Margin of error: next formula; 18.) n=555; p^=0.65 19.) n=1260; p^=0.25 20.) n=420; p^=0.65 21.) n=2250; p^=0.853
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- 2.A machine puts out 16 imperfect articles in a sample of 500.After themachine is overbauled it turns 3 imperfect articles in a batch of 100.Has themachine improved?In order for an airline to cancel a flight, there needs to be over 6 inches of snow on the ground. Suppose we want to do a test to prove there is over 6 inches of snow on the ground. (Hint: In order to answer this question, you should first write out the null and alternative hypotheses). ROUND TO FOUR DECIMAL PLACES a. What is the type I error I could make here? Describe it in terms of this situation, NOT a general definition. b. What is the type II error I could make here? Describe it in terms of this situation, NOT a general definition. c. Which one has more severe consequences and why? Are both bad?From past experience a television manufacturer found that 15% or less of its sets needed any type of repair in the first two years of operation. In a sample of 60 sets manufactured two years ago, 10 needed a repair. Test the original claim at 3% SL. Apply one-sided test, give a complete calculation. Finally interpret the conclusion in terms of the example.
- A researcher for a cereal company wanted to demonstrate the health benefits of eating oatmeal. A sample of 9 volunteers was obtained each participant ate a fixed diet without any oatmeal for 30 days. At the end of the 30 days period cholesterol was measured for each individual. Then the participants begin a second 30 day period in which they repeated exactly the same diet except that they added 2 cups of oatmeal each day. After the second 30 day period, cholesterol levels were measured again and the researchers recorded the difference between the two scores for each participant. For this sample, cholesterol score averaged Md= 16 points lower with the oatmeal diet with SS=538 for the difference scores. A) Are the data sufficient to indicate a significant change in cholesterol levels? use a two-tail test with alpha=0.01A manufacturer claims that the batteries for a laptop can last up to 6 hours from full charge. State the null and alternative hypotheses and identify the claim of the manufacturer.A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) YesYesNoNoNoYesYesYesYesYesYesNoNoYesYesNoYesYesNoNoYesNoYesNoYesYesYesYesYesYesNoYesYesYesNoNoYesNoNoNo Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3% and a confidence level of 97.8%. Sample Size =