/*! 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.75 From generation to generation, t... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 9: Q.75 (page 543)

From generation to generation, the mean age when smokers first start to smoke varies. However , the standard deviation pf that age remains constant of around 2.1years . A survey of 40smokers of this generation was done to see if the mean starting age is at least 19. the sample mean was 18.1 with a sample standard deviation of1.3do the data support the claim at the 5%level?

Short Answer

Expert verified

The true mean is significantly less than 19.

Step by step solution

01

Given Information

From the question itself we are given,

X=18.1represents the mean height for the sample .

s=1.3represents the sample standard deviation for the sample.

蟽=2.1represents the population standard deviation for the sample .

n=40represents the sample size .

渭0=68represents the value that we want to test.

伪=0.05represents the significance level for the hypothesis test.

twould represent the statistic ( variable of interest)

pvrepresents the p value for the test

02

Explanation

H0=渭鈮�19H0=渭<19

The statistic is given by:

z=X炉-渭慰蟽nz=18.1-192.140z=-2.71

Since it is a one sided test the p value would be ;

pv=P(z<-2.71)pv=0.0033

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

A teacher believes that 85%of students in the class will want to go on a field trip to the local zoo. She performs a hypothesis test to determine if the percentage is the same or different from 85%. The teacher samples 50students and 39reply that they would want to go to the zoo. For the hypothesis test, use a 1%level of significance.

First, determine what type of test this is, set up the hypothesis test, find the p-value, sketch the graph, and state your conclusion.

The cost of a daily newspaper varies from city to city. However, the variation among prices remains steady with a

standard deviation of 20垄. A study was done to test the claim that the mean cost of a daily newspaper is $1.00. Twelve costs

yield a mean cost of 95垄 with a standard deviation of 18垄. Do the data support the claim at the 1% level?

La Leche League International reports that the mean age of weaning a child from breastfeeding is age four to five worldwide. In America, most nursing mothers wean their children much earlier. Suppose a random survey is conducted of21 U.S. mothers who recently weaned their children. The mean weaning age was nine monthsrole="math" localid="1649394170256" (3/4year) with a standard deviation of 4 months. Conduct a hypothesis test to determine if the mean weaning age in the U.S. is less than four years old.

Marketers believe that 92%of adults in the United States own a cell phone. A cell phone manufacturer believes that number is actually lower. 200American adults are surveyed, of which, 174report having cell phones. Use a 5%level of significance. State the null and alternative hypothesis, find the p-value, state your conclusion, and identify the Type Iand Type IIerrors.

We want to test if it takes fewer than 45minutes to teach a lesson plan. State the null and alternative hypotheses. Fill in the correct symbol (=,鈮�,鈮�,鈮�,鈮�,>)for the null and alternative hypotheses.

a.H0:渭-45

b.Ha:渭-45
See all solutions

Recommended explanations on Math Textbooks

Geometry

Read Explanation

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Probability and Statistics

Read Explanation

Mechanics Maths

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.