A simple random sample of pulse rates of 25 women from a normally distributed population results in a standard deviation

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A simple random sample of pulse rates of 25 women from a normally distributed population results in a standard deviation of 124 boats per minuto. 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 bents per minute. Use the sample results with a 0.01 significance level to test the claim that pulse rates of women have a standard deviation equal to 10 beats per minute. Complete parts (a) through (d) below. Com OB. Ho: o 10 beats per minute M: 0 < 10 beats per minute OD. Hyxa10 beats per minute H:10 boats per minute a. Identify the nul and alternative hypotheses. Choose the correct answer below. O A. Ho: 02 10 beats per minute Hos 10 bonts per minute OC. Mga 10 beats per minute Hi su 10 beats per minute b. Compute the test stilistic X. (Round to three decimal places as needed.) c. Find the value of the test statistic The P value of the test statistic is (Round to three decimal places as needed) for d. State the conclusion VH There sufficient evidence lo warrant rejection of the claim that pulse rates of women have a standard deviation equal to 10 beats per minute

Test the given claim. Identify the null hypothesis, alternative hypothesis, tost statistic, P-value, and then state the conclusion about the null hypothesis, as well as the final condusion that addresses the original claim. Among 2079 passenger cars in a particular region, 237 had only rear license plates. Among 318 commercial trucks, 45 had only rear license platos. A reasonable hypothesis is that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars. Use a 0.05 significance level to test that hypothesis. a. Test the claim using a hypothesis test b. Tost the clnim by constructing an appropriate confidence interval a. Identity the null and alternative hypotheses for this test. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. OA Ho: P.-P2 HP P2 Ов, нер, “Ра Hq : P1 P2 Ос. Но Р°Ра HD, OD. Hy : P = P2 H₂ : P *P2 o Identity the test statistio H (Round to two decimal places as needed) Identify the P.value

Round to two decimal places as needed.) Identify the P-value (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. O A Fail to reject Hy. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rato than owners of passenger cars OB. Reject Ho. There is not sufficient evidence to support the daim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars OG Fatto reject He. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rote than owners of passenger cars OD. Rejec Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front ionnse plates at a higher rate than owners of passenger cars

O A Fal to reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars OB. Reject Ho. There is not sufficient evidence to support the claim that commercial trucks owners Violnte laws requiring front license plates at a higher rate than owners of passenger cars. OC. Fail to reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher rate than owners of passenger cars OD. Reject Ho. There is sufficient evidence to support the claim that commercial trucks owners violate tows requiring front icerise plates at a higher rate than owners of passenger cars b. Identify the confidence interval limits for the appropriate confidence interval. Let population 1 correspond to the passenger cars and population 2 correspond to the commercial trucks. Let a success be a vehicle that only has a rear license plate. (Round to four decimal places as needed) Because the confidence interval limits O, there a significant difference between the two proportions. There V sufficient evidence to support the claim that commercial trucks owners violate laws requiring front license plates at a higher role than owners of passenger cars