Math

StatisticsQ&A LibraryAn SRS of 450 high school seniors gained an average of ?¯=20 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=49 . (a) Find a 95% confidence interval for the mean change in score ? in the population of all high school seniors. (Enter your answers rounded to two decimal places.) lower bound of confidence interval: upper bound of confidence interval: (b) What is the margin of error for 95% ? (Enter your answer rounded to two decimal places.) margin of error: (c) Suppose we had an SRS of just 100 high school seniors. What would be the margin of error for 95% confidence? (Enter your answer rounded to three decimal places.) margin of error:Start your trial now! First week only $4.99!*arrow_forward*

Question

An SRS of 450 high school seniors gained an average of ?¯=20 points in their second attempt at the SAT Mathematics exam. Assume that the change in score has a Normal distribution with standard deviation ?=49 .

(a) Find a 95% confidence interval for the mean change in score ? in the population of all high school seniors. (Enter your answers rounded to two decimal places.)

lower bound of confidence interval:

upper bound of confidence interval:

(b) What is the margin of error for 95% ? (Enter your answer rounded to two decimal places.)

margin of error:

(c) Suppose we had an SRS of just 100 high school seniors. What would be the margin of error for 95% confidence? (Enter your answer rounded to three decimal places.)

margin of error:

Tagged in

Math

Statistics

Find answers to questions asked by students like you.

Q: Here is a chart showing how many people are non-smokers, occasional smokers, and heavy smokers by th...

A: Note:Hey there! Thank you for the question. Since you have posted two different questions together, ...

Q: Following are the weights of 8 boxes of cookies, each of which is labeled as containing 16 ounces. A...

A: It is provided that,Sample size (n) = 8Hypothesized population standard deviation (σ0) = 0.1Level of...

Q: Explain the difference between a stratified sample and a cluster sample. (Select all that apply.) In...

A: Cluster sampling is a sampling method in which the researcher divides the population into clusters, ...

Q: Explain the four different types of sampling and give an example of each.

A: Different types of sampling methods with examples.Types of random samplings(1) Simple random samplin...

Q: What are the assumptions underlying the repeated-measures ANOVA

A: Repeated measures ANOVA:Repeated measures ANOVA is a belongs to the family of ANOVA. The repeated me...

Q: A population of values has a normal distribution with μ=72.4μ=72.4 and σ=48.8σ=48.8. You intend to d...

A: Given information:Mean, µ=72.4Standard deviation, σ=48.8Sample size, n=114

Q: The age of children in kindergarten on the first day of school is uniformly distributed between 4.71...

A: From the given information, the random variable X as the age of children in kindergarten on the firs...

Q: The probability of buying a movie ticket with a popcorn coupon is 0.717. If you buy 21 movie tickets...

A: Given datan= 21p= 0.717probability that exactly 14 of the tickets have popcorn coupon green is given...

Q: About 1% of the population has a particular genetic mutation. 400 people are randomly selected.Find ...

A: From the given information,x is the random variable that follows binomial distribution

Q: Company XYZ know that replacement times for the portable MP3 players it produces are normally distri...

A: Consider,X be a random variable that shows the replacement times for the portable MP3 which follows ...

Q: A classic counting problem is to determine the number of different ways that the letters of "differe...

A: According to the principle, if there are n objects with r1 objects of one kind, r2 objects of anothe...

Q: Big babies: The National Health Statistics Reports described a study in which a sample of 355 one-ye...

A: a) From the given information, the claim of the problem is testing whether the mean weight of one-ye...

Q: Test the given claims using the traditional method of hypothesis testing. Various temperature meas...

A: The hypotheses for the test is given below:Null hypothesis:H0: µ = 22.Alternative hypothesis:H1: µ ≠...

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the h...

A: It is given that the mean and standard deviation are 69.0 and 2.8.

Q: novel pages- a random sample of 25 novels has a standard deviation of 9 pages. Find the 95% confide...

A: The sample standard deviation is 9.The sample size is 25.

Q: I don't understand how to use binomial formulas to solve this problem

A: Given dataHypothesized proportion (p) = 0.7

Q: A certain snack vending machine dispenses the incorrect item, on average, 4.2 times every day. Assum...

A: The snack vending machine dispenses the incorrect item on average 4.2 times per day.Thus,

Q: Which is better and corresponds to the higher relative position, a score of 92 on a test with a mean...

A: Solution:From the given information, score of 92 on a test with standard deviation of 15 and mean of...

Q: If a researcher reported for a single-sample t-test that t(17) = 2.90, p<.02, how many subjects w...

A: It is given that the test is single-sample t test and the degrees of freedom is 17.

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

A: Click to see the answer

Q: 4. Suppose a new sample is chosen and you got the following estimated OLS line: predicted birthweigh...

