Q5. The mean and standard of the weights of identical concrete specimens are 150 and 45 lb respectively. In an unbiased sample of 50 specimens from this population, What is the probability that the mean weight of the sample exceeds 150 1b?
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- A simple random sample of 100 observations was taken from a large population. The sample mean and the variance was determined to be 80 and 144 respectively. The standard error of the sample mean is O A. 14.4 O B. 0.80 O C. 1.44 D. 1.20Given a normal population whose mean is 580 and whose standard deviation is 37, find each of the following: A. The probability that a random sample of 5 has a mean between 583 and 593.Probability = B. The probability that a random sample of 17 has a mean between 583 and 593.Probability = C. The probability that a random sample of 28 has a mean between 583 and 593.Probability =Suppose the mean weight of carryion bags has a normal distribution with a mean of 7.4 pounds, with a standard deviation 2.2 pounds. Find the probability that the mean weight of a sample of 25 bookbags will exceed 7 pounds. a. .182 b. .629 c. .572 d. None of the other 4 answers e. .818
- The scores on a standardized mathematics test for 8th-grade children in New York State form a normal distribution with a mean of m= 70 and a SD=10. a. What proportion of the students in the state have scores less than X=75? b. If samples of n=4 are selected from the population, what proportion of the samples will have means less than M=75? c. If samples of n=25 are selected from the population, what proportion of the samples will have means less than M=75?A. Solve the following. Show your complete solution. 1. Say that you will have to wait for a bus. Assume that the amount of waiting time is normally distributed between 0 and 15 minutes. Suppose that the mean time of a person is 8 minutes and the standard deviation is 1.8. What is the probability that you will wait for less than 12.5 minutes? 2. The length of time between charges of the battery of laptops is normally distributed with a mean of 45 hours and a standard deviation of 12 hours. Fiel owns one of these laptops and wants to know the probability that the length of time will be between 50 and 70 hours. 3. The length of life of an ordinary flashlight produced by a company has a normal distribution with a mean of 36 months and a standard deviation of 5 months. Find the probability that the flashlight produced by the company will last (a) more than 18 months, (b) between 17 and 32 months.A notable indicator of a baby's health is the weight gained in the first year of the baby's life. Assume that the population of all such weight gains for baby boys is approximately normally distributed. A study claimed that the mean of this population is 4.93 kg. As a practicing pediatrician, you want to test this claim. So, you select a random sample of 16 baby boys, and you record the weight each gained in their first year. Follow the steps below to construct a 99% confidence interval for the population mean of all the weight gains for baby boys in their first year. Then state whether the confidence interval you construct contradicts the study's claim. (If necessary, consult a list of formulas.) (a) Click on "Take Sample" to see the results for your random sample. Sample standard Number of baby boys Sample mean deviation Take Sample 16 5.496 1.873 Enter the values of the sample size, the point estimate of the mean, the sample standard deviation, and the critical value you need for…
- A population has a mean u = 90 and a standard deviation o = 30. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 231. H = (Simplify your answer.)A study was undertaken to determine whether there was a significant weight (in lb) loss after one year course of therapy for diabetes, and whether the amount of weight (in lb) loss was related to initial weight. The following table gives the initial weight (x) and weight after one year of therapy (y) for 16 newly diagnosed adult diabetic patients. a. Is a one-sided or two sided test needed here? b. What is the mean weight for each time period? c. What is the standard deviation for each time period? d. Which statistical test is appropriate to use on these data? e. Carry out the hypothesis test(s) in question in above d. Use α=0.01 f. Are the means statistically different? g. Find the 99% confidence interval for the difference of the two means on weight. Interpret your finding.A population has a mean p= 75 and a standard deviation o= 6. Find the mean and standard deviation of a sampling distribution of sample means with sample size n= 36. (Simplify your answer.)
- A study found that student weights averaged 87.3lb with a SD = 4lb. What is the 2-decimal % probability that an individual student will weight below 85 lb? What is the 2-decimal % probability that a group of 35 students will have a mean weight of over 88 lb?Cody took his first physics exam and scored an 80. The population mean for this exam is 70, and the standard deviation is 5. What is the probability of selecting a person with a score greater than Cody’s?3. A study of the amount of time it takes to rebuild the transmission for a 2005 Chevy Cavalier shows that the mean is 8.4 hours and the standard deviation is 1.8 hours. Find the probability that their mean rebuild time exceeds 8.7 hours
