Hello, the following problems I need help to solve

Problem 1: The average diameter of pencils is normally distributed with a population standard deviation of 0.15 cm. A random sample of 25 pencils found the average diameter to be 0.95 cm. Part A: Construct a 94% confidence interval for the population mean diameter. (2 pts) Part B: Interpret the confidence interval. (1 pt) Problem 2: A farmer measured 40 feed bags and calculated an average weight of 95.4 pounds and a sample standard deviation of 5.6 pounds. Part A: Construct a 95% confidence interval for the population mean weight. (2 pts)Part B: Interpret the condence interval. (1 pt) Problem 3: A farmer wants to test whether the mean weight of feed bags has decreased below 90 pounds. Part A: State the null hypothesis. (1 pt) Part B: State the alternative hypothesis. (1 pt) Part C: What is a Type I Error in this problem (Be specific to the problem)? (1 pt) Problem 4: A marketing analyst wants to test whether the mean daily sales are different from $35,655. Part A: State the null hypothesis. (1 pt) Part B: State the alternative hypothesis. (1 pt) Part C: What is a Type II Error in this problem (Be specific to the problem)? (1 pt)Problem 5: An engineer wants to test whether the mean diameter of pencils has increased above 0.95 cm. Sample data has given a sample standard deviation of 0.18 cm. A random sample of 36 pencils is selected. A level of signicance of 0.05 is chosen. Part A: State the null hypothesis. (1 pt) Part B: State the alternative hypothesis. (1 pt) Part C: What technique is used to test the claim? (1 pt) Part D: What test statistic is used to test the claim? (1 pt) Part E: Determine the critical point(s). (2 pts) Part F: If the sample mean equals 0.99 cm, what statistical decision is made? (1 pt) Part G: Interpret the statistical decision in Part F. (1 pt) Problem 6: A teacher wants to test whether the mean test time is different from 55.6 minutes. The population standard deviation is 5.6 minutes. A random sample of 49 test times is selected. A level of significance of 0.01 is chosen. Part A: State the null hypothesis. (1 pt) Part B: State the alternative hypothesis. (1 pt) Part C: Determine the critical point(s). (2 pts)Part D: If the sample mean equals 58.4 minutes, what statistical decision is made? (1 pt) Problem 7: A production supervisor wants to test whether the mean thickness of pennies has increased above 8 mm. Sample data has given a sample standard deviation of 0.75 mm. A random sample of 49 pennies is selected. A level of signicance of 0.05 is chosen. Part A: State the null hypothesis. (1 91;) Part B: State the alternative hypothesis. (1 pt) Part C: Determine the critical point(s). (2 pts) Part D: If the sample mean equals 8.23 mm, what statistical decision is made? (1 pt)