please help!!!3. A machine that produces a major part for an airplane engine is monitored closely. In the past, 15% of the parts produced would be def

please help!!!3. A machine that produces a major part for an airplane engine is monitored closely. In the past, 15% of the parts produced would be defective. With a .99 probability, find the sample size that needs to be taken if the desired margin of error is .03 or less.4. Out of a sample of 100, the average time it took to receive a fast food order was 2.3 minutes. It is known that the population standard deviation is .5.a. Find the standard error of the mean.b. With a .95 probability, the sample mean will provide what margin of error?c. Find the 95% confidence interval for the true average time.5. Find the sample size needed to provide a margin of error of 7 or less with a .99 probability when the population standard deviation is 12.6. Multiple choice question: The error of rejecting a true null hypothesis is:a. a Type I errorb. a Type II errorc. is the same as ?d. committed when not enough information is available7. A random sample of 13 students selected form the student body of a large university had an average age of 22.2 years old and a sample standard deviation of 2.3 years. We want to determine if the average age of all the students at the university is significantly different than 20. Assume the distribution of the population of ages is normal and use ?=.05.a. What are the null and alternative hypotheses?b. What is the critical value?c. Calculate the test statistic.d. Find the p-value.e. What conclusion is made here?8. The sales of a grocery store average of $15,600 per day. The store introduced several advertising campaigns in order to increase sales. To determine whether or not the advertising campaigns have been effective in increasing sales, a sample of 35 days of sales was selected. It was found that the average was $16,200 per day. From past information, it is known that the standard deviation of the population is $1700. Use ?=.10.a. What are the null and alternative hypotheses?b. What is the critical value?c. Calculate the test statistic.d. Find the p-value.e. What conclusion is made here?