The law requires drivers turn their headlights when driving the rain

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.

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

1. Estimate the population mean with 90% confidence.

21060 7860

1. 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?

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

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

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

3. Explain what does “a 95% confidence” means.

1. 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.

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

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.

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

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.

1. 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.

• Confidence interval estimator of p