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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.Question 1The following table shows the number of shirts by sizes that are manufactured in a factory on aparticular week:Extra Small Small Medium Large Extra Large 390 470 520 680 440a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts producedrather than examine the entire weekly production.(ii) State two differences between a cluster sample and a stratified random sample in thissituation. (iii) Using the stratified random sampling technique, calculate the number of medium shirtsthat will be selected if we require a sample of 375 shirts.Question 12** The following table lists the approximate number of adults (18+) who are obese (BMI ≥ 25) in North America in 2014 by country and gender. Female Obese Male Obese Female Not Obese Male Not Obese Canada 11 M 12 M 7 M 6 M Mexico 40 M 37 M 21 M 22 M U.S.A. 101 M 113 M 61 M 44 M (adapted from http://apps.who.int/gho/data/node.main.A897A?lang=en) Based on this data, what is the probability that a randomly selected male in North America will be obese? Answer in decimal form. Round to 3 decimal places as needed. Your Answer:
- Question 1 The following table shows the number of shirts by sizes that are manufactured in a factory on a particular week: The information is as follows: Extra Small Small Medium Large Extra Large 390 470 520 680 440 a) It was discovered that the sizing of some shirts was labelled incorrectly.(i) Give two reasons why it would be necessary to examine a sample of the shirts produced rather than examine the entire weekly production. (ii) State two differences between a cluster sample and a stratified random sample in this situation. (iii) Using the stratified random sampling technique, calculate the number of medium shirts that will be selected if we require a sample of 375 shirts.Question 18 According to a University Center for Logistics Management, 8% of all merchandise sold in the United States gets returned. A Seattle department store sampled 90 items sold in January and found that 10 of the items were returned.If you have the following null and alternative hypotheses for a test you are running:H0:p=0.08Ha:p>0.08Calculate the test statistic, rounded to 3 decimal places Z=Question 6 A researcher wishes to test the claim that on average more juvenile than adults are classified as missing persons. Records of the last five years are shown. At α = 0.05 is there sufficient evidence to support the claim? Juveniles: 65,513 65,934 64,213 61,954 59,167 Adults: 31, 364 34,478 36,937 35,946 38,209 a. Formally state (write in symbols) the hypotheses b. Is this a univariate or a bivariate analysis? Can you state it in terms of dependent and independent variables? Using the Computer printout below answer the following question: c. What is standard error of the difference under the assumption of variance equality? __________ ___________ d. What is the value of the t statistic under the assumption of equality of variances. e. What is the value of difference between the means under the assumption of equality of…
- QUESTION 11 An educator estimates that the dropout rate for seniors at high schools in Colorado is 15%. Last year in a random sample of 300 Colorado seniors, 34 withdrew from school. At α = 0.10 level of significance, is there enough evidence to reject the educator’s claim? Yes, because the p-value is 0.075 Yes, because the z-statistic is 1.6 No, because the p-value is 0.038 Yes, because the p-value is larger than 0.15QUESTION 12 An educator estimates that the dropout rate for seniors at high schools in Colorado is 15%. Last year in a random sample of 300 Colorado seniors, 34 withdrew from school. At α = 0.05 level of significance, is there enough evidence to reject the educator’s claim? Yes, because the p-value is 0.075 No, because the p-value is 0.075 Yes, because the p-value is 0.038 Yes, because the p-value is greater than 0.15Question 16 Match the p-values with the appropriate conclusion: I. 0.00001 II. 0.0297 III. 0.0721 IV. 0.4490(a) The evidence against the null hypothesis is significant, but only at the 10% level. (b) The evidence against the null and in favor of the alternative is very strong. (c) There is not enough evidence to reject the null hypothesis, even at the 10% level. (d) The result is significant at a 5% level but not at a 1% level.
- Question #11 A tamoxifen study claims that a combination of chemotherapy and the hormone therapy tamoxifen is more effective than tamoxifen alone in preventing breast cancer. In the study, a group of researchers from the U.S. and Canada studied 1477 postmenopausal women with early-stage breast cancer. The women were randomly assigned to one of three study groups. The first group of 361 received tamoxifen alone on a daily basis for five years. The second group of 566 received chemotherapy and tamoxifen for six months, and then completed five years of tamoxifen treatment. And the third group of 550 received chemotherapy alone for six months followed by five years of tamoxifen treatment. All 1477 patients knew which treatment they were receiving.In this study, which is the control group? the third group of 550 that received chemotherapy alone for 6 months and then tamoxifen for 5 years the second group of 566 that received tamoxifen and chemotherapy concurrently for 6 months the first…QUESTION 8 Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. According to U.S. National Park Service statistics, 46.7% of visitors to Rocky Mountain National Park in 2018 entered through the Beaver Meadows park entrance, 24.3% of visitors entered through the Fall River park entrance, 6.3% of visitors entered through the Grand Lake park entrance, and 22.7% of visitors had no recorded point of entry to the park.† Consider a random sample of 175 Rocky Mountain National Park visitors. Use the normal approximation of the binomial distribution to answer the following questions. (Round your answers to four decimal places.) (a) What is the probability that at least 85 visitors had a recorded entry through the Beaver Meadows park entrance? (b) What is the probability that at least 80 but less than 90 visitors had a recorded entry through the Beaver Meadows park entrance? (c) What is the probability that fewer than 12 visitors had a…Question 3: According to the journal Chemical Engineering, an important property of a fiber is its water absorbency. A random sample of 20 pieces of cotton fiber is taken and the absorbency on each piece was measured. The following are the absorbency values:18.71 21.41 20.72 21.81 19.29 22.43 20.17 23.71 19.44 20.50 18.92 20.33 23.00 22.85 19.25 21.77 22.11 19.77 18.04 21.12 17.89 19.63 22.85 20.49(a) Calculate the sample mean and median for the above sample values.