/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q. R10.4 Candles A company produces candl... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 10: Q. R10.4 (page 696)

Candles A company produces candles. Machine 1 makes candles with a mean

length of 15cm and a standard deviation of 0.15cm. Machine 2 makes candles with a

mean length of 15cm and a standard deviation of 0.10cm. A random sample of 49

candles is taken from each machine. Let x 虅1鈭抶 虅2 be the

difference (Machine 1 鈥� Machine 2) in the sample mean length of candles. Describe the

shape, center, and variability of the sampling distribution of x 虅1鈭抶 虅2.

Short Answer

Expert verified

Shape: Shape is approximately normal

Center: 渭x 虅1鈭抶 虅2=0

Variability:蟽x 虅1鈭抶 虅2=0.026cm

Step by step solution

01

Step 1:Given Information

We have been given that,

Machine 1 :

candles with a mean length,x1= 15cm

candles with a standard deviation,蟽1= 0.15cm

random sample of candles (n1)=49

Machine 2:

candles with a mean length,x2= 15cm

candles with a standard deviation,蟽2= 0.10cm

random sample of candles (n2)=49

02

Step 2:Explanation

n1 >30 and n2 >30

So, x 虅1鈭抶 虅2 has approximately normal shape.

渭x1鈭�x2=x1-x2=15-15=0

So,center =0

Variability:

localid="1654269722311" 蟽x1-x2=蟽12n1+蟽22n2=localid="1654269775856" 0.15249+0.10249=localid="1654269783223" 0.026cm

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Based on the P-value in Exercise 71, which of the following must be true?

a. A 90%confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭Fwill contain 0

b. A 95%confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭Fwill contain 0

c. A 99%confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭Fwill contain 0

d. A 99.9% confidence interval for 渭M鈭捨糉3051526=0.200=20.0%渭M-渭F will contain 0

A large university is considering the establishment of a schoolwide recycling program. To gauge interest in the program by means of a questionnaire, the university takes separate random samples of undergraduate students, graduate students, faculty, and staff. This is an example of what type of sampling design?

a. Simple random sample

b. Stratified random sample

c. Convenience sample

d. Cluster sample

e. Randomized block design

Literacy Refer to Exercise 2.

a. Find the probability that the proportion of graduates who pass the test is at most 0.20higher than the proportion of dropouts who pass, assuming that the researcher鈥檚 report is correct.

b. Suppose that the difference (Graduate 鈥� Dropout) in the sample proportions who pass the test is exactly 0.20. Based on your result in part (a), would this give you reason to doubt the researcher鈥檚 claim? Explain your reasoning.

Treating AIDS The drug AZT was the first drug that seemed effective in delaying

the onset of AIDS. Evidence for AZT鈥檚 effectiveness came from a large randomized

comparative experiment. The subjects were 870volunteers who were infected with HIV,

the virus that causes AIDS, but did not yet have AIDS. The study assigned 435of the

subjects at random to take 500milligrams of AZT each day and another 435to take a

placebo. At the end of the study, 38of the placebo subjects and 17of the AZT subjects

had developed AIDS.

a. Do the data provide convincing evidence at the 伪=0.05level that taking AZT lowers the proportion of infected people like the ones in this study

who will develop AIDS in a given period of time?

b. Describe a Type I error and a Type II error in this setting and give a consequence of

each error.

According to sleep researchers, if you are between the ages of 12and 18years old, you need 9 hours of sleep to function well. A simple random sample of 28students was chosen from a large high school, and these students were asked how much sleep they got the previous night. The mean of the responses was 7.9hours with a standard deviation of 2.1hours.

Which of the following is the standardized test statistic for the hypothesis test ?

  1. localid="1654221307488" t=7.9-92.128andt=7.9-92.128
  2. t=9-7.92.128andt=9-7.92.128
  3. t=7.9-92.128and t=7.9-92.128
  4. localid="1654221494579" t=7.9-92.127andt=7.9-92.127
  5. localid="1654221497857" t=9-7.92.127andt=9-7.92.127
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Mechanics Maths

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.