Log out Go to App
Go to App

Learning Materials

Features

Discover

Chapter 9: Q. 68 (page 588)

Anemia For the study of Jordanian children in Exercise 64, the sample mean hemoglobin level was 11.3mg/dl and the sample standard deviation was 1.6mg/dl.

(a) Calculate the test statistic.

(b) Find the P-value using Table B. Then obtain a

more precise P-value from your calculator.

Short Answer

Expert verified

a.t=-3.0936

b.p-value=1.638; using calculator,p-value ≈ 0.998352

Step by step solution

01

Given information

Anemia For the study of Jordanian children in Exercise 64, the sample mean hemoglobin level was 11.3mg/dl and the sample standard deviation was 1.6mg/dl.

02

Explanation (part a)

Hypothesised meanμ₀=12

Sample meanx̄=11.3

Sample standard deviations=1.6

Sample sizen=50

t-score

t=x¯−μ0s⋅n

On plugging all the values, we gett=-3.0936

03

Explanation (part b)

Using Table B, the p-value is found to be p-value=1.638

Using calculator, the p-value can be find by,

t-score: the test statistic follows the t-distribution with 49degrees of freedom.

p-value≈0.998352

Your result is not statistically significant: there is not enough evidence to reject the null hypothesis.

This decision is made at significance levelα=0.05.

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.

Start your free trial

Over 30 million students worldwide already upgrade their learning with Vaia!

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

How long does it take for a chunk of information to travel from one server to another and back on the Internet? According to the site internettrafficreport.com, a typical response time is 200milliseconds (about one-fifth of a second). Researchers collected data on response times of a random sample of14servers in Europe. A graph of the data reveals no strong skewness or outliers. The figure below displays Minitab output for a one-sample t interval for the population mean. Is there convincing evidence at the 5%significance level that the site’s claim is incorrect? Use the confidence interval to justify your answer.

Better barley Does drying barley seeds in a kiln increase the yield of barley? A famous experiment by William S. Gosset (who discovered the t distributions) investigated this question. Eleven pairs of adjacent plots were marked out in a large field. For each pair, regular barley seeds were planted in one plot and kiln-dried seeds were planted in the other. The following table displays the data on yield (lb/acre).

(a) How can the Random condition be satisfied in this study?

(b) Perform an appropriate test to help answer the research question. Assume that the Random condition is met. What conclusion would you draw?

When asked to explain the meaning of the P-value in Exercise 13, a student

says, “This means there is only probability 0.01 that the null hypothesis is true.” Explain clearly why the student’s explanation is wrong.

Attitudes The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students’ attitudes toward school and study habits. Scores range from 0to200. The mean score for U.S. college students is about 115. A teacher suspects that

older students have better attitudes toward school. She gives the SSHA to an SRS of 45of the over 1000students at her college who are at least 30years of age. Check the conditions for carrying out a significance test of the teacher’s suspicion.

The reason we use tprocedures instead of zprocedures when carrying out a test about a population mean is that

(a) zcan be used only for large samples.

(b)zrequires that you know the population standard deviation σ.

(c) zrequires you to regard your data as an SRS from the population.

(d) zapplies only if the population distribution is perfectly Normal.

(e) zcan be used only for confidence intervals.
See all solutions

Recommended explanations on Math Textbooks

Calculus

Read Explanation

Discrete Mathematics

Read Explanation

Probability and Statistics

Read Explanation

Decision Maths

Read Explanation

Logic and Functions

Read Explanation

Geometry

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.

Sign-up for free