1. Outcomes from earlier research confirmed 79% of all highschool seniors from a sure metropolis plan to attend school after commencement. A random pattern of 200 highschool seniors from this metropolis reveals that 162 plan to attend school. Does this point out that the share has elevated from that of earlier research? Take a look at on the 5% degree of significance.State the null and various hypotheses.A.H0: p ? .79, H1: p > .79 B.H0: p = .79, H1: p ? .79 C.H0: = .79, H1: > .79 D.H0: ? = .79, H1: ? > .79 2. A lab technician is examined for her consistency by taking a number of measurements of levels of cholesterol from the identical blood pattern. The goal accuracy is a variance in measurements of 1.2 or much less. If the lab technician takes 16 measurements and the variance of the measurements within the pattern is 2.2, does this present sufficient proof to reject the declare that the lab technicianâs accuracy is throughout the goal accuracy?Compute the worth of the suitable check statistic.A. = 27.50 B.z = 1.65 C.t = 27.50 D. = 30.58 three. A lab technician is examined for her consistency by taking a number of measurements of levels of cholesterol from the identical blood pattern. The goal accuracy is a variance in measurements of 1.2 or much less. If the lab technician takes 16 measurements and the variance of the measurements within the pattern is 2.2, does this present sufficient proof to reject the declare that the lab technicianâs accuracy is throughout the goal accuracy?State the null and various hypotheses.A.H0: ?2 ? 1.2, H1: ?2 = 1.2 B.H0: ?2 < 1.2, H1: ?2 ? 1.2 C.H0: ?2 ? 1.2, H1: ?2 > 1.2 D.H0: ?2 ? 1.2, H1: ?2 ? 1.2 four. Outcomes from earlier research confirmed 79% of all highschool seniors from a sure metropolis plan to attend school after commencement. A random pattern of 200 highschool seniors from this metropolis reveals that 162 plan to attend school. Does this point out that the share has elevated from that of earlier research? Take a look at on the 5% degree of significance.What’s the p-value related together with your check of speculation?A.zero.2437 B.zero.6874 C.zero.7563 D.zero.4874 5.The CEO of a software program firm is dedicated to increasing the proportion of extremely certified ladies within the organizationâs workers of salespersons. He believes that the proportion of ladies in comparable gross sales positions throughout the nation is lower than 45%. Hoping to search out assist for his perception, he directs you to testH0: p ? .45 vs H1: p < .45.In doing so, you collect a random sample of 50 salespersons employed by his company, which is thought to be representative of sales staffs of competing organizations in the industry. The collected random sample of size 50 showed that only 18 were women.Compute the test value that you would use in conducting this test. Place your answer, rounded to 3 decimal places, in the blank. For example, -2.345 would be a legitimate entry.5. The ABC battery company claims that their batteries last at least 100 hours, on average. Your experience with their batteries has been somewhat different, so you decide to conduct a test to see if the company's claim is true. You believe that the mean life is actually less than the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n = 20 batteries. Some of the information related to the hypothesis test is presented below.Test of H0: >= 100 versus H1: < 100Sample mean 98.5Std error of mean 0.777Assuming the life length of batteries is normally distributed, what is the p-value associated with this test? Place your answer, rounded to 3 decimal places in the blank. For example, 0.0234 would be a legitimate entry.6. A medical doctor wishes to test the claim that the standard deviation of the systolic blood pressure of deep sea divers is less than 450. To do so, she selected a random sample of 20 divers and found s = 432.Assuming that the systolic blood pressures of deep sea divers are normally distributed, if the doctor wanted to test her research hypothesis at the .01 level of significance, what is the critical value?Place your answer, rounded to 3 decimal places, in the blank. For example, 4.567 would be a legitimate entry.7. Suppose a firm that produces light bulbs wants to know whether it can say that its light bulbs typically last more than 1500 hours. Hoping to find support for their claim, the firm collects a random sample of n = 25 light bulbs and records the lifetime (in hours) of each bulb. The information related to the hypothesis test is presented below.Test of H0: ? 1500 versus H1: > 1500Pattern imply 1509.5Std error of imply four.854Assuming the life size of this kind of lightbulb is generally distributed, in the event you want to conduct this check utilizing a .05 degree of significance, what’s the essential worth that you must use? Place your reply, rounded to three decimal locations within the clean. For instance, 1.234 could be a official entry.
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