You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are distributed normally, with a mean of 122mm and a standard deviation of 10mm. You take a random sample of 16 widgets off the factory floor. What is the probability that this sample average is greater than 123? Round your answer to three decimal places, eg 0.192. b. X is distributed as a Normal random variable with mean of 80 and a standard deviation of 10 (i.e X~N(80,10). You take a random sample of 20 items from X and you calculate the average of this sample. What is the expected value of this sample average? (i.e. what value would you expect to get for the average of this small sample?

You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are distributed normally, with a mean of 122mm and a standard deviation of 10mm. You take a random sample of 16 widgets off the factory floor. What is the probability that this sample average is greater than 123? Round your answer to three decimal places, eg 0.192. b. X is distributed as a Normal random variable with mean of 80 and a standard deviation of 10 (i.e X~N(80,10). You take a random sample of 20 items from X and you calculate the average of this sample. What is the expected value of this sample average? (i.e. what value would you expect to get for the average of this small sample?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

See similar textbooks

Related questions

Q: Bi-lo Appliance Super-Store has outlets in several large metropolitan areas in New England. The gene...

A: What is the dependent variable? , Draw a scatter diagram. Determine the correlation coefficient. Int...

Q: If the number of degrees of freedom for a chi-square distribution is 32, what is the population mean...

A: We have given that, Number of degrees of freedom from chi- square distribution (df) = 32 Then, We ...

Q: Determine the upper-tail critical values of F in each of the following two-tail tests. a. a = 0.10, ...

Q: You are to make a prediction of the response variable when ffarea=15, age=5, mfee=27, beds=3. You a...

A: Given information: The data represents the values of the response variable asking price and the expl...

Q: The national average SAT score is 1019. Assume SAT scores follow a normal distribution with standard...

Q: II. For each of the following experiments you should identify the variable(s) in the study, the data...

A: Here, variables are Birth weight -quantitative variable

Q: "An electrical firm manufactures light bulbs that have a length of life that is approximately normal...

A: Given data,Mean μ=809sd σ=89if n=36P(790<X<814)=?

Q: The Airline Passenger Association studied the relationship between the number of passengers on a par...

Q: : Calculate the coefficient of skewness for the follow- ing distribution : Central value : 1 2 3 4 5...

A: We have given that data I want to coefficients of skewness. Coefficient of skewness = (mean - mode...

Q: A student was asked to find a 99% confidence interval for the population proportion of students who ...

A: We have give that interpret is 99% confidence interval for the population proportion of students who...

Q: Find the critical value(s) and rejection region(s) for the type of z-test with level of significance...

Q: The average time a person spends at the Barefoot Landing Seaquarium is 94 minutes. The standard devi...

A: We have given that. X~N( μ , ?^2 ) μ=94 , ?=18 Z-score =( x - μ )/?

Q: : Calculate the coefficient of skewness for the follow- ing distribution : Central value : 1 2 3 4 6...

A: Given data is Central value 1 2 3 4 5 6 7 8 9 10 Frequency 2 9 11 14 20 24 20 16 5 5

Q: The time it takes a person to make a simple cash withdrawal in an ATM machine is said to normally di...

A: We have given that. X~N( μ , ?^2 ) μ=60 , ?=8 Z-score =( x - μ )/?

Q: Identify the type of hypothesis the statement is telling. 1. The average height of 16 years old Fili...

A: Note: According to Bartleby guidelines, expert solve only one and rest can be reposted.

Q: A company earns an average of 15 customers per day. What is the probability that the company will re...

A: Givenan average of 15 customers per day λ=15Let "x" be that the company receives cutomers per dayx~p...

Q: The average time a person spends at the Barefoot Landing Seaquarium is 94 minutes. The standard devi...

A: Let X be the random variable from normal distribution with average or mean (μ) = 94 minutes and stan...

Q: machine is set to produce no more than 0.07 defectives when properly adjusted. After the machine had...

A: We have given that Sample size n =100 Favorable cases x =20 Sample proportion p^=x/n =20/100 =0.20

Q: 2. Let X be a random variable with normal distribution having µ=30.9 and o²=8.41. A random sample of...

A: Let Z be the random variable from normal distribution with mean (μ) = 30.9, variance (σ2) = 8.41 and...

Q: Find the regression equation, letting the first variable be the predictor (x) variable. Using the li...

A: We have given that, Lemon imports (X) :- 231, 263, 353, 480, 513 Fatality rate (Y) :- 16, 15....

Q: (Calculation of Percentile of Data Sample) Find π15% of the following observations {−1200, −980, −87...

A: Data given −1200, −980, −870, −525, −371, −108, 0, 15, 210, 453, 700, 1120 P15=?

Q: Assume that a sample is used to estimate a population proportion p. Find the 99% confidence interval...

