A random sample of size2 was taken from the data set: \(45, 40, 55, 62, 39/), what is the mean of the sampling distribution of the sample mean? а. 48 O b. 48.2 О С. 45 O d. 40.2
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- Suppose that the time in minutes it takes a student to complete an assignment is normally distributed with a mean 50 and variance 100 then the 35th percentile of the average time it takes a random sample of 49 students to complete the assignment is closest to a. 49. b. 46. OC. 51. O d. 44. Ое. 54.Cranberry syrup is packaged using two production lines. A sample of 5 packs from the first line has a mean of 1.2 quarts with a standard deviation of O.02 quarts. A sample of 6 packs from the second line has a mean of 1.15 quarts with a standard deviation of 0.01 quarts. What is the value of the test statistic? * О 4 0.05 O 2 0.01Supposed that 35% of students car sing their normal anthem correctly. The music teacher takes an SRS of 30 students from the population of 750 students at the school and finds that 40% of the students sampled can sing their national anthem correctly. The teacher plans to take more sample like this. Let p represent the proportion of a sample of 30 students in the school who can sing their national anthem correctly. What are the mean and standard deviation of sampling distribution of p?
- In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 55.5 inches, and standard deviation of 7.5 inches.What is the probability that the height of a randomly chosen child is between 51.55 and 71.35 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)A sample of 5 boxes was selected from a process each day for 10 days. The weight of each box (in ounces), along with the sample range and mean are shown below: Process Data Day Воx1 Воx2 Вох3 Box4 Воx5 1 34 31 30 31 30 27 34 29 33 29 34 33 32 27 34 4 31 34 32 33 32 28 27 29 28 30 32 31 29 31 30 31 28 34 33 30 8. 27 28 30 32 29 27 28 29 27 27 10 30 32 34 33 28 Download CSV Determine the control limits for the R-chart accurate to 2 decimal places. Table of Control Chart Constants a) Centreline b) LCL UCL = c) Based on these results, is the process variation in control? O No. There is at least one point beyond the control limits. O Yes. There is no point beyond the control limits. O Yes, There is a point beyond the control limits. ONo. There is no point beyond the control limits.In a particular examination, the mean score is 82 and the standard deviation is 3.7. If the teacher decided to pass those students with Z-score of -1.45, what score (to the nearest whole number) should a student get in order to pass the exam? Select the correct response: at least 77 at least 78 O at least 76 at least 75
- In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 56.2 inches, and standard deviation of 8.3 inches.What is the probability that the height of a randomly chosen child is between 65.95 and 75.15 inches? Do not round until you get your your final answer, and then round to 3 decimal places.Answer= (Round your answer to 3 decimal places.)A survey of 10 households was done to find out how many pets the own. This data is listed in the table below. 4 3 1 1 1 To find the standard deviation of a sample, we divide by n - 1. What does n represent? O n represents the number of data values in the sample. O n represents the mode. O n represents the mean. O n represents my favorite number. « Previous Next No new data to save. Last checked at 9:15pm Submit 99+ 近CNNBC recently reported that the mean annual cost of auto insurance is 1026 dollars. Assume the standard deviation is 298 dollars, and the cost is normally distributed. You take a simple random sample of 38 auto insurance policies. Round your answers to 4 decimal places. a. What is the distribution of X? XN( 1026 b. What is the distribution of ? ~ N( 1026 c. What is the probability that one randomly selected auto insurance is less than $1010? 298 or or d. a simple random sample of 38 auto insurance policies, find the probability that the average cost is less than $1010. e. For part d), the assumption of normal necessary? Yes No o
- In the country of United States of Heightlandia, the height measurements of ten-year-old children are approximately normally distributed with a mean of 53.1 inches, and standard deviation of 1.1 inches. What is the probability that the height of a randomly chosen child is between 52.95 and 54.85 inches? Do not round until you get your your final answer, and then round to 3 decimal places. Answer= (Round your answer to 3 decimal places.)The weights of all the turkeys sold in Fairfax County in 2020 were recorded in the data set “Fairfax Turkey Weights” found in the histogram. The weights are presented in pounds. There are 235,428 turkeys in this population. Calculate the probability that, in a random sample of eight turkeys, the mean weight is between 17 and 20 pounds. First, draw a picture with the rounded mean and values labeled and the shaded area representing the desired probability. Next, take a picture of your hand drawn sketch and upload it (if you do not have this technology, you may use any other method (i.e. Microsoft paint) to sketch the image). Then, complete this part by standardizing and using the Standard Normal Table to obtain this probability. Show your work “by hand”.It is desired to estimate the mean number of chocolate chips per cookie for a large national brand. How many cookies would have to be sampled to estimate the true mean number of chips per cookie within 2 chips with 98% confidence? Assume that o = 10.1 chips. Оп 3D 12 n = 239 O n = 139 n = 66