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Chapter 9: Q.64 (page 587)

Hemoglobin is a protein in red blood cells that carries oxygen from the lungs to body tissues. People with fewer than 12 grams of hemoglobin per deciliter of blood (g/dl) are anemic. A public health official in Jordan suspects that Jordanian children are at risk of anemia. He measures a random sample of 50 children. Check the conditions for carrying out a significance test of the official鈥檚 suspicion.

Short Answer

Expert verified

The conditions have been mentioned

Step by step solution

01

Introduction

A sampling distribution is a probability distribution of a statistic obtained from a bigger number of tests drawn from a specific population. The sampling distribution of a given population is the distribution of frequencies of the scope of different results that might actually happen for a statistic of a population.

02

Explanation

The conditions for carrying out a significant test of the officer鈥檚 suspicion are-

Random sampling should be done.

The sample size is less than 10%of population size as the number of children is at least500.

The sample size ought to be huge and bigger than30with the goal that we can expect the population is typical. Fifty children are chosen randomly. The test size is 50which is more than 30.

We assume the population is normal.

Hence the conditions for carrying out a significance test of the officials suspicion have been done.

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Most popular questions from this chapter

An investor with a stock portfolio worth several hundred thousand dollars sued his broker due to the low returns he got from the portfolio at a time when the stock market did well overall. The investor鈥檚 lawyer wants to compare the broker鈥檚 performance against the market as a whole. He collects data on the broker鈥檚 returns for a

random sample of 36 weeks. Over the 10-year period that the broker has managed portfolios, stocks in the Standard & Poor鈥檚 500 index gained an average of 0.95% per month. The Minitab output below displays descriptive statistics for these data, along with the results of a significance test.

(a) Determine whether there are any outliers. Show your work.

(b) Interpret the P-value in context.

(c) Do these data give convincing evidence to support the lawyer鈥檚 case? Carry out a test to help you answer this question.

Radon detectors Radon is a colorless, odorless gas that is naturally released by rocks and soils and may concentrate in tightly closed houses. Because radon is slightly radioactive, there is some concern that it may be a health hazard. Radon detectors are sold to homeowners worried about this risk, but the detectors may be inaccurate. University researchers placed a random sample of 11detectors in a chamber where they were exposed to 105picocuries per liter of radon over 3days. A graph of the radon readings from the 11detectors shows no strong skewness or outliers. The Minitab output below shows the results of a one-sample t interval. Is there significant evidence at the 10%level that the mean reading 渭differs from the true value 105? Give appropriate evidence to support your answer.

A random sample of 100likely voters in a small city produced 59voters in favor of Candidate A. The observed value of the test statistic for testing the null hypothesis H0:p=0.5versus the alternative hypothesis Ha:p=0.5is

(a)z=0.59-0.50.59(0.41)100

(b). z=0.59-0.50.5(0.5)100

(c). z=0.5-0.590.59(0.41)100

(d). z=0.5-0.590.5(0.5)100

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1.111.071.111.071.121.081.081.181.181.181.12

Is there convincing evidence that the conductivity of this type of glass is greater than 1? Carry out a test to help you answer this question.

Taking stock An investor with a stock portfolio worth several hundred thousand dollars sued his broker due to the low returns he got from the portfolio at a time when the stock market did well overall. The investor鈥檚 lawyer wants to compare the broker鈥檚 performance against the market as a whole. He collects data on the broker鈥檚 returns for a random sample of36weeks. Over the 10-year period that the broker has managed portfolios, stocks in the Standard & Poor鈥檚 500index gained an average of 0.95%per month. The Minitab output below displays descriptive statistics for these data, along

with the results of a significance test.

(a) Determine whether there are any outliers. Show your work.

(b) Interpret the P-value in context.

(c) Do these data give convincing evidence to support the lawyer鈥檚 case? Carry out a test to help you answer this question.
See all solutions

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