Need Help ASAP!!! STAT 200

Question 1

For a simple random sample of pulse rates of women (measured in beats per minute), n = 145 and s = 13.7. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.10 significance level to test the claim that pulse rates of women have a standard deviation equal to 10 beats per minute; see the accompanying JMP display that results from using the original list of pulse rates instead of the summary statistics. (Hint: The bottom three rows of the display provide P-values for a two-tailed test, a left-tailed test, and a right-tailed test, respectively.) What do the results indicate about the effectiveness of using the range rule of thumb with the "normal range" from 60 to 100 beats per minute for estimating o in this case? Assume that the simple random sample is selected from a normally distributed population. i Click the icon to view the JMP display. Let o denote population standard deviation of the pulse rates of women (in beats per minute). Identify the null and alternative hypotheses. Ho: G = 10 Hy: 0 # 10 (Type integers or decimals. Do not round.) Identify the test statistic. 269.19 (Round to two decimal places as needed.) Identify the P-value. 0.000 (Round to three decimal places as needed.) State the conclusion about the null hypothesis, as well as the final conclusion that addresses the original claim. Reject the null hypothesis. There is sufficient evidence to | warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute. The results indicate that there is significant evidence that using the range rule of thumb with the "normal range" from 60 to 100 beats per minute for estimating o is not effective in this case.A study was conducted to determine the proportion of people who dream in black and white instead ofcolor. Among 3'1i'r people over the age of 55, El] dream in black and white, and among 293 people underthe age of25, 'l dream in black and white. Use a EH15 signicance level to test the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. Complete parts {a} through {c} below. c:) a. Test the claim using a hypothesis test. Consider the rst sample to he the sample of people over the age of 55 and the second sample to he the sample of people under the age ofEE. What are the null and alternative hypotheses for the hypothesis test? C} A. Ho: p.I =p2 C} B. Ho: p.I =p2 C} {2. HI}: p1sp2 H13P1P2 H13P1F2 H13P1=P2 C} D. l'lo: p.I Sp2 C} E. Hzp1=p2 C} F. H\": p12p2 thistle H13P1{P2 H13P1P2 Identify the test statistic. z=D [Round to two decimal places as needed.) Identify the Pvalue. Pyalue =D [Round to three decimal places as needed.) What is the conclusion based on the hypothesis test? The P-value is the significance level of a = 0.05, so the null hypothesis. There is evidence to support the claim that the proportion of people over 55 who dream in black and white is greater than the proportion for those under 25. b. Test the claim by constructing an appropriate confidence interval. The 90% confidence interval is |= (P1 - P2)