Let (X₁, X2, X3..... Xn) is a random sample. Find the value of c that satisfies the condition that P(-c< X < c) is approximately equal to 0.95 for each of the following conditions. a. The sample size is n=100 and the population mean μ = 6 and o² = 42.25

Q: Suppose the age that children learn to walk is normally distributed with mean 11 months and standard…

A: GivenMean(μ)=11standard deviation(σ)=2.1sample size(n)=33

Q: You have an unfair coin that can flip Heads or Tails. P is a probability density function for…

A: Given P(Tails)=284/557

Q: Question 7 The following plots have been obtained for a time series. a) Suggest an appropriate ARIMA…

A: Given Information: Consider the given outputs obtained from R.

Q: Is there an association between party affiliation and​ gender? The accompanying data represent the…

A: Given the data that represents the gender and party affiliation of registered voters based on a…

Q: Bees flap their wings an average of 200 times per second with a standard deviation of 10.5 flaps per…

A: From the provided information, Mean (µ) = 200 Standard deviation (σ) = 10.5 X~N (200, 10.5) Sample…

Q: The following data represent the living situation of newlyweds in a large metropolitan area and…

A: &lt;$20,000   $20−35,000   $35−50,000   $50−75,000   &gt;$75,000  total Own home 31…

Q: children under five who came from a normally distributed population with a mean of 3500 grams and a…

A: Given that.   X~N( μ , ?)   μ=3500     , ?=200  , n=15   Z-score =( x - μ )/?

Q: standard deck of cards contains 52 cards one card is selected from the deck compute the probability…

A: select card from 52 card deck.    P(event) = no. of favorable outcomestotal outcomes

Q: A random sample of 36 cans of soda is obtained and the contents are measured. The sample mean is…

A: Given Population mean μ=12, n=36, sample mean x̄=12.05, s=0.11

Q: Find the probability using the normal distribution:  P(−2.29<z<0)

A: standard normal distribution Z~N(0,1) μ= 0σ = 1 P(-2.29&lt;Z&lt;0) = ?

Q: The amount of potassium in food varies, but bananas are often associated with high potassium, with…

A: a) Suppose a random variable x defines the amount of potassium intake in a medium-sized banana.

Q: The number of typing errors made by a typist has a Poisson distribution with an average of three and…

A: 1. Suppose a random variable X defines the number of typing errors made by a typist per page.

Q: An official from the Directorate General of Taxes is of the opinion that the proportion of taxpayers…

A:

Q: X ŷ = y 22 24 26 30 35 40 13 20 33 34 40 35 (a) Develop an estimated regression equation for the…

A: Given data: x y 22 13 24 20 26 33 30 34 35 40 40 35

Q: The data below comprises of the number of hours (X) studied and the exam grade (Y) obtained for 6…

A: Given The data is as follows: X Y(%) 2 73 5 90 1 60 2 80 3 89 3 87

Q: will apply for graduate school. If the population standard deviation is 10 and the sample size is…

A: Given that  Population proportion p=25%=0.25 Sample size n =100

Q: Complete the following table and use it calculate the probabilities given below.   B Bc Total A…

A: Method : P(Ac) = 1- P(A)

Q: In a random sample of 100 audited estate tax retums, it was determined that the mean amount of…

A: Suppose µ is the true mean amount of additional tax owned for estate tax returns.

Q: Read the proof below. If the numbers given in the second sentence are {42, 43, 55, 74, 96, 127,…

A: According to given box model, Box number 0 1 2 3 4 5 Last digit 0 1 or 9 2 or 8 3 or 7 4 or 6 5…

Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A: Suppose a random variable x, defines the bone density test scores.

