a companys workforce of 10000 workers was randomly sampled by aunion organizer; the sample of...

a companys workforce of 10000 workers was randomly sampled by a union organizer; the sample of 25 workers gave a 95% confidence interval for the mean income(annual): $20000 plus minus $3,000. What is the 95 confience interval for the total payproll (total income of all10,000 workers)
a. 200000000 plus minus 30000000
b. 200000000 plus minus 15000
c. cannot be determined from this data
d. 200000000 plus minus 300000

Solutions

Expert Solution

200000000 plus minus 3000000 (a)

[ explanation:-

theory:-

a 95% confidence interval of population mean =

the 95% confidence interval for total observations (n) is =

***SOLUTION TO THE PROBLEM ***

the 95% confidence interval for the mean income(annual) is :-

the 95 % confidence interval for the total payroll (total income of all 10,000 workers) is:-

[ here, n = 10000]

]

orchestra answered 2 years ago

Next > < Previous

Related Solutions

A population proportion is 0.57. Suppose a random sample of 663 items is sampled randomly from...

A population proportion is 0.57. Suppose a random sample of 663 items is sampled randomly from this population. a. What is the probability that the sample proportion is greater than 0.59? b. What is the probability that the sample proportion is between 0.52 and 0.59? c. What is the probability that the sample proportion is greater than 0.55? d. What is the probability that the sample proportion is between 0.52 and 0.53? e. What is the probability that the sample...

A population proportion is 0.59. Suppose a random sample of 663 items is sampled randomly from...

A population proportion is 0.59. Suppose a random sample of 663 items is sampled randomly from this population. Appendix A Statistical Tables a. What is the probability that the sample proportion is greater than 0.60? b. What is the probability that the sample proportion is between 0.54 and 0.64? c. What is the probability that the sample proportion is greater than 0.57? d. What is the probability that the sample proportion is between 0.52 and 0.55? e. What is the...

A population proportion is 0.60. Suppose a random sample of 660 items is sampled randomly from...

A population proportion is 0.60. Suppose a random sample of 660 items is sampled randomly from this population. Appendix A Statistical Tables a. What is the probability that the sample proportion is greater than 0.62? b. What is the probability that the sample proportion is between 0.56 and 0.62? c. What is the probability that the sample proportion is greater than 0.59? d. What is the probability that the sample proportion is between 0.58 and 0.59? e. What is the...

A population proportion is 0.59. Suppose a random sample of 661 items is sampled randomly from...

A population proportion is 0.59. Suppose a random sample of 661 items is sampled randomly from this population. a. What is the probability that the sample proportion is greater than 0.60? b. What is the probability that the sample proportion is between 0.57 and 0.60? c. What is the probability that the sample proportion is greater than 0.57? d. What is the probability that the sample proportion is between 0.53 and 0.56? e. What is the probability that the sample...

A manufacturer of sports drink has randomly sampled 198 men and 202 women. Each sampled participant...

A manufacturer of sports drink has randomly sampled 198 men and 202 women. Each sampled participant was asked to taste an unflavored version and a flavored version of new sports drink currently in development. The participants preferences are shown in table. Flavored UnFlavored Total Men 101 97 Women 68 134 Total 1. State the null and alternative hypothesis. 2. Conduct the appropriate test and state a conclusion with the significance level alpha=0.01

In a clinical trial of a? vaccine, 10000 children were randomly divided into two groups. The...

In a clinical trial of a? vaccine, 10000 children were randomly divided into two groups. The subjects in group 1? (the experimental? group) were given the vaccine while the subjects in group 2? (the control? group) were given a placebo. Of the 5000 children in the experimental? group, 74 developed the disease. Of the 5000 children in the control? group, 107 developed the disease. Determine whether the proportion of subjects in the experimenta group who contracted the disease is less...

A survey of 25 randomly sampled judges employed by the state of Florida found that they...

A survey of 25 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $59.00 per hour. The sample standard deviation was $6.05 per hour. (Use t Distribution Table.) What is the best estimate of the population mean? Develop a 99% confidence interval for the population mean wage (including benefits) for these employees. (Round your answers to 2 decimal places.) How large a sample is needed to assess the population mean...

A survey of 25 randomly sampled judges employed by the state of Florida found that they...

A survey of 25 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $67.00 per hour. The sample standard deviation was $5.75 per hour. What is the best estimate of the population mean? Develop a 95% confidence interval for the population mean wage (including benefits) for these employees. (Round your answers to 2 decimal places.) How large a sample is needed to assess the population mean with an allowable error...

In a city of 80,000 households, 800 were randomly sampled in a marketing survey by an...

In a city of 80,000 households, 800 were randomly sampled in a marketing survey by an auto manufacturer. To see how typical this city was, some statistics were collected: the average number of cars per household was 1.32, while the standard deviation for the number of cars per household was 0.8. Construct a 95% confidence interval for the average number of cars per household in the whole city.

A survey of 20 randomly sampled judges employed by the state of Florida found that they...

A survey of 20 randomly sampled judges employed by the state of Florida found that they earned an average wage (including benefits) of $63.00 per hour. The sample standard deviation was $5.90 per hour. (Use t Distribution Table.) What is the best estimate of the population mean? Develop a 98% confidence interval for the population mean wage (including benefits) for these employees. (Round your answers to 2 decimal places.) Confidence interval for the population mean wage is between and How...

Subjects