Question

A manufacturer produces a commodity where the length of the commodity has approximately normal distribution with a mean of 19.2 inches and standard deviation of 2 inches. If a sample of 42 items are chosen at random what is the probability the sample's mean length is greater than 20.1 inches? Round anser to four decimal places.

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: There is popular belief that herbal remedies such as Ginkgo Biloba and Ginseng may improve learning ...

A:  Based on the null hypothesis the herb has no effect on memory scores.H0: μ = 80 (even with the herb...

Q: You are comparing the variability of two groups of data to see if they come from the same population...

A: Solution: From the given information, level of significance is 0.05, the two sample sizes are 11 and...

Q: Last Question

A: We know, Xi~N(μ,σ2),i=1,2,...,n⇒X~N(μ,σ2n)Here,μ=74,σ=8,n=16⇒X~N(74,8216)⇒X~N(74,4)⇒Z=X-742~N(0,1)

Q: Indicate which of the following hypotheses are one or two tailed and if one tailed, , indicate which...

A: Concept: The null hypothesis can be defined as the hypothesis of no difference or equality, while th...

Q: Prose rhythm is characterized as the occurrence of five-syllable sequences in long passages of text....

A: Given Information: p = 26.1% = 0.261 Sample size (n) = 317 x = 61 are of the type two short and thre...

Q: Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone...

A: The summary of the statistics is,

Q: There is a popular belief that herbal remedies such as Ginkgo Biloba and Ginseng may improve learnin...

A: Given Information: Sample size n = 36 μ = 80 σ = 18 Sample mean = 84 Significance level α=0.05 Claim...

Q: Frito Lay did a study on the weights of their bags of corn chips. It was found that the weight is no...

A:  

Q: A food safety guideline is that the mercury in fish should be below 1 part per million (ppm). Listed...

A: Find sample mean and sample standard deviation using TI-84 calculator Use TI-84 calculator function ...

Q: A stick of unit length is broken into two pieces. Find the expected ratio of the length of the longe...

A: Click to see the answer

Q: Historically, heights of women have a bell-shaped with a mean of 162 cm and a standard deviation of ...

A: Given that, Historically, heights of women have a bell-shaped with a mean of 162 cm and a standard d...

Q: The “Descriptive Statistics” function in Excel …     calculates the confidence level using bot...

A: The descriptive statistics measure can be obtained from excel spreadsheet formula is given below,

Q: The gasoline price often varies a great deal across different regions across country X. The followin...

A: Objective: To test is there any significant difference in the mean price of gasoline for the three b...

Q: Reply fast

A: Given data: Total number of tickets sold, N = 10000. Each ticket is sold for x = $100. The raffle ha...

Q: In a certain country, total alcoholic beverage sales are reported throughout the year. Sales were re...

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for yo...

Q: Power +, Inc. produces AA batteries used in remote-controlled toy cars. The mean life of these batte...

A: Let X be a random variable with mean μ and standard deviation σ. Then, x¯-μσn follows a standard nor...

Q: True or False? Using a 95% confidence interval to describe an odds ratio allows other researchers to...

A: We know that- The null value or the difference value for an odds ratio is 1. If the confidence inter...

Q: Imagine that you conducted a single-sample t test with 8 participants. For a two-tailed test, the tc...

A: Where, n=number of observations α = level of significance

Q: he principle of redundancy is used when system reliability is improved through redundant or backup c...

A: Given data: The principle of redundancy is used when system reliability is improved through redundan...

Q: In the 1980s land prices in Japan surged upward in a “speculative bubble.” Land prices then fell for...

A: Prices of land means monetary expense which a person or owner has to bear to get a plot of land &amp...

Q: For a population with a mean of μ= 50 and a standard  deviation of σ= 10, compute the standard error...

A: For a population with mean µ  and standard deviation σ, the standard error is σM = σ/√n, where M is ...

Q: Two samples, each with n = 10 participants, have a pooled variance, sp2 = 180. What is the estimated...

A: From the provided information, Sample size (n1) = 10 and n2 = 10 Pooled variance (sp2) = 180 Pooled ...

Q: The ages of a group of 158 randomly selected adult females have a standard deviation of 18.9 years. ...

A: Click to see the answer

Q: A population of values has a normal distribution with Mean = 211 and standard deviation = 75.8 a ran...

A: (A) The probability that a single randomly selected value is between 195.8 and 200.3 is 0.0236, whic...

Q: The following data has been collected on the interarrival times of patients to an emergency departme...

A: From provided information, the interarrival times of patients to an emergency department is given as...

Q: please do parts A and B!! question/description is attached below

A: a)  p = 0.05 n = 60 N = 22000 np = 60(0.05)      = 3.0 n(1 - p) = 60(1 - 0.05)              = 57 10n...

Q: Assume that x has a normal distribution with the specified mean and standard deviation. Find the ind...

A: Given, X follows normal distribution with mean 8 and standard deviation 2. X~N(μ=8,σ2=22)

Q: Please solve very soon

A: Given information No of questions = 10 Each has 3 possible responses For 10 questions, there are 3 x...

Q: A t-test for independent samples computed by a researcher on the data from his experiment about the ...

A: From the provided information, Test statistic (t) = 2.0 Degree of freedom (df) = 30

Q: Could you please solve exercise 3_3 a,b

A: Chebyshev’s inequality: When the distribution of the population is not known. That is, when there is...

Q: Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those sc...

A: Given that, Mean = 100 Standard deviation = 15

Q: For a population with a mean of μ= 50 and a standard  deviation of σ= 10, compute the standard error...

A: Click to see the answer

Q: For the data shown, answer the questions. Round to 2 decimal places. x 24.9 7.9 28.9 13...

A: Click to see the answer

Q: Use the given information to find the number of degrees of​ freedom, the critical values χ2Landχ2R​,...

A: For the given sample size, n=23, The degree of freedom, d.f.=n-1=23-1=22

Q: For a population with a mean of u=40 and a standard deviation of o=6, find the z-score corresponding...

A: Click to see the answer

Q: 1. For a population with a mean of μ= 50 and a standard  deviation of σ= 10, compute the standard er...

A: Click to see the answer

Q: a clinical trial tests a method designed to increase the probability of conceiving a girl. In the st...

A: Given: Number of babies born (n)=360 Number of girl babies (x) = 306 Level of confidence = 0.99

Q: Suppose the random variable xx has a normal distribution with μ=300μ=300 and σ=30σ=30. Find the valu...

A: Given: μ=300, σ=30.

Q: Listed below are amounts​ (in millions of​ dollars) collected from parking meters by a security comp...

A: Given Information :  Listed below are amounts​ (in millions of​ dollars) collected from parking mete...

Q: e. Which of the following statements is an example of a hypothesis that they could use? (rusting

A: Solution: Here, a team of chemist wants to check the impact of acid rain on a rate of corrosion. Tha...

Q: QUESTION 40 A small pilot study is run to compare a new drug for chronic pain to one that is cu...

A: The objective is to test whether the new drug shows a significant difference in self-reported improv...

Q: ity of a sai

A: According to the given sum, the population mean is 227 and s.d. is 5.7. Let X be a random variable r...

Q: Find a best-fit line for the following 5 data points. Please state the equation of the line, and giv...

A: Given data :  The following data are passed: t Y 1 2 2 3 3 3 4 5 5 6 The independent...

Q: Assume that adults have IQ score that are normally distributed with a mean of 100.4 and a standard d...

A: According to the scenario, it is assumed that adults have IQ scores that are normally distributed wi...