The highway fuel economy of a 2016 Lexus RX 350 FWD 6-cylinder 3,5-L automatic 5-speed using premium fuel is a normally distributed random variable with a mean of u = 19.75 mpg and a standard deviation of a = 1.75 mpg. (a) What is the standard error of X, the mean from a random sample of 25 fill-ups by one driver? (Round your answer to 4 decimal places.) Standard error of X (b) Within what interval would you expect the sample mean to fall, with 98 percent probability? (Round your answers to 4 decimal places.) The interval is from to

Q: A sample is collected from the items produced by a company. The sample size is 49. The standard…

A: Answer: From the given data, Population standard deviation (σ) = 0.32 Sample size (n) = 49

Q: Metabolic rate is the rate at which someone consumes energy. Data (calories per 24 hours) from 7…

A: n=7 Data: 1792,1666,1362,1614,1460,1867,1439

Q: Suppose that average male weight in the US is 175 pounds with a standard deviation of 25 pounds.…

A: It is given that population mean µ=175 pounds, population standard deviation σ=25 pounds. Sample…

Q: A certain type of thread is manufactured with a mean tensile strength of 78.3 kilograms and a…

A: Given that  Mean = 78.3 Standard deviation (SD) = 5.6

Q: An analysis of a data set (N = 16) has revealed that its standard deviation (SD) of 2. Then, what is…

A: GivenN=16standard deviation(SD)=2

Q: Why roles are reserved for the variance and particularly for its square root, the standard…

A: Variance and standard deviation: Variance measures absolute variability in a data set, calculated…

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

A: L

Q: daily consumption of coffee between males and females? A random sample of 40 males consumed an…

A: Given that  Sample sizes n1=40 , n2=50 Population variance ?12=1.2 ,  ?22=2

Q: Compute the standard score (Z-score) for x, when x = 40, the mean of the distribution = 50, and the…

A:

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: A track coach creates a new training program to improve his team’s performance in the 200m race. He…

A: State the hypotheses.

Q: Show that X is a sufficient estimator of the mean u of a normal population with the known variance…

A: X~N(μ,σ2)

Q: A sample of n = 9 scores has SS = 200. What is the variance for this sample?

A:

Q: A sample with a mean of M = 40 and a variance of s2 = 20 has an estimated standard error of 1 point.…

A: The provided data is, M = 40 s2 = 20 Standard error, SE = 1

Q: A standardized test is given to a sixth grade class. Historically the mean score has been 143 with a…

A: Suppose σ is the population standard deviation of the performance scores.

Q: The sum of the squared deviation scores is SS = 20 for a sample of n = 6 scores. What is the…

A: The variance of the sample can be calculated as:

Q: A sample of n=4 has test scores of 0, 0, 12, 12 What is the range, the variance and the standard…

A: Given information- Sample size, n= 4 Given test scores are- 0, 0, 12, 12 We know that- Range =…

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: Leaf length of a type of flower, in cm, are Normally distributed. It is further given that 0.13 of…

A: The random variable denotes the leaf length of a type of flower in cm, and it is distributed…

Q: A study of blood samples of 64 men shows a mean count of 5 million RBC per cubic ml., with a…

A: From the provided information, Mean of women (µ) = 4.5   Variance (σ2) = 0.13

Q: The average exam score is 63 with a variance of 33.  Your exam has a Z score of 0.96. What is your…

A:

Q: Participants in a psychology program have normally distributed IQ scores, with a mean of 104 and a…

A: We want to find IQ score

Q: A researcher wants to know the lifetime of a "BL" brand lamp. For necessity research, it takes 9…

A: Given : Population Mean life , μ = 1500 hrs Population standard deviation , σ = 111 hrs

Q: A sample has n = 16 scores,  a mean of M = 45 and has an estimated standard error of 4 points (sM  =…

A: Given information is  A sample has n = 16 scores, a mean of M = 45 and has an estimated standard…

Q: The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is perhaps the most widely…

A:

Q: Compute the standard score (Z-score) for x, when x = 42, the mean of the distribution = 26, and the…

A: x = 42Mean = 26Standard deviation = 8

Q: One of the characteristics of a standard normal curve is that its variance and standard deviation is…

A: We want to tell you which one is the correct choice

Q: Suppose the annual earnings of clinical pharmacists follows a normal distribution. A sample of 30…

A: Given Let n, sample size=30

Q: Do men take a different amount of time than women to get out of bed in the morning? The 45 men…

A: (a)   Determine the type of test used.   The type of test used here is “ two sample t test pooled…

Q: maria has calculated the variance for a set of data and now takes the square root of that value. she…

A: Variance is calculated by taking the summation of squared deviation of observations from their mean…

Q: A company is doing a hypothesis test on the variation in quality from two suppliers. Both…

A:

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

A: It is given that Mean of test scores = 1537 And SD = 315

Q: A company is doing a hypothesis test on the variation in quality from two suppliers. Both…

A: The question is about hypo. testing Given : Randomly selected no. of products from supplier 1 ( n1 )…

Q: A designer collected information on the price of a random sample of newly designed products and the…

A: Note: Hey there! Thank you for the question. As you have posted a question with multiple sub-parts,…

Q: Do men take a different amount of time than women to get out of bed in the morning? The 45 men…

A: We have given that,  (x-bar)1= 6.1 ,  S1= 5.6,   n1= 45 And (x-bar)2= 6,    S2= 5,        n2= 42

Q: An ecologist is studying the impact of local polluted waters on the growth of alligators. The length…

A: Length of adult male alligators follows a normal distribution with µ and standard deviation 2. n…

Q: The mean age of children at the X College daycare center is 6. The ages are skewed in a negative…

A: μ=6 σ2= 5.1

Q: A researcher uses an analysis of variance to test for mean differences among three treatments with a…

A: According to the given information, we have Given that a researcher uses an analysis of variance to…