A: Introduction:Effect of scale change of the predictor, on the regression coefficients:Suppose x denot...

Q: The patient recovery time from a particular surgical procedure is normally distributed with a mean o...

A: The provided information is:

Q: Assume the random variable X has a binomial distribution with the given probability of obtaining a s...

A: Given Datan = 9p = 0.5Required probability is given by

Q: Problem 29 d

A: The null and alternative hypotheses are given below:H0: µ = 21.62Ha: µ ≠ 21.62Procedure to find samp...

Q: A group conducted a survey of 13,000 brides and grooms married in the United States and found that t...

A: The minimum cost (in dollars) for a wedding to be included among the most expensive 5% of weddings i...

Q: An SRS of 380 high school seniors gained an average of ?¯=21.02 points in their second attempt at th...

A: It is given that the mean is 21.02, the standard deviation is 49.89, sample size is 380 and the leve...

Q: #2: Let X1, X2 and X3 an independent and identically distributed (i.i.d.) random sample taken from a...

A: Let X1, X2 and X3 an independent and identically distributed (i.i.d) random sample taken from a dist...

Q: I would like help with this application

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are sol...

Q: The mean score on a driving exam for a group of driver's education students is 60 points, with a s...

A: Solution:From the given information, k value is 22, standard deviation of points is 4 and mean numbe...

Q: Rocky Mountain National Park is a popular park for outdoor recreation activities in Colorado. Accord...

A: According to the provided data, the sample size, n is 175. The probability of entering through the B...

Q: How many different three-letter words (including nonsense words) can be formed such that the two let...

A: The permutation can be used to find the number of ways by which a set of objects can be arranged whe...

Q: Discuss the differences between probability and nonprobability sampling. What are their comparative ...

A: The differences has been shown in the table

Q: To estimate the mean score ? of those who took the Medical College Admission Test on your campus, yo...

A: Part-aGivenStandard deviation = 6.5According to 68-95-99.7 rule with in one standard deviation of me...

Q: Suppose the lengths of the pregnancies of a certain animal are approximately normally distributed wi...

A: From the given information,Mean (μ) =272days and standard deviation (σ) =19daysSample size (n) =51

Q: Determine whether the hypothesis test involves a sampling distribution of means that is a normal dis...

A: Given:Sample data:n=sample size = 25

Q: Exercise 5.7.4 A UMass Boston student has earned 55 credits toward his degree but has a GPA of just ...

A: It is given that the GPA for 55 credits is 1.8.The minimum GPA to obtain is 2.Let G be the required ...

Q: Computers are commonly used to randomly generate digits of telephone numbers to be called when condu...

A: A nonstandard normal distribution cannot be used because the randomly generated digits themselves do...

Q: for a normal distribution with a mean of 7 and a stanard deviation of 6, the value 10 has a z value ...

A: It is given that mean and standard deviation are 7 and 6, respectively.

Q: Please show TI 84 steps

A: According to the provided information, a fingerprints expert will correctly identify the match 83% o...

Q: Please show TI 84 steps

A: Note:Hey, since there are multiple sub-parts question posted, we will answer first three sub-parts. ...

Q: Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is 69 mile...

A: Solution:The empirical rule for any normal distribution is given below.68% of the observations fall ...

Q: Please see picture

A: It is provided that X defined as random variable, follow the distribution of Benford’s Law.a)To show...

Q: Searc k for Chapter 9-3352. (1) Protected View - Saved Help View Review Mailings rences t can contai...

A: Given Data

Q: The US population is 13% African American. If you were to take a SRS of 500 Americans, above what p...

A: Solution:From the given information, the proportion of African American is 0.13, random sample of si...

Q: The manufacturer of a certain brand of household light bulbs claims that the bulbs produced by their...

A: The provided information are:Sample size (n) = 10Sample mean (x̄) = 1960Sample standard deviation (s...

Q: State the null and alternative hypothesis for the following: a) The average SAT in the state is repo...

A: a)Formulation of hypothesisNull Hypothesis: - mean for the local district is equal to 1010Alternativ...

Q: A simple random sample of size n = 64 is obtained from a population with μ=80 and σ=16. (a) Descri...

A: (a) From the Central Limit Theorem, the sampling distribution of sample mean is normal distribution ...

Q: You wish to play a three-number lottery with your favorite data 8, 2 and 5. After a number is drawn...

A: Given dataThere are 3 numbersRepetition is allowedWe are drawing a single number with replacement, s...

Q: a group of diners were asked how much they would pay for a meal. their responses were $7.50,$8.25,$9...

A: Five number summary:Minimum value: It represents the least value for any given set of observations.F...

Q: Please see picture

A: Part a)