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Test Statistics. In Exercises 13鈥16, refer to the exercise identified and find the value of the test statistic. (Refer to Table 8-2 on page 362 to select the correct expression for evaluating the test statistic.)

Exercise 7 鈥淧ulse Rates鈥

Short Answer

Expert verified

The value of the test statistic (z-score) is equal to 0.656.

Step by step solution

01

Given Information

For a sample of 153 adult males, the mean pulse rate is equal to 69.6 bpm, and the standard deviation is equal to 11.3 bpm.

02

Hypotheses

It is claimed that the mean pulse rate of adult males is equal to 69 bpm.

Corresponding to the given claim, the following hypotheses are set up:

Null hypothesis: The mean pulse rate of adult males is equal to 69 bpm.

H0:=69

Alternative hypothesis: The mean pulse rate of adult males is not equal to 69 bpm.

H1:69

03

Test statistic

Since the claim involves testing the equality of the sample mean with a hypothesized value, the test statistic used will be the z-score.

The value of the sample mean is equal tox=69.6

The given value of the mean pulse rates of adult malesis supposed to be equal to 69.

Thus,=69 .

The sample size (n) is equal to 153.

The value of the test statistic is computed below:

z=x-n=69.6-6911.3153=0.656

Thus, the test statistic is equal to 0.656.

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Most popular questions from this chapter

Testing Hypotheses. In Exercises 13鈥24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

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Testing Claims About Proportions. In Exercises 9鈥32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.

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Testing Hypotheses. In Exercises 13鈥24, assume that a simple random sample has been selected and test the given claim. Unless specified by your instructor, use either the P-value method or the critical value method for testing hypotheses. Identify the null and alternative hypotheses, test statistic, P-value (or range of P-values), or critical value(s), and state the final conclusion that addresses the original claim.

Is the Diet Practical? When 40 people used the Weight Watchers diet for one year, their mean weight loss was 3.0 lb and the standard deviation was 4.9 lb (based on data from 鈥淐omparison of the Atkins, Ornish, Weight Watchers, and Zone Diets for Weight Loss and Heart Disease Reduction,鈥 by Dansinger et al., Journal of the American Medical Association, Vol. 293, No. 1). Use a 0.01 significance level to test the claim that the mean weight loss is greater than 0. Based on these results, does the diet appear to have statistical significance? Does the diet appear to have practical significance?

Testing Claims About Proportions. In Exercises 9鈥32, test the given claim. Identify the null hypothesis, alternative hypothesis, test statistic, P-value, or critical value(s), then state the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Use the P-value method unless your instructor specifies otherwise. Use the normal distribution as an approximation to the binomial distribution, as described in Part 1 of this section.

Touch Therapy Repeat the preceding exercise using a 0.01 significance level. Does the conclusion change?

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