A: We have given that Sample size n = 335 Sample proportion p^=53%=0.53

Q: A radio news story claimed that half of all U.S. adults have Internet access. In a national poll abo...

Q: Fill in the P(X=x) values to give a legitimate probability distribution for the discrete random vari...

A: Solution : Value x of X Probability -3 0.27 3 0.27 4 0.30 5 0.19 6 0.26 Explanation:...

Q: Let X be a normal random variable with mean 200 units and standard deviation 8 units. Answer the fol...

Q: Installation of some software package requires downloading 82 files. On the average, it takes 15 sec...

A: We have given that. X~N( μ=15 , ?^2=16) μ=15 , ?=4 Z-score =( x - μ )/?

Q: If the standard deviation of hole diameter exceeds 0.01 millimeters, there is an unacceptably high p...

A: We have given that the standard deviation of hole diameter exceeds 0.01 millimetres, there is an una...

Q: A newsgroup is interested in constructing a 90% confidence interval for the proportion of all Americ...

Q: The following is a list of 14 measurements. - 13, -6, -45, 53, –3, 83, –23, 79, – 17, –96, – 18, 91,...

A: Given: A list of 14 measurements. -13,-6,-45,53,-3,83,-23,79,-17,-96,-18,91,53,-13

Q: The lifespan of a refrigerator made by General Electric (GE) costing $1930 has a mean life of 3.03 y...

Q: The electric consumption of office buildings in a certain city follows a normal distribution with a ...

A: GivenMean(μ)=22500standard deviation(σ)=3500

Q: If n = 41, ã=30, and s = 6, construct a confidence interval at a 80% confidence level.

A: It is given that Sample size n = 41 Sample mean = 30 Sample SD s = 6 The critical value of t at df =...

Q: You are interested in finding a 95% confidence interval for the average commute that non- residentia...

Q: The lengths of metal bolts are normally distributed with mean u cm and standard deviation 7 cm. If 2...

A: Givenstandard deviation(σ)=72.9% of the bolts measure more than 68

Q: Test the claim about the population mean, p, at the given level of significance using the given samp...

Q: X follows a Uniform Distribution from 2 to 5. What can be said of the median? Group of answer choic...

A: Given: X follows a Uniform Distribution from 2 to 5

Q: A group of 65 students was surveyed, and it was found that each of the students surveyed liked at le...

A: Given that - A group of 65 students was surveyed, and it was found that each of the students surveye...

Q: Find the probability for each house that the electric usage will not exceed 400W. 2. Find the probab...

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days...

A: Solution-: Given: μ=267,σ=15 We find. P(X>312 days)=?

Q: (Show complete solutions) How many four letter words beginning and ending with a vowel without any ...

A: Given word is," MATHEMATICS"no.of consonents=(M, T, H,C,S)=5no.of vowels=(A,E,I)=3Total no.of letter...

Q: H.W:- Find the transpose to the following matrices 4 6 80 5 13 -90

A: Solution: We can find the transpose of matrix by switching its rows with its columns. So the order o...

Q: Consider the following time series data. Week 1 3 4 Value 19 12 17 10 18 15 Using the naive method (...

A: c.

Q: Air-USA has a policy of booking as many as 20 persons on an airplane that can seat only 19. (Past st...

A: Solution-: We have, P(Booked passenger actually arrive for the flight) =p=0.89 P(Booked passenger a...

Q: "An electrical firm manufactures light bulbs that have a length of life that is approximately normal...

A: Given Population mean=μ=810, n=46, standard deviations=σ=68 Z score=Z=(x̄-μ)√n/σ Note this proba...

Q: 9. Keebom rolls a biased die repeatedly until he observes that both an even number and an odd number...

A: Given : Probability that even number will appear =p For 0<p<1

Q: The following data were obtained for the growth of a tarsier population introduced into a new enviro...

Q: Two different types of injection-molding machines are used to form plastic parts. A part is consider...

Q: 1. State whether the scatter diagram shows strong positive correlation, weak positive correlation, s...

A: Since we know that Positive correlation :- Both variable move in a same direction in other words as ...

Q: Activity 1 Solve for the proportion of the area of the following probability notations. Then, sketch...

A: As per guideline expert have to answer first three subparts only.

Q: 5. Suppose the random variable X represents the time it takes to complete orders at The Thoughtful C...

Question

a. You run a factory that produces widgets (no, you'll never escape the widgets). Widget diameters are distributed normally, with a mean of 122mm and a standard deviation of 10mm. You take a random sample of 16 widgets off the factory floor.

What is the probability that this sample average is greater than 123? Round your answer to three decimal places, eg 0.192.

b. X is distributed as a Normal random variable with mean of 80 and a standard deviation of 10 (i.e X~N(80,10). You take a random sample of 20 items from X and you calculate the average of this sample. What is the expected value of this sample average? (i.e. what value would you expect to get for the average of this small sample?

Expert Solution