is this happening in New York City- aka "the city that never sleeps"? sen at random found that the sample mean was 6.73 hours and the as 0.79 hours. nt evidence that NYC adults, on average, sleep less than 7 hours per ficant" ?
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- When dragons on the fictional planet Pern lay eggs, the eggs are either green or yellow. The biologists have observed over the years that 32% of the eggs are yellow, and the rest green. Next spring the lead scientist has permission to randomly select 48 of the dragon eggs to incubate. Consider all the possible samples of 48 dragon eggs. Round answers to 4 decimal places. a) Compute the mean number of yellow eggs in samples of 48 eggs? (that is the same as asking for the expected value of the number of yellow eggs)mean = b) Compute the standard deviation in the number of yellow eggs in samples of size 48?standard deviation = c) Compute the variance in the number of yellow eggs in samples of size 48?variance =3. Dentists make many people nervous. To assess any effect of such nervousness on blood pressure, the systolic blood pressure of 60 subjects was measured both in a dental setting and in a medical setting (The Effect of the Dental Setting on Blood Pressure Measurement," Amer. J. of Public Health, 1983:1210- 1214). For each subject, the difference between dental setting pressure and medical setting pressure was computed; the resulting sample mean difference and sample standard deviation of the differences were 4.47 and 8.77 mmHg, respectively. o (a) Estimate the true mean difference between blood pressures for these two settings using a 99% confidence level. o (b) Does it appear that the true mean pressure is different in a dental setting than in a medical setting? Explain your reasoning.Suppose that the average number of miles that a car is driven in the first three years is 41,500. To determine whether leased cars are driven more than “average”, 25 leased cars were sampled and the average Number of miles on the leased cars was 43,780 with a standard deviation of 10,520. To determine whether the average number of miles on leased cars is statistically significantly greater than the number of miles on other cars, what is the null and alternative hypothesis?
- 7.88 Aluminum cans contaminated by fire. A gigantic NW warehouse located in Tampa, Florida, stores approxi- mately 60 million empty aluminum beer and soda cans. Recently, a fire occurred at the warehouse. The smoke from the fire contaminated many of the cans with black- spot, rendering them unusable. A University of South Florida statistician was hired by the insurance com- pany to estimate p, the true proportion of cans in the warehouse that were contaminated by the fire. How many aluminum cans should be randomly sampled to estimate the true proportion to within .02 with 90% confidence?The average amount of time it takes for couples to further communicate with each other after their first date has ended is 2.35 days. Is this average different for blind dates? A researcher interviewed 70 couples who had recently been on blind dates and found that they averaged 2.5 days to communicate with each other after the date was over. Their standard devlation was 0.655 days. What can be concluded at the the a = 0.10 level of significance? a. For this study, we should use Select an answer b. The null and alternative hypotheses would be: Ho: ?v Select an answerv H: ?vSelect an answerv c. The test statistic ?v (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ?v a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that ... O The data suggest that the population mean is not significantly different from 2.35 at a = 0.10, so there is statistically…The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 5% level of significance. Give answer to at least 4 decimal places. Hours 46 49 58 55 49 68 45 48 46 45 51 50 What are the correct hypotheses? H0: hoursH1: hours Based on the hypotheses, find the following:Test Statistic=p-value= The correct decision is to . The correct summary would be: that the mean number of hours of all employees at start-up companies work more than the US mean of 47 hours.
- Twenty different statistic students are randomly selected. For each of them,their body temperature (° F) is measured and their head circumference (in) ismeasured. Without doing any research or calculations, estimate the value of r. Forthis sample of paired data, what does r represent?A national nursing organization is lobbying congress for sunding to hire more nurses nationwide. One of the arguments is that nurses, on average, work significantly longer than full time duty, assuming full time is 40 hours a week. A sample of n=9 nurses had the following work hours last week: 43, 45,48,41,45,50,50,53,48 Calculate the mean length of work hours for the sample.We learned in Exercise 4.18 that about 90% of American adults had chickenpox before adulthood. We now consider a random sample of 120 Americans. a) how many people in this sample would you expect to have had chickenpox in their childhood? And with what standard deviation? b) Would you be surprised if there were 105 people who have had chickenpox in their childhood?
- One cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 35 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 35 minutes for the cable technician to arrive. The customer asks a simple random sample of 4 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 39.l minutes with a standard deviation of 2.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.10 level of significance. Step 3 of 3: Draw a conclusion and interpret the decision.The work week for adults in the US that work full time is normally distributed with a mean of 47 hours. A newly hired engineer at a start-up company believes that employees at start-up companies work more on average then most working adults in the US. She asks 12 engineering friends at start-ups for the lengths in hours of their work week. Their responses are shown in the table below. Test the claim using a 1% level of significance. Give answer to at least 4 decimal places. Hours 45 50 60 50 48 61 54 49 50 48 55 50 (a) Determine the null and alternative hypotheses? Họ: Select an answer v hours H1: Select an answer hours (b) Determine the test statistic ? (c) Determine the p-value. p-value = (d) Make a decision. O Accept the alternative hypotheis Accept the null hypothesis Do not reject the null hypothesis O Reject the null hypothesisOne cable company claims that it has excellent customer service. In fact, the company advertises that a technician will arrive within 45 minutes after a service call is placed. One frustrated customer believes this is not accurate, claiming that it takes over 45 minutes for the cable technician to arrive. The customer asks a simple random sample of 25 other cable customers how long it has taken for the cable technician to arrive when they have called for one. The sample mean for this group is 47.9 minutes with a standard deviation of 7.6 minutes. Assume that the population distribution is approximately normal. Test the customer's claim at the 0.01 level of significance. Step 1 of 3: State the null and alternative hypotheses for the test. Fill in the blank below. Ho : μ = 45 Ha:μ 45