In the following problem check that it is appropriate to use the normal approximation to the binomial. Then use the normal distribution to estimate the requested probabilities. Do you take the free samples offered in supermarkets? About 56% of all customers will take free samples. Furthermore of those who take the free samples about 35% will buy what they sampled. Suppose you set up a counter in a supermarket offering free samples of a new product. The day you were offerering free samples, 321 customers passed by your counter. C. What is the probability that a customer will take free sample and buy the producf? Notice that we are given the conditional probability p(buy|sample) = 0.35, while P(sample) =0.56 D. What is the probability that between 60 and 80 customers will take the free sample and buy the product? Hint. Use the probability of success calculated in part (c)

Q: Draw the line that best fits the data whose scatter diagram

A: Given:   x y 2.5 5.2 4 10.3 3.4 10.8 4.4 10.3 2.4 8.3

Q: The statement below is True/False: 1. Reducing the probability of Type I error increases the…

A: 1. Reducing the probability of Type I error increases the probability of Type II error. It is false.…

Q: Suppose two distributions with the following characteristics are given. Distribution A H= 47,100 O =…

A:

Q: 4. In a sample, 77% of adults say they prefer to get their news online. Seventeen adults are…

A: Given that n=17

Q: In a sample of n = 4, three subjects have scores that are 1 point below the mean each. The 4th…

A:

Q: (a) What is the level of significance? State the null and alternate hypotheses. Will you use a…

A: Answer:-  (a)Level of significance =0.05   (b)Student's t distribution.  We assume that d has an…

Q: The average amount of money spent for lunch per person in the college cafeteria is $6.3 and the…

A: Given data, μ=6.3σ=2.02n=6

Q: For which of the following scenarios can we assume that the sampling distribution of p is…

A: We have to find correct option.

Q: 34​% of likely U.S. voters think that the federal government should get more involved in fighting…

A:

Q: Suppose you wanted to produce a normal probability plot for the height of young women based on a…

A: Normal probability plot or normality plot explains whether the data is approximately normally…

Q: Dorothy Kelly sells life insurance for the Prudence Insurance Company. She sells insurance by making…

A: Given data: x y 12 1 20 13 15 8 15 5 28 8 5 2 20 5 14 6 22 8 7 3 15 5 29…

Q: prices of a 16 oz latte are not normally distributed, with µ = $4.00 and o= $0.75. Suppose a random…

A: Given  that  Sample size n =16 Population mean =4 Population standard deviation =0.75

Q: The Variance of the Binomial distribution is... O a.u O b. npq O d. None of these. O e.A

A: The Variance of the Binomial distribution is =npq

Q: Ted is not particularly creative. He uses the pickup line "If I could rearrange the alphabet, I'd…

A:

Q: A real estate agent working in a large city believes that, for three-bedroom houses, the selling…

A: From the given information,       β1( slope)=-2.158,S.E( β1) =0.149n=20α=0.05

Q: A student running for a position in student government believes that 55% of the student body will…

A: c. Suppose p is the true population proportion of student bodies, who will vote for the student…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 60% of these…

A: It is given that  p = 60% = 0.60 n = 94 X ~ Bin( n = 94, p = 0.60 )

Q: In this problem, assume that the distribution of differences is approximately normal. Note: For…

A: Since you have posted a question with multiple subparts, we will solve the first three complete…

Q: The time (in minutes) it takes for Danny's daughters to eat their dinner follow approximate normal…

A: Given: For Oldest daughter: Mean = 16 Standard deviation = 2 For youngest daughter: Mean =8 Standard…

Q: In an certain species of newt, offspring are born either green or black. Suppose that 50% of these…

A: Given: n = 187 p = 0.50 q = 1-0.50 = 0.50 Formula used: Mean μ = np Standard deviation σ = npq

Q: Which of the following better approximates the variance of the sample means? b. . N-1 a. 4

A:

Q: Leave all probabilities as percentages. Define x on all problems with data. Weights of Adult Coho…

A: Let X be the weights of Adult Coho Salmon. Now, X ~ N(9.3 , 0.62) .

Q: The Catalina Bison win 60% of the puzzle competitions they enter. Find the n (it should be an odd…

A: Let n be the total number of competitions played by Catalina Bison and X denote the number of wins.…

Q: A real estate agent working in a large city believes that, for three-bedroom houses, the selling…

A: Given: n = 20 Slope = -2.158 Standard error for the slope  of regression line = 0.149 Significance…

Q: The normal curve has two inflection points. Approximately 50% of the data in a normal distribution…

A: Please find the explanation below. Thank you

Q: 3. Let Y₁ 10). Hint: See example 6-3.2 in the book.

A: To find \( P(Y_6 > 10) \), we can utilize the definition of order statistics.Let's break it down…

Q: Using EXCEL, develop a 95% confidence Interval estimate for the Mean number of miles driven until…

A: 1. The 95% confidence interval is obtained by using the EXCEL(PHStat). The software procedure is…

Q: In a normal distribution of test scores, a score of X = 70 has a percentile rank of 54%. This means…

A: The pth percentile of a set of observations is the value below which, p% or (p/100) proportion of…

Q: If the mean and variance of a binomial distribution with parameters (n,p) are 40 and 30…

A:

Q: According to Reader's Digest, 30% of primary care doctors think their patients receive unnecessary…

A: As per our guidelines, we are allowed to answer first three sub-parts only . Thanks Given : p = 0.3…

Q: . 18 For a binomiał distribution the mean is 6 and the standard deviation is V2. Write out all the…

A:

Q: A normal probability plot of data from a sample of a population is shown to the right. Assess the…

A: A normal probability plot is given for a sample data, the objective is to assess the normality of…

Q: 1 out of every 10 fish have blue on them. If you were to take a random sample of 60 fish, what is…

A: Let X denote the number of blue fish out of n = 60 fish. Let p denote the probability of getting…

Q: Q4 The time required for all cross-country skiers to complete a race has a normal  distribution…

A:

Q: A civil engineering student has delivered a cylinder of concrete for the "concrete strength…

A: Let the random variable X denotes the strength of the student's concrete cylinder. Given that…

Q: A pharmaceutical company makes tranquilizers. It is assumed that the distribution for the length of…

A: Given samples data of 9 patients 2.5, 2.9, 3.0, 2.3, 2.3, 2.2, 2.8, 2.1, 2.4 From above data we get…

Q: The method of tree ring dating gave the following years A.D. for an archaeological excavation site.…

A: Hello, thanks for posting your question here.  Since you have not said, that which calculator you…

Q: For each problem calculate the desired probabilities. In each case the sample is normally…

A: d. Given the mean value is 128 and standard deviation is 9 That is, μ=128σ=9

Q: You select 7 statistics students at random, with replacement. What is the probability that exactly 3…

A: here given, total students =60 31 sleep on their side 20 sleep on their stomach 9 sleep on their…

Q: Use the Empirical Rule to find the following probabilities. It is suggested that you draw a normal…

A: As per Bartleby's guidelines, three parts of the given question can be solved at a given time. Given…

Q: Family size 1 2 3 4 6. 7 Proportion 0.28 0.35 0.15 0.13 0.06 0.02 0.01 Note: In this table, 7…

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.