30. Find the range, variance, and standard deviation for the given sample data, if possible. If the measures of variation can be obtained for these values, do the results make sense? Biologists conducted experiments to determine whether a deficiency of carbon dioxide in the soil affects the phenotypes of peas. Listed below are the phenotype codes, where 1=smooth-yellow, 2=smooth-green, 3=wrinkled yellow, and 4=wrinkled-green.

21323141222212222222

30a. Can the range of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice.

A.The range of the sample data is =

(Type an integer or a decimal. Do not round.)

B. The range of the sample data cannot be calculated.

30b. Can the standard deviation of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice.

A.The standard deviation of the sample data is =

(Round to one decimal place as needed.)

B.The standard deviation of the sample data cannot be calculated.

30c. Can the variance of the sample data be obtained for these values? Choose the correct answer below and, if necessary, fill in the answer box within your choice.

A.The variance of the sample data is =

(Round to one decimal place as needed.)

B.The variance of the sample data cannot be calculated.

30d. Do the results make sense?

A.The measures of variation do not make sense because the standard deviation cannot be greater than the variance.

B.It makes sense that the measures of variation cannot be calculated because there is not a large enough sample size to calculate the measures of variation.

C.While the measures of variation can be found, they do not make sense because the data are nominal; they don't measure or count anything.

D.The measures of variation make sense because the data is numeric, so the spread between the values is meaningful.

17. Use the sample data and confidence level given below to complete parts (a) through (d). A research institute poll asked respondents if they felt vulnerable to identity theft. In the poll, n=929 and x=541 who said "yes." Use a 95% confidence level.

a) Find the best point estimate of the population proportion p.

(Round to three decimal places as needed.)

b) Identify the value of the margin of error E.

E=

(Round to three decimal places as needed.)

c) Construct the confidence interval.

enter your response here

(Round to three decimal places as needed.)

d) Write a statement that correctly interprets the confidence interval. Choose the correct answer below.

A.95% of sample proportions will fall between the lower bound and the upper bound.

B.There is a 95% chance that the true value of the population proportion will fall between the lower bound and the upper bound.

C.One has95% confidence that the interval from the lower bound to the upper bound actually does contain the true value of the population proportion.

D.One has 95% confidence that the sample proportion is equal to the population proportion.