The pages per book in a library are normally distributed with an unknown population mean and...

The pages per book in a library are normally distributed with an unknown population mean and standard deviation. A random sample of 41 books is taken and results in a sample mean of 341 pages and sample standard deviation of 22 pages. Find the EBM, margin of error, for a 95% confidence interval estimate for the population mean using the Student's t-distribution.

Solutions

Expert Solution

Solution: Given that n = 41, mean = 341, sd = 22, 95% Confidence interval
df = n-1 = 41 - 1 = 40, t(0.05,40) = 2.021

Margin of error = t*s/sqrt(n) = 2.021*22/sqrt(41) = 6.9438

95% confidence interval estimate for the population mean : x +/- t*s/sqrt(n)
= 341 +/- 2.021*22/sqrt(41)
= (334.0562 , 347.9438)

milcah answered 8 months ago

Next > < Previous

Related Solutions

The delivery times for a distributing site are normally distributed with an unknown population mean and...

The delivery times for a distributing site are normally distributed with an unknown population mean and standard deviation. If a random sample of 25 deliveries is taken to estimate the mean delivery time, what t-score should be used to find a 98% confidence interval estimate for the population mean? df t0.10 t0.05 t0.025 t0.01 t0.005 ... … … … … … 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 23 1.319 1.714 2.069 2.500 2.807 24...

The delivery times for a distributing site are normally distributed with an unknown population mean and...

The delivery times for a distributing site are normally distributed with an unknown population mean and standard deviation. If a random sample of 25 deliveries is taken to estimate the mean delivery time, what t -score should be used to find a 98% confidence interval estimate for the population mean? df t 0.10 t 0.05 t 0.025 t 0.01 t 0.005 ... … … … … … 21 1.323 1.721 2.080 2.518 2.831 22 1.321 1.717 2.074 2.508 2.819 23...

Assume Y is a normally distributed population with unknown mean, μ, and σ = 25. If...

Assume Y is a normally distributed population with unknown mean, μ, and σ = 25. If we desire to test H o: μ = 200 against H 1: μ < 200, (a.) What test statistic would you use for this test? (b.)What is the sampling distribution of the test statistic? (c.) Suppose we use a critical value of 195 for the scenario described. What is the level of significance of the resulting test? (d.) Staying with a critical value of 195,...

Suppose the average bus wait times are normally distributed with an unknown population mean and a...

Suppose the average bus wait times are normally distributed with an unknown population mean and a population standard deviation of of five minutes. A random sample of 30 bus wait times are taken and has a sample mean of 25 minutes. Find a 95% confidence interval estimate for the population mean wait time.

1) suppose average pizza delivery times are normally distributed with an unknown population mean and a...

1) suppose average pizza delivery times are normally distributed with an unknown population mean and a population standard deviation of 6 minutes. A random sample of 28 pizza delivery restaurants is taken and has a sample mean delivery time of 36 minutes. Find a 90% confidence interval estimate for the population mean delivery time.

Average pizza delivery times to the West Loop are normally distributed with an unknown population mean...

Average pizza delivery times to the West Loop are normally distributed with an unknown population mean and a population standard deviation of six minutes. Students in 270 at UIC collect a random sample of 28 pizza deliveries to the West is taken and they find sample mean delivery time of 36 minutes. Find a 60 and 95 percent confidence interval for µ.

suppose average pizza delivery times are normally distributed with unknown population mean and population standard deviation...

suppose average pizza delivery times are normally distributed with unknown population mean and population standard deviation of 6. A random sample of 28 pizza delivery restaurants is taken and has a sample mean of delivery time of 36 minutes. Show your work. A. find critical value of 99% confidence level b. sketch graph c. what distribution should you use for this problem d. calculate error bound e. lower endpoint upper endpoint

Assume that a population is normally distributed with a population mean of μ = 8 and...

Assume that a population is normally distributed with a population mean of μ = 8 and a population standard deviation of s = 2. [Notation: X ~ N(8,2) ] Use the Unit Normal Table to answer the following questions. (I suggest you draw a picture of the normal curve when answering these questions.) 8. Let X=4 Compute the z-score of X. For that z-score: a. What proportion of the area under the Unit Normal Curve is in the tail? b....

Assume that a population is normally distributed with a population mean of μ = 8 and...

Assume that a population is normally distributed with a population mean of μ = 8 and a population standard deviation of s = 2. [Notation: X ~ N(8,2) ] Use the Unit Normal Table to answer the following questions. (I suggest you draw a picture of the normal curve when answering these questions.) 8. Let X=7 Compute the z-score of X. For that z-score: a. What proportion of the area under the Unit Normal Curve is in the tail? b....

For some objects that are normally distributed, there is a variance 15 and unknown mean μ....

For some objects that are normally distributed, there is a variance 15 and unknown mean μ. In a simple random sample of 45 objects, the sample mean object was 16. Construct a symmetric 90% confidence interval forμ.

Subjects