asked 2021-08-01

A survey was designed to study how business operations vary according to their size. Companies were classified as small, medium, or large.

asked 2021-05-31

A survey was designed to study how business operations vary according to their size. Companies were classified as small, medium, or large. Questionnaires were sent to 200 randomly selected businesses of each size. Because not all questionnaires were returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the two-way table. \(\begin{array} {lc} & \text{Business size} \ \text {Response?} &\begin{array}{l|c|c|c|c} & \text { Small } & \text { Medium } & \text { Large } & \text { Total } \\ \hline \text { Yes } & 125 & 81 & 40 & 246 \\ \hline \text { No } & 75 & 119 & 160 & 354 \\ \hline \text { Total } & 200 & 200 & 200 & 600 \end{array} \\ \end{array}\)

Which variable should be used as the explanatory variable? Explain.

asked 2021-05-21

A survey was designed to study how business operations vary according to their size. Companies were classified as small, medium, or large. Questionnaires were sent to 200 randomly selected businesses of each size. Because not all questionnaires were returned, researchers decided to investigate the relationship between the response rate and the size of the business. The data are given in the two-way table.

\(\begin{array}{|c|c|}\hline \text{Business size} & & \text{Small} & \text{Medium} & \text{Large} & \text{Total} \\ \hline \text{Response?} & \text{Yes} & 125 & 81 & 40 & 246 \\ \hline & \text{No} & 75 & 119 & 160 & 354 \\ \hline & \text{Total} & 200 & 200 & 600 \\ \hline \end{array}\)

Construct a segmented bar chart to summarize the relationship between business size and whether or not the business replied to the survey.

asked 2021-06-01

(a) What is the value of c\(\displaystyle{c}={1}-\alpha\);. Using the methods, construct a \(\displaystyle{c}={1}-\alpha\); confidence interval for μ from the sample data. What is the value of \(\mu\); given in the null hypothesis (i.e., what is k)? Is this value in the confidence interval? Do we reject or fail to reject \(H_0\) based on this information?

(b) using methods, find the P-value for the hypothesis test. Do we reject or fail to reject \(H_0\)? Compare your result to that of part (a).

asked 2021-06-07

Which of the following is NOT a conclusion of the Central Limit Theorem? Choose the correct answer below.

a) The distribution of the sample means x over bar x will, as the sample size increases, approach a normal distribution.

b) The distribution of the sample data will approach a normal distribution as the sample size increases.

c) The standard deviation of all sample means is the population standard deviation divided by the square root of the sample size.

d) The mean of all sample means is the population mean \(\mu\)

a) The distribution of the sample means x over bar x will, as the sample size increases, approach a normal distribution.

b) The distribution of the sample data will approach a normal distribution as the sample size increases.

c) The standard deviation of all sample means is the population standard deviation divided by the square root of the sample size.

d) The mean of all sample means is the population mean \(\mu\)

asked 2021-10-26

A standard 3 sigma x-bar chart has been enhanced with early warning limits at plus-minus one sigma from the centerline . Three sample means in a row have plotted above the +1 sigma line . what is the probability of this happening if the process is still in control.

asked 2021-06-05

For each pair of variables, indicate whether a two-way table would be appropriate for summarizing the relationship. In each case, briefly explain why or why not. Satisfaction with quality of local K through 12 schools (satisfied or not satisfied) and political party (Republican, Democrat, etc.). Height (centimeters) and foot length (centimeters).