Suppose you are interested in measuring the amount of time on average it takes you to makeyour commute to school. You have estimated that the average time is 38.4 minutes with a standard deviation of 5.362 minutes. Over 12 random days, you measure your commute time. Assuming that your estimated parameters are correct and is normally distributed. Answer the following questions:  (a) What is the distribution of the sample mean X¯? (b) What is the mean and standard deviation of the sample mean X¯? (c) What is the probability that the sample mean for sample size 12 will be greater than 36.19 minutes?

Q: Suppose that you are interested in determining the average height of a person in a large city. You…

A: Solution: Given information: n= 400 Sample size  x=63 inches Sample mean s= 6 inches Sample standard…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: Here, µ=261 and σ = 17.

Q: The Survey of Study Habits and Attitudes (SSHA) is a psychological test that measures students'…

A: It is needed to state the hypotheses.

Q: can you find the mean and standard deviation?

A: Let the male data set is denoted by x, then the mean is given by the formula x¯=∑xxn. Where, the…

Q: A population has a mean µ = 84 and a standard deviation o = 29. Find the mean and standard deviation…

A: Suppose the variable of interest is x. It is given that; x has mean µx = 84 and the standard…

Q: Assume thAt scores on a standardized test are known to follow a bell shaped distribution with a mean…

A: L

Q: Sample A: Sample B: Sample C: 5, 11, 17 76, 82, 88 1,075; 1,081; 1,087 (a) Find the mean and…

A: Given three sample data as follows: Sample A: 5, 11 and 17 Sample B: 76, 82 and 88 Sample C: 1075,…

Q: Q4/ Calculate the Quartile Deviation (Q.D) and coefficient of Q.D. for the data: Class 10-20 20-30…

A: The provided data is: Class interval Frequency Cumulative frequency(cf) 10-20 5 5 20-30 8…

Q: According to data from the 2010 United States Census, 71.6% of the total United States population…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: Let X denote the length of pregnancies in a small rural village. According to the given information.…

Q: Tim is a researcher who is dealing with a SAMPLE of scores.  The SAMPLE of scores is: 14, 16, 18,…

A: Given observation SAMPLE of scores is: 14, 16, 18, 13, 13, 19, 21, 11 n = 8

Q: The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million…

A: We have given that  Sample sizes n1= 40 , n2= 35  Sample means xbar1= 3.2 , xbar2=1.9  Standard…

Q: Renee scores an average of 153 points in a game of bowling, and her points in a game of bowling are…

A:

Q: A parenting magazine reports that the average amount of wireless data used by teenagers each month…

A: State the null and alternative hypotheses for the test. Fill in the blank below. H0: μ=6:…

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Consider a random variable X that denotes the test scores. Therefore , X~Nμ=1527,σ=315

Q: Assume that adults have IQ scores that are normally distributed with a mean of 100.5 and a standard…

A: Solution: Let X be the adults IQ score has normally distributed with mean μ=100.5 and standard…

Q: Why do we take the square root of the variance to obtain the standard deviation? to make the…

A: We know that, Standard deviation: It is the positive square root of the arithmetic mean(A.M.)  of…

Q: The Maxwell Steel Company in Philadelphia produces steel rods. The lengths of the steel rods are…

A:

Q: A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Q: What proportion of the students scored lower than 80 if the distribution of these grades can be…

A:

Q: The amount of bleach a machine pours into bottles has a mean of 36oz. with a standard deviation of…

A: The objective of the question is to find the mean of the sampling distribution of the sample mean.…

Q: the​ range, variance, and standard deviation for the given sample data. Include appropriate units in…

A:

Q: Jolyn scores an average of 28 points per basketball game, and her points per basketball game are…

A: It is given that mean is 28, z-score is 4 and x = 52.

Q: Physics students at a local university have designed a "hot dog gun" designed to shoot hot dogs into…

A: Let X: the distance it will shoot hot dogs. X is normally distributed.i.e. X~N(μ,σ2)where,…

Q: The cost of textbooks is normally distributed with a mean of $232. You do not know the population…

A:

Q: The salaries of professional baseball players are heavily skewed right with a mean of $3.2 million…

A: The sample standard deviations are s1=2 and s2=1.5.

Q: Scores on the verbal ability portion of the Graduate Record Examination (GRE) follow a normal…

A: Let X be the verbal ability portion of the Graduate Record Examination (GRE) follow a normal…

Q: For a standardized exam at your school, the mean score is 103 with a standard deviation of 16. You…

A: Population mean Hypothesized value of population standard deviation Sample size Sample mean Sample…

Q: Suppose you were to take samples of size 100 from a population with a mean of 12 and a standard…

A: The formula of the standard error of the mean is,

Q: A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was…

A: From the given information, the standardized exam’s scores are normally distributed with mean is…

Q: Suppose that a sample is taken with an average of 110 and a standard deviation of 15. Calculate the…

A: The relative frequency is found by taking the ratio of frequency to the total frequency. So the…

Q: Tim is a researcher who is dealing with a SAMPLE of scores.  The SAMPLE of scores is: 15, 17, 19,…

A: Given data is 15, 17, 19, 22, 10, 23, 16, 15S.S=122.88

Q: The thickness of a certain grade of hardboard stocked by a DIY shop is normally distributed with a…

A: Given that  Let Xi be the thickness of a certain grade of hardboard stocked by a DIY shop is…

Q: As part of your work for an environmental group, you want to see if the mean amount of waste…

A: Given Information: Hypothesized mean = 5 pounds Sample size = 27 Sample mean = 4.4 pounds Sample…

Q: In a large section of a statistics​ class, the points for the final exam are normally​ distributed,…

A: Finding the lowest score that would qualify a student for an A grade:The points for the final exam…

Q: You are told that the distribution of television weights is normal, with a mean, u of 12.6 kilograms…

A: Given,sample size(n)=8mean(μ)=12.6standard deviation(σ)=2.9

Q: At one college, GPA's have a roughly bell-shaped distribution with a mean of 3.1 and a standard…

A: Given: Let x be the GPA of students have bell shaped distribution with mean 3.1 and standard…

Q: The distribution of the number of transactions per day at a certain automated teller machine (ATM )…

A: Mean(µ) = 80Standard deviations (σ) = 10X ~ N (µ, σ )= N(80,10)

Q: The distribution will be approximately a normal curve with mean_____and standard deviation_____ .

A: It is given that Mean = 104 And SD = 18 Sample size n = 100

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Given Information Mean µ = 260 Standard deviation(σ) = 14

Q: Draw the normal curve. Suppose that the amount of time it takes the Bureau of Internal Revenue…

A: Solution-: Given: μ=14,σ=1.5 We want to find x such that, P[X<x]=0.45

Q: Almost all medical schools require applicants to take the Medical College Admission Test (MCAT).  To…

A: It is given that the mean is 25 and the standard deviation is 6.5.

Q: Suppose that you expect college freshmen who live on campus will do better academically than those…

A: Given that  Sample Mean 1 (\bar X_1)(Xˉ1​) = 2.8932.893 Population Standard Deviation…