According to the American Time Use Survey, the typical Amer…

 According to the American Time Use Survey, the typical Americans spends 154.8 minutes per day watching TV. A survey of 50 internet users results in a mean time watching TV per day of 128.7 minutes, with a standard deviation of 46.5 minutes. At the 0.05 significance level, test the claim that the Internet users spend less than 154.8 minutes per day watching TV. (14pts) Perform the following steps:  (3pts) Step 1: Requirements (2pts) Step 2:                 (3pts) Step 3: Test statistic (round to 3 decimals) (3pts) Step 4: Critical value (round to 3 decimals) (2pts) Step 5: Critical value Method  (1pt) Step 6: Conclusion  

The Revenue Commissioners in Ireland conducted a contest for…

The Revenue Commissioners in Ireland conducted a contest for promotion. Statistics from the ages of successful and unsuccessful applications are given below. Some of the unsuccessful applicants charged that the competition involved discrimination based on age. Assume the data were normally distributed.  Sample size Sample mean Sample standard deviation Ages of unsuccessful applicants 26 47 7.2 Ages of successful applicants  30 43.9 5.9 Construct a 95% confidence interval for the difference between the mean age of the successful applicants and the unsuccessful applicants. Show detailed work for the following steps: (6pts)  a) Calculator command:  b) Information input:  c) Confidence interval (round to 1 decimal place):  d) Interpretation:   

12 of 4500 people vaccinated against a certain disease later…

12 of 4500 people vaccinated against a certain disease later developed the disease. 18 of 6,000 people vaccinated with a placebo later developed the disease. A) Test the claim that the vaccine is effective in lowering the incidence of the disease using the steps below . Use the 0.02 significance level.  (14pts) Perform the following steps:             (3pts) Step 1: Requirements             (2pts) Step 2:                                                   (3pts) Step 3: Test statistic: (round to 3 decimal places)             (3pts) Step 4: P-value: (round to 3 decimal places)             (2pts) Step 5:  P-value method             (1pt) Step 6: Conclusion:    B) Construct a 94% confidence interval for the difference between the rates of developing the disease for the vaccine group and the placebo group using the following steps. (6pts) Perform the following steps:             (1pt) Command:              (2pts) Information for the command:             (1pt) CI: (round to 3 decimal places)             (2pts) Does it appear there is a difference between the two rates of developing the disease from the two groups? Explain   C) (2pts) Are the hypothesis test and the confidence interval giving the same result? Explain