Q: A population of values has a normal distribution with μ = 145.1 and σ = 60.3. You intend to draw a…

A: Question.2:- according to central limit theorem if sample size is large enough i.e. greater than 30…

Q: Given that Practice q 88. 129 s² = 100, s²=81, Σ(x − x)(y- y) = 480 and n=8, the slope of the…

A:

Q: There are 7 male and 3 female students. If the professor is picking 2 students at random…

A: Answer: -  Given,  7 male and 3 female students.                  Total = 7 + 3 = 10 students…

Q: economy estimates for automobiles built in a certain year predicted a mean of 24.8 mpg and a…

A: Given Mean μ=24.8, standard deviations σ=7.2

Q: A population of values has a normal distribution with μ = 143.4 and o= 68.3. You intend to draw a…

A: Let random variable X be a population of values.X has normal distribution with mean(μ)=143.4 and…

Q: The stem and leaf plot shows house sale prices over the last week in Florence for how much was the…

A: Stem and leaf plot.   The stems are listed in the left side of the vertical line and these numbers…

Q: According to flightstats.com, American Airlines flights from Dallas to Chicago are on time 80% of…

A: The question is about discrete prob. distribution Given : Prop. of the times flights are on time ( p…

Q: n a survey of 1082people, 725 people said they voted in a recent presidential election. Given that…

A: Given,n=1082p=0.63np=1082×0.63=681.66&gt;5n(1-p)=1082×(1-0.63)=400.34&gt;5Therefore we can use…

Q: In a recent poll, the Gallup Organization found that 45% of adult Americans believe that the overall…

A: given data,adults americans believe that the overall state of moral values in United states is poor…

Q: Type I error: Washers used in a certain application are supposed to have a thickness of 2…

A: Given: null hypothesis H0: μ = 2 this means that the thickness of the mean washers is 2 millimeters.…

Q: Borrowing Library Books For Americans using library services, the American Library Association (ALA)…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: =tion 3 of 15 > The National Institute of Standards and Technology (NIST) supplies "standard…

A: Given that

Q: For this experiment Consider a Grade School Class that has 23 males and 31 females. And we are going…

A: GivenNo.of male students = 23No.of female students = 31Total no.of students = 54

Q: According to Chemical Engineering, an important property of fiber is its water absorbency. The…

A: The question is about hypo. testing Given : Randomly selected pieces of cotton fiber ( n1 ) = 12…

Q: Exercise 6. College Completions The percentage (rounded to the nearest whole percent) of persons…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The boxplot below shows salaries for CPAS and Actuaries in a town. CPA Actuary 30 40 50 60 70 80 90…

A:

Q: Question 8 Assume the mean useful life of a Caterpillar motor is 500,000 hours and is normally…

A: Given: Mean μ = 500,000 Standard deviation σ = 50,000 X = 605,000 Formula Used: Z-score = X-μσ

Q: uppose a simple random sample of size n=150 is obtained from a population whose size is N=15,000…

A: given data,n=150N=15000p=0.8x=114P(p^≤0.76​)=?

Q: 4.1 Answer each of the following: a. Suppose that a simple regression has quantities N = 20,…

A:

Q: A mandatory competency test for high school sophomores has a normal distribution with a mean of…

A: Assume a random variable X, defines the scores obtained in competency test for sophomores of high…

Q: Calendar X Answered: A X sessment/showtest.php?action=skip&to=5 022 GRANT > Assessment (58) Headstro…

A:

Q: Compute P(8 trials needed) round your answer to the nearest thousandth

A:

Q: Assume that a random variable is normally distributed with a mean of 1,200 and a variance of 310.…

A: GivemMean(μ)=1200variance(σ2)=310standard deviation(σ)=310standard deviation(σ)=17.60681686

Q: What is the expected number of 6's rolled?

A: Given: Let x be the number of six's rolled can be modelled with probability p=1/6 No of roll n=…

Q: Question 5 The following monthly sales of chocolate boxes (in thousands of AUS dollars) have been…

A: The given data for sales of chocolate boxes are given as follows: Month Sales (in thousands of…

Q: d) Compute the margin of error. e) Give the 95% confidence interval for the population proportion,…

A: Given,  tosses of the pig die; Number, n = 11954 pig landed on its back; mean, x = 2677 confidence…

Q: 2. The VP for Academic Affairs of the University of Pangasinan wished to understand the distribution…

A: Given data: College Number of students Human Sciences, HS 2069 Natural Sciences, NS 2565…

Q: A poll is given, showing 35% are in favor of a new building project. If 10 people are chosen at…

A: given dataP(favor new project) = p = 0.35sample size (n) = 10x = no. of people favor new project…

Q: Question 4 P is a Probability Density Function on a space discrete sample S Let A be a set of events…

A: