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- Data Random number generator to generate 50 values between zero and one. 0.0829 0.1917 0.8315 0.4897 0.5853 0.1376 0.9130 0.0618 0.2030 0.4521 0.3671 0.1921 1.000 0.5895 0.5568 0.3556 0.1293 0.5557 0.2341 0.4925 0.1948 0.6502 0.4771 0.7551 0.5425 0.9948 0.9128 0.8358 0.6053 0.6806 0.4290 0.2006 0.5654 0.3456 0.6568 0.3163 0.9002 0.6010 0.5173 0.4209 0.2407 0.5987 0.8626 0.2776 0.0051 0.8137 0.8831 0.9749 0.1041 0.6744 Plot the Data Construct a box plot of the data. Be sure to use a ruler t scale accurately and draw straight edges. Do you notice any potential outliers? If so, which values are they? Either way, justify your answer numerically. (Recall that any DATA that are less than Q1 – 1.5(IQR) or more than Q3 + 1.5(IQR) are potential outliers. IQR means interquartile range.) Suppose that the number of values generated was 500, not 50. How would that affect…2. Ceramic items are “baked” in a gas-fired tubular-shaped oven is lots of 100 units. The items are linedup in a single row on a special high-temperature pallet, slid into the oven, the oven closed, and thetemperature increased manually according to time-temperature scale. After cooling, a sample of fiveunits is drawn from a lot and strength-tested by breaking them in a special testing device. To beeffective in use, breaking strength must exceed 5 psi. If any item breaks at less than 5 psi, the lot fromwhich it came is scrapped. About 10% of the lots have been scrapped in recent times.a. A decision is made to run a process capability study. Data on the next 20 lots are tested using thesame procedure, and a sample sized of 5, and X-bar and R charts are drawn. At this point, ΣX = 112.00psi and ΣR = 23.26 psi. Calculate control limits for X and R for this process and estimate σb. Assuming a normal distribution of product, what proportion would you estimate does not meetspecifications?c.…Degrees of Freedom 0.995 0.99 0.975 0.95 0.90 0.10 0.05 0.025 0.01 0.005 1 - - 0.001 0.004 0.016 2.706 3.841 5.024 6.635 7.879 2 0.010 0.020 0.051 0.103 0.211 4.605 5.991 7.378 9.210 10.597 3 0.072 0.115 0.216 0.352 0.584 6.251 7.815 9.348 11.345 12.838 4 0.207 0.297 0.484 0.711 1.064 7.779 9.488 11.143 13.277 14.860 5 0.412 0.554 0.831 1.145 1.610 9.236 11.071 12.833 15.086 16.750 6 0.676 0.872 1.237 1.635 2.204 10.645 12.592 14.449 16.812 18.548 7 0.989 1.239 1.690 2.167 2.833 12.017 14.067 16.013 18.475 20.278 8 1.344 1.646 2.180 2.733 3.490 13.362 15.507 17.535 20.090 21.955 9 1.735 2.088 2.700 3.325 4.168 14.684 16.919 19.023 21.666 23.589 10 2.156 2.558 3.247 3.940 4.865 15.987 18.307 20.483 23.209 25.188 Conduct the…
- Ninety percent of the people who have a particular disease will have a positive result on a given diagnostic test. Ninety percent of the people who do not have the disease will have a negative on this test. If 7 percent of a certain populaton has the disease, what percent of that population would test positive for the diesase?Number of Girls x P(x) 0 0.003 1 0.021 2 0.118 3 0.208 4 0.300 5 0.208 6 0.118 7 0.021 8 0.00310. Women in the Military This table lists thenumbers of officers and enlisted personnel for womenin the military. At a 0.05, is there sufficient evidenceto conclude that a relationship exists between rank andbranch of the Armed Forces? Officers EnlistedArmy 10,791 62,491Navy 7,816 42,750Marine Corps 932 9,525Air Force 11,819 54,344
- "Statistically Z-Test can be used if the sample is large ( n > 30 ) even population SD is not given". Justify this statement either by proving algebraically or computation.a) According to a survey year 2010 , 40% of all students in Riyad University get married during study . If two students are randomly selected from this University . Let X denote the number of students in the sample who are married . M : the student is Married N : the student is Not Married . ( more than one answer is correct ). b) It is known that 25 percent of new hiring employees change their jobs in the first year . Assuming that this claim is true, and Let X represents the number of employees who change his jobs in the first year . A random sample of 18 is selected .use Table of Binomial in “Statistical Tables” . Find the mean of X.A group of professors investigated first-year college students' knowledge of astronomy. One concept of interest was the Big Bang theory of the creation of the universe. In a sample of 146 freshmen students, 37 believed that the Big Bang theory accurately described the creation of planetary systems. Based on this information, is it correct at the α=0.01 level of significance to state that more than 20% of all freshmen college students believe the Big Bang theory describes the creation of planetary systems?
- 63836282637x83628363296/836384638363863+93733946384747/9x9374Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a given time period and found that 10% of all lenses had defects of some type. Looking at the type of defects, they found in a three-month time period that out of 34,024 defective lenses, 5840 were due to scratches. Are there more defects from scratches than from all other causes? State the Type I and Type II errors in this case.State the Type I error. Concluding that the proportion of defects from scratches is 10%, when in reality it is less than 10%. Concluding that the proportion of defects from scratches is 10%, when in reality it is higher than 10%. Concluding that the proportion of defects from scratches is less than 10%, when the proportion is actually 10%. Concluding that the proportion of defects from scratches is higher than 10%, when the proportion is actually 10%. State the Type II error. Concluding that the proportion of defects from scratches is…A city official claims that the proportion of all commuters who are in favor of an expanded public transportation system is 50%. A newspaper conducts a survey to determine whether this proportion is different from 50%. Out of 225 randomly chosen commuters, the survey finds that 99 of them reply yes when asked if they support an expanded public transportation system. Test the official’s claim at α= 0.05.