Please help

1. Draw the standard normal distribution. Shade the area to the left of the z-score of -3.02. Find the shaded area. Round to the nearest ten-thousandth.

2. Draw the standard normal distribution. Shade the area between the z-score of -3.02 and -1.46. Find the shaded area. Round to the nearest ten-thousandth.

3. Draw the standard normal distribution. The shaded area to the left of the z-score is 0.0764. Find the z-score. Round to the nearest hundredth.

4. Suppose that replacement times for washing machines are normally distributed with a mean of 5.5 years and a standard deviation of 2.1 years. Find the replacement time that separates the top 1.1% from the rest. Round to the nearest hundredth.

5. Scores on a test are normally distributed with a mean of -45 and a standard deviation of 5. What percent of scores are more than -45? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

6. The weights of the fish in a certain lake are normally distributed with a mean of 10.1 lb and a standard deviation of 2.9 lb. If 32 fish are randomly selected, what is the probability that the mean weight will be less than 11.5 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

7. The weights of the fish in a certain lake are normally distributed with a mean of 8 lb and a standard deviation of 2 lb. If 15 fish are randomly selected, what is the probability that the mean weight will be between 7.0 and 8.2 lb? Express the answer as a percentage rounded to the nearest hundredth without the % sign.

8. Approximate the probability that in 42 tosses of a fair die, exactly 13 sixes will be obtained. Express the probability as a decimal rounded to the nearest thousandth.

9. Approximate the probability that in 56 tosses of a fair die, fewer than 6 threes will be obtained. Express the probability as a decimal rounded to the nearest thousandth.

10. A magazine provided results from a poll of 22 adults who were asked to identify their favorite pie. Among the respondents, 54% chose chocolate pie. If the confidence level is 98%, calculate the confidence interval for the proportion of adults who identify chocolate pie as their favorite pie.

Enter the upper bound of the confidence interval as a percentage without the % sign. (Round your percentage to the nearest tenth.)

11. You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that a prior survey suggests that about 3% of air passengers prefer an aisle seat. Assume that you want to be 95% confident that the sample percentage is within 2.5 percentage points of the true population percentage.

12. You are the operations manager for an airline and you are considering a higher fare level for passengers in aisle seats. How many randomly selected air passengers must you survey? Assume that you want to be 98% confident that the sample percentage is within 5.2 percentage points of the true population percentage.

13. The salaries of 11 college graduates who took a statistics course in college have a mean of $86,585 and a standard deviation of $1,642. Construct a 90% confidence interval for estimating the population means.

Enter the lower bound of the confidence interval. (Round your answer to the nearest whole dollar.)

14. Salaries of 11 college graduates who took a statistics course in college have a mean of $84,971 and a standard deviation of $1,173. Construct a 95% confidence interval for estimating the population mean.

Enter the lower bound of the confidence interval. (Round your answer to nearest whole dollar.)

15. John wishes to estimate the population mean salary of college graduates who took a statistics course in college. How many college graduates must he survey? Assume that the population standard deviation is known to be $1,678, and he wants to be 90% confident that the sample mean is within $158 of the true population mean.

16. Salaries of 25 college graduates who took a statistics course in college have a mean of $76,323 and a standard deviation of $1,311. Construct a 98% confidence interval for estimating the population standard deviation.

Enter the lower bound of the confidence interval. (Round your answer to the nearest whole dollar.)

17. John wishes to estimate the population standard deviation of the salary of college graduates who took a statistics course in college. How many college graduates must he survey? Assume that he wants to be the sample standard deviation to be within 30% of the population standard deviation and to be 99% confident of that statement.