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- Let X be normally distributed with mean 8 and variance 16. Find P(X>20). Select one: 0.773373 0.998650 0.0135 0.00135 0.226627Suppose that the weights of airline passenger bags are normally distributed with a mean of 49.53 pounds and a standard deviation of 3.16 pounds.a) What is the probability that the weight of a bag will be greater than the maximum allowable weight of 50 pounds? Give your answer to four decimal places. b) Let X represent the weight of a randomly selected bag. For what value of c is P(E(X) - c < X < E(X) + c)=0.96? Give your answer to four decimal places. c) Assume the weights of individual bags are independent. What is the expected number of bags out of a sample of 17 that weigh greater than 50 lbs? Give your answer to four decimal places. d) Assuming the weights of individual bags are independent, what is the probability that 8 or fewer bags weigh greater than 50 pounds in a sample of size 17? Give your answer to four decimal placesQ.4-56
- A carpet company advertises that it will deliver your carpet within 16 days of purchase. A sample of 49 past customers is taken. The average delivery time in the sample was 17.1 days. The standard deviation of the population (?) is known to be 5.6 days. (a) State the null and alternative hypotheses (in days) for a test to determine if their advertisement is legitimate. (Enter != for ≠ as needed.) H0: Ha: (b) Using the critical value approach, test the hypotheses. Let ? = 0.05. Compute the test statistic. (Round your answer to two decimal places.) Determine the critical value(s) for this test. (Round your answer(s) to two decimal places. If the test is one-tailed, enter NONE for the unused tail.) test statistic≤test statistic≥ State your conclusion. Reject H0. There is sufficient evidence to conclude that their advertisement is not legitimate.Do not reject H0. There is insufficient evidence to conclude that their advertisement is not legitimate. Do not…Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 400, what is the standard deviation of that sample?Let u = 19. A sample of 13 provided a sample mean xbar= 25 and a sample standard deviation s = 6. Find P (xbar > 25). a. 0.0005 < P (xbar > 25) < 0.001 b. 0.001 < P (xbar > 25). < 0.0025 c. 0.0025 < P (xbar > 25). < 0.01 d. P (xbar > 25) < 0.005
- 4. The annual precipitation X in a city is modeled by a normal distribution with a mean value of ux = 125 cm and a coefficient of variation of 8g = 0.2. Determine the following: а) Р(100 стQ2: B. Given a normally distributed variable X with mean 4 and standard deviation 2, find: (a) P(X5). (d) P(1.8The profits of a mobile company are normally distributed with Mean of R.O (180) and standard deviation of R.O (0.9). a. Find the probability that a randomly selected mobile has a profit greaterthan R.O (190). b. Any mobile phone which profit is greater than R.O ((190) is defined as expensive. Find the probability that a randomly selected mobile has aprofit greaterthan R.O (1200) given that it is expensive. c. Half of expensivemobile phones have aprofit greaterthan R.O h. Find the value of h.The test scores on a placement exam are normally distributed random variables with a mean of 104 and standard deviation of 12. 12) Find the probability that a selected test score is less than 117 [[0.8599]] 13) Find the probability that a selected test score is between 92 and 122 [[0.7745]] 14) Find the placement test score that has 75% of the other scores below it. [[104 + 0.67(12) = 112.04]]The population of college students using “normal shoes” is able to complete a particular racecourse in an average of 250 seconds. The standard deviation for this population is 20 seconds and the population is normally distributed. A random sample of 28 college students is given a special pair of new shoes and asked to run the course. The average “race time” for this group is 243 seconds. assume now that the designer of the shoes states that his shoes should improve the times of the user (less time to finish the race). State the hypotheses involved. determine if the hypothesis test is one tailed or two tailed Give the Z scores associated with cut-off points for .01, .05, and .10 (1%, 5%, and 10% respectively). Calculate the Z score for this problem. Based on a cut-off point or alpha level of .05 (5%), what decision would you make about your hypotheses? Explain this decision. Make conclusions regarding the specifics of this study.Suppose that X~N(5000,400). You're considering taking a simple random sample and calculating the average of your sample. The Central Limit Theorem tells us that the distribution of all possible sample averages is Normally distributed with a mean of 5000. If you took a sample of size n = 100, what is the standard deviation of that sample?SEE MORE QUESTIONSRecommended textbooks for youA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSONA First Course in Probability (10th Edition)ProbabilityISBN:9780134753119Author:Sheldon RossPublisher:PEARSON