Lower boundaries (LB) 45.5 40.5 35.5 30.5 25.5 20.5 15.5 Number of Frequency (f) minutes 46-50 4 41-45 9 36-40 14 31-35 10 26-30 8 21-25 3 16-20 2 i = 5 N=50 16. What is the kth class of D8? A. 37 B. 38 C. 39 17. Find the class interval for P65. A. 26-30 B. 31-35 C. 36-40 18. How many students belong to the upper quartile? A. at most 13 B. at most 10 C. at most 9 19. Find P70. A. 35.79 B. 36.79 C. 38.79 20. Find the percentile rank of 36. A. 46% B. 48% C. 50% Less than cumulative frequency (< cf) 50 46 37 23 13 5 2 D. 40 D. 41-45 D. at most 4 D. 39.79 D. 52%
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- A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of time they last is approximately normal. Researchers in a hospital used the drug on a random sample of 9 patients. The effective period of the tranquilizer for each patient (in hours) was as follows: 2.6; 2.9; 3.1; 2.3; 2.3; 2.2; 2.8; 2.1; and 2.4. state and sketch the graph for the 95% conficence interval calculate error boundA manufacturer wants to increase the shelf life of a line of cake mixes. Past records indicate that the average shelf life of the mix is 231 days. After a revised mix has been developed, a sample of nine boxes of cake mix gave these shelf lives (in days): 230,233, 235, 236, 233, 240, 240, 241, and 237. Using α = 0.025, has the shelf life of the cake mix increased? Multiple Choice Yes, because computed t is greater than the critical value. Yes, because computed t is less than the critical value. No, because computed t lies in the region of acceptance. No, because 236.11 is quite close to 231.A pharmcuticle company claims that its new drug reduces systolic blood pressure. The systolic blood pressure (in millimeters of Mercury) for 9 patients before taking the new drug and 2 hours after taking the drug are shown in the table below. is there enough evidence support the company's claim? Let D =(blood pressure before taking new drug)- (blood pressure after taking new drug).use significant levels of a=their 0.05 for the test. Assume that the systolic blood pressure levels are normally distributed for the population of patience both Before & After taking the new drug. 1.State the null and alternative hypothesis for the test. 2. Find the value of the standard deviation of the paired differences. Round to one decimal place. 3.compute the value of the test statistic. Round to three decimal places 4.determine the decision rule for rejecting the null hypothesis Ho. Round the numerical portion to three decimals. 5.make decision for the hypothesis test.
- An industrial product is packaged in batches of units each. The number ofdefective units within each batch is unknown. Since checking whether aunit is defective or not is expensive, the quality control consists in selectingunits of the batch and obtaining an estimation of the number of defectiveunits within the batch. The batch is rejected if the estimated number ofdefective units exceeds . a. Find the moment estimator of the number of defective units within aparcel.b. If N=20, n=5, and among these units 2 of them are defective, is thebatch rejected?Let X = Red blood cell count in millions per cubic millimeter of whole blood for healthy females ex has been approximately normal distribution which means U = 5.1 and standard deviation O = 0.6 (a) Convert the x interval, 4.5 < x, to a z interval. (Round your answer to two decimal places.) (b) Convert the x interval, x < 4.2, to a z interval. (Round your answer to two decimal places.) (c) Convert the x interval, 4.0 < x < 5.5, to a z interval. (Round your answers to two decimal places.) (d) Convert the z interval, z < -1.44, to an x interval. (Round your answer to one decimal place.) (e) Convert the z interval, 1.28 < z, to an x interval. (Round your answer to one decimal place.) (f) Convert the z interval, -2.25 < z < -1.00, to an x interval. (Round your answers to one decimal place)a series of 20 samples of size 4 has been drawn from a project. the measure of interest has an average of 21.54 and the average range within the sample is 2.57 determine the control chart upper limit for R
- An machine with constant failure rate 0.002 per hours is operated 8 hours per day, 230 days per year. The mean downtime required to repair the machine and bring it back into operation is MDT = 5 hours. The machine can only fail during active operation. If a repair action cannot be completed within normal working hours, overtime will be used to complete the repair such that the machine is available next morning. (a) Determine the average availability of the machine (during the planned working hours). (b) Determine the average availability of the machine if the use of overtime were not allowed.A taxi company manager is trying to decide whether the use of radial tires instead of regular belted tires improves fuel economy. Twelve cars were equipped with radial tires and driven over a prescribed test course. Without changing drivers, the same cars were then equipped with regular belted tires and driven once again over the test course. The gasoline consumption, in kilometers per liter, was recorded as follows: (image attached) Can we conclude that cars equipped with radial tires give better fuel economy than those equipped with belted tires? Assume the populations to be normally distributed. Use both p-value and critical value approach.The following numbers are the number found at the left side and upper part of the table. Identify the number that lies on the intersection between the given set of numbers. Use the Table of the Area Under Normal Curve indicated at the last page of this module 1. -1.6 and 0.09 = ________ 2. 1.0 and 0.07 = _________ 3. 1.1 and 0.06 = _________ 4. 0.5 and 0.08 = _________ 5. 1.0 and 0.00 = _________
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