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Chapter 9: Q 9.22 (page 358)

Data on salaries in the public school system are published annually in Ranking of the States and Estimates of School Statistics by the National Education Association. The mean annual salary of (public) classroom teachers is $55.4thousand. A hypothesis test is to be performed to decide whether the mean annual salary of classroom teachers in Ohio is greater than the national mean.

Short Answer

Expert verified

The Null Hypothesis is H0:渭=$55.4and the Alternative Hypothesis is H0:渭>$55.4.

The hypothesis test is right-tailed.

Step by step solution

01

Step 1. Given Information.

The objective is to perform a hypothesis test to decide whether the mean annual salary of classroom teachers in Ohio is greater than the national mean.

02

Step 2. Null Hypothesis.

The Null Hypothesis is:

H0:渭=$55.4

The mean annual salary of the classroom teachers in Ohio is not greater than the national mean.

03

Step 3. Alternative Hypothesis.

The Alternative Hypothesis is:

H0:渭>$55.4

The mean annual salary of the classroom teachers in Ohio is greater than the national mean.

04

Step 4. Checking the hypothesis.

The hypothesis test is right-tailed.

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Most popular questions from this chapter

Cadmium, a heavy metal, is toxic to animals. Mushrooms, however are able to absorb and accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at \(0.5\) part per million M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and published the results in the paper "Influence of Some Factors in Toxicity and Accumulation of Cd from Edible Wild Macrofungi in NW Spain. A hypothesis test is to be performed to decide whether the mean cadmium level in Boletus pinicola mushrooms is greater than the government's recommended limit.

a. determine the null hypothesis

b. determine the alternative hypothesis

c. classify the hypothesis test as two tailed, left tailed or right tailed.

We have been provided a sample mean, sample size, and population standard deviation. In the given case, use the one-mean z-test to perform the required hypothesis test at the 5% significance level.

x炉=23,n=15,蟽=4,H0:渭=22,Ha:渭>22

In Exercise 8.146 on page 345,we introduced one-sided one mean-t-intervals. The following relationship holds between hypothesis test and confidence intervals for one-mean t-procedures: For a right-tailed hypothesis test at the significance level 伪, the null hypothesis H0:渭=渭0will be rejected in favor of the alternative hypothesis data-custom-editor="chemistry" Ha:渭>渭0if and only if 渭0is less than or equal to the 1-伪-level lower confidence bound for 渭. In each case, illustrate the preceding relationship by obtaining the appropriate lower confidence bound and comparing the result to the conclusion of the hypothesis test in the specified exercise.

Part (a): Exercise 9.114 (both parts)

Part (b) Exercise9.115

State two reasons why including the P-value is prudent when you are reporting the results of a hypothesis test.

Job Gains and Losses. In the article "Business Employment Dynamics: New Data on Gross Job Gains and Losses" (Monthly Labor Review, Vol. 127, Issue 4, pp. 29-42), J. Spletzer et al. examined gross job gains and losses as a percentage of the average of previous and current employment figures. A simple random sample of 20 quarters provided the net percentage gains (losses are negative gains) for jobs as presented on the WeissStats site. Use the technology of your choice to do the following.

a. Decide whether, on average, the net percentage gain for jobs exceeds 0.2. Assume a population standard deviation of 0.42. Apply

which we provide on the WeissStats site. Use the technology of your choice to do the following.

a. Obtain a normal probability plot, boxplot, histogram, and stemand-leaf diagram of the data.

b. Based on your results from part (a), can you reasonably apply the one-mean z-test to the data? Explain your reasoning.

c. At the 1%significance level, do the data provide sufficient evidence to conclude that the mean body temperature of healthy humans differs from 98.6掳F? Assume that 蟽=0.63掳F.
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