Questions 1-4 i need help in

1. Is the temperature required to damage a computer on the average more than 90 degrees? Because of the price of testing, twenty -seven computers were tested to see what minimum temperature will damage the computer. The damaging temperature averaged 100.9 degrees with a standard deviation of 2.5 degrees. Assume that the distribution of all computers' damaging temperatures is approximately normal. Use a = 0.05. a. Write Null and alternate hypotheses. b. Find Sample Test Statistics (write formula and round your answer to two decimal places) C. Find P-value and compare with a (round your answer to four decimal places) d. Do you reject or fail to reject Ho e . Write conclusion in the context of the application f. Find a 95% confidence interval g. What is the possible error 2. Is the national crime rate really going down? Some sociologists say yes! They say that the reason for the decline in crime rates in the 1980s and 1990s is demographics. It seems that the population is aging, and older people commit fewer crimes. According to the FBI and the Justice Department, 63% of all arrests are of males aged 15 to 34 years. Suppose you are a sociologist in Rock Springs, Wyoming, and a random sample of police files showed that of 201 arrests last month, 103 were of males aged 15 to 34 years. Use a 1% level of significance to test the claim that the population proportion of such arrests in Rock Springs is different than 63%. a. Write Null and alternate hypotheses b. Find Sample Test Statistics (write formula and round your answer to two decimal places) C. Find P-value and compare with a (round your answer to four decimal places) d. Do you reject or fail to reject Ho e. Write conclusion in the context of the application f. Find a 99% confidence interval g. What is the possible error 3. In 1995, 22% of adults aged 18 years or older reported that they had "a great deal" of confidence in the public schools. On June 1, 2005, the Gallup Organization (www.gallup.com) released results of a poll in which 450 of 850 adults aged 18 years or older stated that they had "a great deal" of confidence in public schools. Does the evidence suggest at the a = 0.01 significance level that the proportion of adults aged 18 years or older having "a great deal" of confidence in the public schools is significantly higher in 2005 than the 1995 proportion? a. Write Null and alternate hypotheses. b. Find Sample Test Statistics (write formula and round your answer to two decimal places) Find P-value and compare with a (round your answer to four decimal places) Do you reject or fail to reject Ho e . Write conclusion in the context of the application f . Find a 99% confidence interval g . What is the possible error 4. A professor wants to know if her introductory statistics class has a good grasp of basic math. Eight students are chosen at random from the class and given a math proficiency test. The professor wants the class to be able to score above 75 on the test. The eight students get scores of 72, 85, 77, 78, 80, 85, 84 and 91. Can the professor have 90 percent confidence that the mean score for the class on the test would be above 75? Use a = 0.10. a. Write Null and alternate hypotheses. b. Find Sample Test Statistics (write formula and round your answer to two decimal places) C. Find P-value and compare with a (round your answer to four decimal places) d. Do you reject or fail to reject Ho e. Write conclusion in the context of the application f . Find a 90% confidence interval g. What is the possible error