Question: A statistics student has constructed a confidence interval for the mean height of daughters whose mothers are 66 inches tall, and a prediction interval for

A statistics student has constructed a confidence interval for the mean height of daughters whose mothers are 66 inches tall, and a prediction interval for the height of a particular daughter whose mother is 66 inches tall. One of the intervals is (65.3, 68.2) and the other is (63.8, 69.7). Unfortunately, the student has forgotten which interval is which. Can you tell which is the confidence interval and which is the prediction interval? Explain.

Step by Step Solution

★★★★★

3.49 Rating (146 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

given data from the question We have two intervals constructed for the height of daughters whose mot... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Elementary Statistics Questions!

The data in the table are the diameters and heights of 10 fossil specimens of a species of small shellfish, Rotularia (Annelida) fallax, that were unearthed in a mapping expedition near the Antarctic...

A random sample of 50 female American health professionals yielded the following height data. a. What population was sampled to obtain the height data listed above? b. Describe the sample data using...

We need to find the confidence interval for the SLEEP variable. To do this, we need to find the mean and then find the maximum error. Then we can use a calculator to find the interval, (x E, x + E)....

MEAN 6.0000 WHEN WE HAVE LARGE DATA SETS, WE GROUP THE DATA. IN THIS CASE OUR GROUPS WILL BE: STD DEV 2.17 IN A NORMAL DISTRIBUTION THE MEAN, MEDIAN AND MODE ARE ALL THE SAME NUMBER X-VALUES Z-VALUES...

Refer to the Chance (Summer 2008) study of the height of the ideal mate, Exercise 11.33 (p. 601). The data were used to fit the simple linear regression model, E(y) = 0 + 1x, where y = ideal...

For samples of the specied size from the population described, nd the mean and standard deviation of the sample mean x. 1) The mean and the standard deviation of the sampled population are,...

ID PA ResidenDog 1 Yes No 2 No Yes 3 Yes No 4 Yes No 5 Yes No 6 No No 7 No Yes 8 No No 9 Yes Yes 10 No No 11 No Yes 12 Yes No 13 No No 14 No No 15 No No 16 Yes Yes 17 Yes No 18 No No 19 Yes No 20 No...

Use the data in Exercise 20 in Section 13.1 for the following. a. Compute a point estimate of the mean height of sons whose fathers are 70 inches tall. b. Construct a 95% confidence interval for the...

Drive (miles) 63 20 80 42 88 71 33 36 36 42 73 76 80 36 63 6 28 55 40 4 25 25 36 80 29 54 54 80 36 76 78 76 71 94 6 State OR MI PA FL MI MI SC MI OR IL FL NY PA TX PA SC NY OH IL MI GA CA TX NV TX FL...

You are an investor interested in the PE ratio of a firm. There are two likely scenarios, a high-growth scenario where the firm's earnings are growing rapidly at 30% in the next 4 years and a...

Dance in the Dark, Inc., amoung other things, manufactures dolls. The monthly production from an initial joint process is as follows: Costs of initial processing Direct Materials (plastic) Direct...

The cost formula for a company can be modeled by C 66050x03x2 where x represents the number of items made A formula for the companys income is modeled with R103x07x2 where x is the number of items...

Can you leverage the transition acceleration model through adoption of an online performance-support tool? AppendixLO1

Construct a 90% confidence interval for the population mean in Exercise 1. Interpret the results. Exercise 1 The waking times (in minutes past 5:00 a.m.) of 40 people who start work at 8:00 a.m. are...

Use the sample in Exercise 26 with c = 0.98. Construct the indicated confidence interval for the population proportion p. Interpret the results. If convenient, use technology to construct the...

I need help on #10 & shown how its done please & thank you! esent Value ofan Amount: Concept Conne . How 276 Part 2 Discounted C worth today if int s15,750 to be received in 12 years worth today be...

Three years ago, David purchased 2 8 0 shares of stock in F Corporation for $ 1 8 , 2 0 0 . On April 5 of year 4 , David sells the 2 8 0 shares for $ 1 6 , 5 0 0 . Part - a a . What is David's...

A down payment made at the inception of a capital lease by a government fund department decreases the fund balance of the government fund. True False 2. Which of the following would be included in...