A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 56men and 74 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. 1) Identify the P-value and state the researcher's conclusion if the level of significance was alphaα=0.001 What is the P-value? ______ 2) State the researcher's conclusion. Which of the following is correct? A. Fail to reject hypothesis; there is not sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women B. Reject; there is sufficient evidence to conclude that the mean step pulse of men was less than the mean step pulse of women 3) What is the 98% confidence interval for the mean difference in pulse rates of men versus women? The lower bound is___ The upper bound is____ (Round to two decimal places as needed.) 3. Interpret this result. A.We are 98% confident that the means are in the confidence interval. B.We are 98% confident that the mean difference is in the confidence interval. Two sample T for Men vs Women N Mean StDev SE Mean Men 5656 112.5112.5 11.311.3 1.51.5 Women 7474 118.1118.1 14.514.5 1.71.7 98% CI for mu Men−mu Women (-10.98, -0.22) T-Test mu Men=mu Women (vs<) T=-2.47 P=0.0073 DF=127
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0073$$ 2) Since the P-value is greater than the level of significance (0.0073 > 0.001), we fail to reject the null hypothesis. Show more…
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A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 55 men and 77 women to participate in the study. Each subject was required to step up and down a 6-inch platform. The pulse of each subject was then recorded. The following results were obtained. (a) State the null and alternative hypotheses. Which of the following is correct? (b) Identify the P-value and state the researcher's conclusion if the level of significance was alpha = 0.02. What is the P-value? State the researcher's conclusion. Which of the following is correct? (c) What is the 95% confidence interval for the mean difference in pulse rates of men versus women? Interpret this result.
Jon S.
21. Comparing Step Pulses A physical therapist wanted to know whether the mean step pulse of men was less than the mean step pulse of women. She randomly selected 51 men and 70 women to participate in the study. Each subject was required to step up and down onto a 6-inch platform for 3 minutes. The pulse of each subject (in beats per minute) was then recorded. After the data were entered into Minitab, the following results were obtained: Two Sample T-Test and Confidence Interval Two sample T for Men vs Women N Mean StDev SE Mean Men 51 112.3 11.3 1.6 Women 70 118.3 14.2 1.7 95% CI for mu Men - mu Women: (-10.7, -1.5) T-Test mu Men = mu Women (vs <): T = -2.61 P = 0.0051 DF = 118 (a) State the null and alternative hypotheses. (b) Identify the P-value and state the researcher's conclusion if the level of significance was ̑ = 0.01. (c) What is the 95% confidence interval for the mean difference in pulse rates of men versus women? Interpret this interval.
David N.
A physical therapist wanted to know whether the mean step pulse of men and women was different. Each subject was required to step up and down onto a 6-inch platform for 3 minutes. The pulse of each subject (in beats per minute) was then recorded. A 95% confidence interval for the difference in mean pulse rates (men – women) was (– 10.7, – 1.5) bpm. Suppose a hypothesis test is to be performed to determine if there was a difference in mean pulse rates between men and women after the exercise. Which of the following is a correct statement? Choose the correct answer below. A. There is sufficient evidence at the 5% significance level to indicate that the mean pulse rate is the same for men and women after doing three minutes of "step-ups" since 0 is not between the lower and upper bounds. B. There is sufficient evidence at the 5% significance level to indicate that the mean pulse rate is different for men and women after doing three minutes of "step-ups" since 0 is not between the lower and upper bounds. C. There is not sufficient evidence at the 5% significance level to indicate that the mean pulse rate is the same for men and women after doing three minutes of "step-ups" since 0 is not between the lower and upper bounds. D. There is not sufficient evidence at the 5% significance level to indicate that the mean pulse rate is different for men and women after doing three minutes of "step-ups" since 0 is not between the lower and upper bounds.
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