A random sample of 180 adults found that 65 engaged in computer hobbies.

a) At α = 0.01, is there sufficient evidence to conclude that the proportion differs from 40%? State the hypothesis, compute the test value, make the decision (p-value =0.287) and summarize the results.

b) Check the assumptions of the test you used in (a).

c) Estimate the population proportion with 99% confidence.

Attachment:- Assignment File.rar

Reference no: EM132282170

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