1. Find the midrange for the given sample data.

Listed below are the amounts of time (in months) that the employees of an electronics company have been working at the company. Find the midrange.

12 21 26 37 46 53 61 66 75 76 85 91 132 155

1. Find the indicated probability.

A bag contains 5 red marbles, 3 blue marbles, and 1 green marble. Find P(not blue).

3.Evaluate the expression.

11^c₄

4.Given the linear correlation coefficient r and the sample size n, determine the critical values of r and use your finding to state whether or not the given r represents a significant linear correlation. Use a significance level of 0.05.

r = 0.843, n=5

5.If z is a standard normal variable, find the probability.

The probability that z is greater than -1.82

6.Solve the problem.

A bank's loan officer rates applicants for credit. The ratings are normally distributed with a mean of 200 and a standard deviation of 50. If 40 different applicants are randomly selected, find the probability that their mean is above 215.

7.The given values are discrete. Use the continuity correction and describe the region of the normal distribution that corresponds to the indicated probability.

The probability of no more than 75 defective CD's

8.Use the normal distribution to approximate the desired probability.

Find the probability that in 200 tosses of a fair die, we will obtain at most 30 fives.

9.Assume that a sample is used to estimate a population proportion p. Find the margin of error E that corresponds to the given statistics and confidence level. Round the margin of error to four decimal places.

In a random sample of 184 college students, 97 had part-time jobs. Find the margin of error for the 95% confidence interval used to estimate the population proportion.

10.Use the given degree of confidence and sample data to construct a confidence interval for the population proportion p.

n = 125, x = 72; 90% confidence

11.Use the given data to find the minimum sample size required to estimate the population proportion.

Margin of error: 0.015; confidence level: 96%;p &qunknown

12.Solve the problem. Round the point estimate to the nearest thousandth.

50 people are selected randomly from a certain population and it is found that 13 people in the sample are over 6 feet tall. What is the point estimate of the proportion of people in the population who are over 6 feet tall?

13.Use the confidence level and sample data to find a confidence interval for estimating the population (mu). Round your answer to the same number of decimal places as the sample mean.A random sample of 130 full-grown lobsters had a mean weight of 21 ounces and a standard deviation of 3.0 ounces. Construct a 98% confidence interval for the population mean mu.

14.Assume that the data has a normal distribution and the number of observations is greater than fifty. Find the critical z value used to test a null hypothesis.

A= 0.05 for a left-tailed test.

15.Use the given information to find the P-value. Also, use a 0.05 significance level and state the conclusion about the null hypothesis (reject the null hypothesis or fail to reject the null hypothesis).

The test statistic in a right-tailed test is z = 1.43.