1. Suppose the random variable X has a pdf given by that this is a valid pdf. If 0 ≤x≤a, find a so

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A: Given : Claim :  True mean of final exam score in Statistics & Probability of all SHS student is…

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A: From the provided information, Mean (µ) = 100 Standard deviation (σ) = 15 X~N (100, 15)

Q: Find the equation of the regression line. y = 16.673 +(-0.0031 )x (Round the y-intercept to three…

A: Since you have already find the equation of regression line ŷ = 16.673 + (-0.0031)x

Q: Fish story: According to a report by the U.S. Fish and Wildlife Service, the mean length of…

A: GivenMean(μ)=480standard deviation(σ)=42

Q: Compute for the appropriate sample size if the margin of error is 16, with a sample standard…

A: GivenMargin of error(E)=16standard deviation(σ)=49confidence level=85%

Q: (a)Consider a t distribution with 8 degrees of freedom. Compute P≥t1.16 . Round your answer to at…

A:

Q: The average number of cavities that thirty-year-old Americans have had in their lifetimes is 7. Do…

A: Note- Since you have posted a question with multiple sub-parts, we will solve the first three…

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A: Given data The number of guests in each room of a hotel

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A: Given Sample average =80.44 Standard deviation =43.99 Sample size =? Confidence level =99% Margin of…

Q: What is the coefficient of correlation given this data: X = 61, 62, 95, 71, 49 Y = 32, 47, 107, 77,…

A: X Y X \cdot YX⋅Y X^2X2 Y^2Y2   61 32 1952 3721 1024   62 47 2914 3844 2209   95 107…

Q: esc ! Use the ALEKS calculator to solve the following problems. (a) Consider a t distribution with 9…

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Q: Are birthdays "evenly distributed" throughout the year, or are they more common during some parts of…

A: Given data is as follows:   Observed Frequency, Fo Winter 42 Spring 46 Summer 54 Fall 38…

Q: Find the indicated z score. The graph depicts the standard normal distribution with mean 0 and…

A: Given that.   X~N( 0 , 1 )   μ=0  , ?=1 (for standard normal distribution)    Z-score =( x - μ )/?

Q: The safety commissioner in a large city wants to estimate the proportion of buildings in the city…

A: The following information has been given: The sample size is n=40. The favorable cases are x=4.

Q: The data below comes from a university that wanted to see if there was a relationship between High…

A: Given: 3.85 3.22 2.99 3.89 4.1 4 3.5 2.77 3.51 3.44 3 3.94 3.62 4…

Q: he Addition Rule for the probability that events A or B or C will occur, P(A or B or C), is given by…

A: Given that  P(A)=0.38, P(B) = 0.29, P(C)=0.12 P(A and B)=0.12, P(A and C)=0.04, P(B and C) = 0.06…

Q: 2. The weight of bolts produced by a machine has standard deviation of 0.03 pounds. Assuming that…

A: Margin of error=e=0.005 , standard deviations σ=0.03

Q: PLEASE MAKE A NORMAL DISTRIBUTION CURVE FOR THIS. DIGITAL ONLY NOT HANDWRITTEN

A: From the given Mean(μ)=65.33standard deviation(σ)=31.59sample size(n)=7

Q: A machine that manufactures automobile parts produces defective parts 13% of the time. If 7 parts…

A: Givenp=0.13sample size(n)=7Let "x" be the no.of parts are…

Q: Express the confidence interval 0.777 <p<0.999 in the form p+E.

A: The confidence interval for population proportion is given by (0.777, 0.999).

Q: ifteen items or less: The number of customers in line at a supermarket express checkout counter is a…

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Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: Given that  Mean = 100  Standard deviation = 15

Q: In each of parts (a)-(c), we have given a likely range for the observed value of a sample proportion…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: For a one-tailed hypothesis test the critical value is 2.485. What is your statistical decision if t…

A: We have given, For a one-tailed hypothesis test the critical value is 2.485 And the test statistic…

Q: A random variable follows the continuous uniform distribution between 20 and 120. a. Calculate the…

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Q: The proportion p of residents in a community who recycle has traditionally been 60%. A policy maker…

A: As per our guidelines we are suppose to answer one question1)Given claim is that the proportion (p)…

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A: Given data: x 1 11 8 4 6 9 6 5 0 6 8 3 2 6 7 1 9 4 0 9…

Q: he Acme Company manufactures widgets. The distribution of widget weights is bell-shaped. The widget…

A: Given: mean(μ)=57standard deviation(σ)=6

Q: The scores in the Stanford IQ test are known to be normally distributed with population mean 100 and…

A: Given that, μ=100,σ=16,n=9 The mean and standard deviation of the sampling distribution of sample…

Q: Each bit transmitted through a channel has a 10% chance to be transmitted in error. Assume that the…

A: Dear student, If you find this solution helpful please upvote ? it.   We know,  If X ~ Bin(n,p)…

Q: A Caviar food packaging system provides the following weight after filling the packages. The goal is…

A: Given data

Q: Part A Find the values of t for which the area on the right tail of the t- distribution is 0.10 and…

A: The question is about critical value of t dist. Given :  Area on right tail of t - dist. = 0.10   To…

Q: A group of people were asked if they had run a red light in the last year. 478 responded "yes", and…

A: Number of Run red responded yes =478  Number of Run red responded no = 254  Total=478+254=732…

Q: Determine the null hypothesis, alternative hypothesis, student's t calculation, critical region (see…

A: n1 = 21 n2 = 21 Formula Used: Formula Used: Test-statistic t = X1 - X2s12n1+s22n2

Q: A linear regression analysis is used to analyze the relationship of the sleep time the night before…

A: Given info: A linear regression analysis is used to analyze the relationship of the sleep time the…

Q: Question 14 Which of the following statements is NOT true for a normal distribution? The areas on…

A: Know that about normal distribution.    X~N( μ , ?^2 )   Z-score =( x - μ )/?   NOTE:- According to…

Q: You would like to construct a 99% confidence interval to estimate today's population mean…

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Q: a. For this study, we should use Select an answer b. The null and alternative hypotheses would be:…

A: here AS PER GUIDELINES I HAVE CALCUTED 3 SUBPARTS , PLZ REPOST FOR REMIANING PARTS WITH NOTE I NEED…

Q: Archeologists have studied sizes of Egyptian skulls in an attempt to determine whether breeding…

A: Given data is128.1,138.4,126.2,131.9,142.8,135.3,139.2,129.1  sample size(n)=8confidence level=99%

Q: Assume that a sample is used to estimate a population mean μμ. Find the margin of error M.E. that…

A:

Q: Assume that females have pulse rates that are normally distributed with a mean of μ = 76.0 beats per…

A: Ggjjgvchhggh

Q: In a survey of 2886 adults, 1445 say they have started paying bills online in the last year.…

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Q: Find the indicated area under the curve of the standard normal distribution, then convert it to a…

A: The z-scores are -1 and 1.

Q: Assume that a sample is used to estimate a population mean . Find the 95% confidence interval for a…

A: Given datan=293mean=42.5standard deviation=7.8confidence interval=95%

Q: tudents in a statistics class took their first test. The following are the scores they earned.…

A: For the given data Class width =? Complete the frequency/relative frequency table using the given…

Q: 6.29 Boys' Foot Length Suppose a shoe store stocks shoes in men's sizes / shoes will fit men with…

A: Given: μ = 25.2 centimetres σ = 1.2 centimetres  Formula Used: z-score = X-μσ