Compute the sample mean and standard deviation for each index.

In the earlier exercise, a population and sample size are given. Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population.

The minutes of overtime reported by each of the three executives at a corporation are 90,120 , and 210. Use a sample size of 3.

A population has a mean $\mu$ and a standard deviation $\sigma$. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. $\mu=45, \sigma=15, n=100$

Specify the mathematical symbol used for each of the following descriptive measures. a. Sample mean, b. Sample standard deviation, c. Population mean, d. Population standard deviation.

A population has a mean $\mu$ and a standard deviation $\sigma$. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. $\mu=1275, \sigma=6, n=1000$

Find the mean and standard deviation of the population. List all samples (with replacement) of the given size from that population and find the mean of each. Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population. The scores of three students in a study group on a test are 98, 95, and 93. Use a sample size of 3.

A population has a mean $\mu$ and a standard deviation $\sigma$. Find the mean and standard deviation of the sampling distribution of sample means with sample size n. $\mu=150, \sigma=25, n=50$

A population and sample size are given. (a) Find the mean and standard deviation of the population. (b) List all samples (with replacement) of the given size from the population and find the mean of each. (c) Find the mean and standard deviation of the sampling distribution of sample means and compare them with the mean and standard deviation of the population. The minutes of overtime reported by each of the three executives at a corporation are 90, 120, and 210. Use a sample size of 3.

Compute the mean and standard deviation for the following sample of $n=5$ scores: $70,72,71,80$, and 72. Hint: To simplify the arithmetic, you can subtract 70 points from each score to obtain a new sample. Then, compute the mean and standard deviation for the new sample. Finally, make the correction for having added 70 points to each score to find the mean and standard deviation for the original sample.

Sample annual salaries (in thousands of dollars) for employees at a company are listed.

$$\begin{array}{lllllllllllll}40 & 35 & 49 & 53 & 38 & 39 & 40 & 37 & 49 & 34 & 38 & 43 & 47\end{array}$$

(a) Find the sample mean and sample standard deviation. (b) Each employee in the sample is given a $\$ 1000$ raise. Find the sample mean and sample standard deviation for the revised data set. (c) Each employee in the sample takes a pay cut of $\$ 2000$ from their original salary. Find the sample mean and sample standard deviation for the revised data set. (d) What can you conclude from the results of (a), (b), and (c)?

The days to maturity for a sample of five money market funds are shown here. The dollar amounts invested in the funds are provided. Use the weighted mean to determine the mean number of days to maturity for dollars invested in these five money market funds.

$$\begin{matrix} \text{Days to Maturity} & \text{Dollar Value (\$millions)}\\ \text{20} & \text{20}\\ \text{12} & \text{30}\\ \text{7} & \text{10}\\ \text{5} & \text{15}\\ \text{6} & \text{10}\\ \end{matrix}$$

Public transportation and the automobile are two methods an employee can use to get towork each day. Samples of times recorded for each method are shown. Times are in minutes.

$$\begin{matrix} \text{Public Transportation:} & \text{28} & \text{29} & \text{32} & \text{37} & \text{33} & \text{25} & \text{29} & \text{32} & \text{41} & \text{34}\\ \text{Automobile:} & \text{29} & \text{31} & \text{33} & \text{32} & \text{34} & \text{30} & \text{31} & \text{32} & \text{35} & \text{33}\\ \end{matrix}$$

Compute the sample mean time to get to work for each method.

Sample annual salaries (in thousands of dollars) for employees at a company are listed.

42 36 48 51 39 39 42 36 48 33 39 42 45

(a) Find the sample mean and the sample standard deviation.

(b) Each employee in the sample receives a 5% raise. Find the sample mean and the sample standard deviation for the revised data set.

(c) To calculate the monthly salary, divide each original salary by 12. Find the sample mean and the sample standard deviation for the revised data set.

(d) What can you conclude from the results of (a), (b), and (c)?

Sample annual salaries (in thousands of dollars) for employees at a company are listed.

$$48, 45,62,59,32,32,48,45,62,26,59,48,49.$$

Each employee in the sample is given a $5\%$ raise. Find the sample mean and sample standard deviation for the revised data set.