Q #1

7. [0.58/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.5.011. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A random sample of n, = 49 measurements from a population with population standard deviation of = 5 had a sample mean of x, = 8. An independent random sample of n2 = 64 measurements from a second population with population standard deviation o, = 6 had a sample mean of X2 = 11. Test the claim that the population means are different. Use level of significance 0.01. (a) Check Requirements: What distribution does the sample test statistic follow? Explain. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. (b) State the hypotheses O HO : H 1 = #2i H1 : H 1 > H2 O Ho: H1 = Hzi H1: H1 = H2 O HO: H 1 # 12i H 1: H1 = 12 OH: H 1 = Hzi H1: H1 = H2 (c) Compute X, - X2. * 1 - * 2 = Compute the corresponding sample distribution value. (Test the difference /, - /2. Round your answer to two decimal places.) (d) Find the P-value of the sample test statistic. (Round your answer to four decimal places.)8. [0.48/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.5.013.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER For one binomial experiment, n, = 75 binomial trials produced , = 30 successes. For a second independent binomial experiment, /2 = 100 binomial trials produced 2 = 50 successes. At the 5% level of significance, test the claim that the probabilities of success for the two binomial experiments differ. LO USE SALT (a) Compute the pooled probability of success for the two experiments. (Round your answer to three decimal places.) (b) Check Requirements: What distribution does the sample test statistic follow? Explain. The standard normal. We assume the population distributions are approximately normal. O The Student's t. We assume the population distributions are approximately normal. O The Student's t. The number of trials is sufficiently large. The standard normal. The number of trials is sufficiently large. (c) State the hypotheses. O Ho: P1 = P2; H1: P1 P2 O HO: P1 H2 (b) What sampling distribution will you use? What assumptions are you making? The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. The Student's t. We assume that both population distributions are approximately normal with known standard deviations. What is the value of the sample test statistic? (Test the difference #1 - (2. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)10. [0.61/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.5.017. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A Michigan study concerning preference for outdoor activities used a questionnaire with a six-point Likert-type response in which 1 designated "not important" and 6 designated "extremely important." A random sample of n, = 50 adults were asked about fishing as an outdoor activity. The mean response was x, = 4.9. Another random sample of n, = 42 adults were asked about camping as an outdoor activity. For this group, the mean response was X2 = 5.8. From previous studies, it is known that of = 1.5 and 2 = 2.0. Does this indicate a difference (either way) regarding preference for camping versus preference for fishing as an outdoor activity? Use a 5% level of significance. Note: A Likert scale usually has to do with approval of or agreement with a statement in a questionnaire. For example, respondents are asked to indicate whether they "strongly agree," "agree," "disagree," or "strongly disagree" with the statement. (a) What is the level of significance? State the null and alternate hypotheses. OHoil = Hzi H1: H1 # 12 OHO: H 1 = #2i H 1: H 1 > H2 OHO: M 1 # H2; H 1: H1 = H2 OHO: H1 = H2i H1: H1 = H2 (b) What sampling distribution will you use? What assumptions are you making? O The Student's t. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with known standard deviations. O The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference #1 - (2. Round your answer to two decimal places.) (c) Find (or estimate) the P-value. (Round your answer to four decimal places.)11. [0.36/1 Points] DETAILS PREVIOUS ANSWERS BBUNDERSTAT12 8.5.019.MI.S. MY NOTES ASK YOUR TEACHER PRACTICE ANOTHER A random sample of n, = 10 regions in New England gave the following violent crime rates (per million population). x,: New England Crime Rate 3.5 3.7 4.0 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n, = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x,: Rocky Mountain Crime Rate 3.7 4.1 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 LOL USE SALT Assume that the crime rate distribution is approximately normal in both regions. (a) Use a calculator to calculate x] . 5,. X2. and $2. (Round your answers to four decimal places.) * , (b) Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use a = 0.01. (i) What is the level of significance? State the null and alternate hypotheses. OHOH, = Hi Hi k, H2 (ii) What sampling distribution will you use? What assumptions are you making? O The standard normal. We assume that both population distributions are approximately normal with known standard deviations. The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations. The Student's t. We assume that both population distributions are approximately normal with known standard deviations. The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations. What is the value of the sample test statistic? (Test the difference #1 - #2. Round your answer to three decimal places.)