Question

A population has a mean of 75 and a standard deviation of 15. You randomly sample nine people from the population. What is the likelihood that the sample mean will fall between 70 and 80?

Expert Answer

Want to see the step-by-step answer?

Check out a sample Q&A here.

Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times may vary by subject and question complexity. Median response time is 34 minutes for paid subscribers and may be longer for promotional offers.
Tagged in
Math
Statistics

Other

Related Statistics Q&A

Find answers to questions asked by students like you.

Q: The histogram shows the ages of 25 CEOs listed on a certain website. Based on the​ distribution, wha...

A: The histogram shows the ages of 25 CEOs.Given histogram is like a symmetric histogram.

Q: a study of nickels showed that the standard deviation of the weight of nickels is 150 milligrams. a ...

A: It is given that confidence level is 0.95, standard deviation is 150 and margin of error E is 20.

Q: Find the following probabilities  a.) P(Z ≤ -1.25) b.) P(Z > 1.45)

A: a)Here probability of Z is less than or equal to –1.25 represents the area to the left of –1.25.

Q: 0 | 4 5  1 | 2 4 8 9 2 | 1 3 6 6 9 9 9 3 | 0 1 2 4 7 7 7 8 9 4 | 1 2 3 4 6  5 | 4 Key:3 | 0=30    Th...

A: The stem and leaf plot is given.

Q: What type of variable ( nominal or ordinal) is ideology?

A: We are required to find the level of measurement ( or variable type) for variable Ideology.

Q: A manufacturing company recieves a shipment of ball bearings eah month from a supplier. The inspecto...

A: (a)The provided information are:Sample size (n) = 36Population mean (µ) = 0.240Standard deviation (σ...

Q: biostatistics course, the chapter of probability

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: ​What is the total number of scores (N) for the distribution shown in the following table?​ X       ...

A: The total number of scores in a frequency table can be referred as the sum of the products of freque...

Q: Problem 3

A: Preliminary calculation:Using the EXCEL formula “=NORM.S.INV(1-(0.05/2))”, the z-value for 95% confi...

Q: In 2008, the Detroit Lions set an NFL record by losing all 16 regular season games. Suppose that the...

A: Consider X is a random variable which represent the number of wins out with probability of success, ...

Q: Below are the jersey numbers of 11 players randomly selected from a football team. Find the​ range, ...

A: Note: the sample size mentioned in the question is 11. But the given observation is greater than 11....

Q: Question 1

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

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

A: Given Data

Q: Births are approximately uniformly distributed between the 52 weeks of the year. 1 1 s x53 f(x) 52 (...

A: Solution:Continuous uniform distribution:A random variable X is said to have the rectangular distrib...

Q: Find the minimum sample size n needed to estimate muμ for the given values of​ c, sigmaσ​, and E. ce...

A: It is given that confidence level is 0.90, standard deviation is 7.3 and margin of error E is 2.

Q: Please see picture

A: Click to see the answer

Q: Hello, I am completely stuck on finding frequency distributions. I do not understand the process can...

A: Given data set is17.7, 28.7, 19.2, 27.9, 33.5, 22.3, 22.4, 44.9, 26.5, 18.3, 27.7, 31.8, 23.8, 28.6,...

Q: (assume that all variables are approximately normally distributed) Weights of Elephants: A sample of...

A: The formula for 95% confidence interval is given below: 

Q: Can you help me with j and k?

A: Solution:The mean is obtained below:The mean is,

Q: A manufacturer of a chocolate candies uses machines to package candies as they move along a filing l...

A: It is given that sample mean and standard deviation are 8.159 and 0.051, respectively.The test hypot...

Q: The number of chocolate chips in an​ 18-ounce bag of chocolate chip cookies is approximately normall...

A: According to the Question, The number of chocolate chips in an​18-ounce bag of chocolate chip cookie...

Q: How many different three-letter words (including nonsense words) can be formed allowing repetition o...

A: From the given information, three letter words formed allowing repetition of letters.Three letter in...

Q: Six hundred and five survivors of a heart attack, were randomly assigned to follow either (1) a diet...

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

Q: Personnel tests are designed to test a job​ applicant's cognitive​ and/or physical abilities. A part...

A: It is given that the mean and standard deviation are 74 and 7.4, respectively.

Q: A random sample of 50 public school teachers in Georgia had a mean annual salary of $48,300. Assume ...

A: The hypotheses for the test is given below.Null hypothesis:H0: µ = $50,000Alternative hypothesis:H1:...

Q: help plz

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If y...

Q: Suppose the average time spent driving for drivers age 20 to 24 is 25 minutes and you randomly selec...

A: It is given that mean and standard deviation are 25 and 1.5, respectively.By using central limit the...

Q: A group takes a Personality test of Extraversion and they all take the test. They find that the grou...

A: It is given that the mean and standard deviation are 50 and 10, respectively.

Q: A research poll showed that 1282 out of 2040 randomly polled people in a country favor the death pen...

A: Confidence interval:A range of values such that the population parameter can expected to contain for...

Q: What is tα/2,df for a 95% confidence interval of the population mean based on a sample of 15 observa...

A: Solution: We have to find the t-critical value (tα/2) at the given significance level 1- 0.95=0.05 b...

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

A: Given datan = 18p= 0.8Applying Binomial theoremProbability of x success out of n trial is given by

Q: According to a poll of​ adults, about 4848​% work during their summer vacation. Assume that the true...

A: From the given information, it is clear that sample size, n = 600.The probability of success, p hat ...

Q: Facebook provides a variety of statistics on its Web site that detail the growth and popularity of t...

A: It is given that mean and standard deviation are 28 and 5, respectively.

Q: A population of values has a normal distribution with μ=158.8μ=158.8 and σ=91.9σ=91.9. You intend to...

A: Given information:Mean, µ=15.8Standard deviation, σ=91.9Sample size, n=141

Q: I only been b,c,and d.

A: a.The mean of this data set is obtained below:

Q: Tanya takes her physics test and is told that her z-score is 3.10. What percentage of students score...

A: It is given that the z-score is 3.10.

Q: Today, the waves are crashing onto the beach every 5.3 seconds. The times from when a person arrives...

A: Let X be random variable uniformly distributed between 0 and 5.3 seconds.Denote X as the time from a...

Q: The age of a first-grader on September 1 at Garden Elementary School has the following distribution:...

A: a)The probability that she is over 6.5 years old can be calculated:

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: Consider a binominal experiment with 2 trials and p=0.04 d. Find the probability of at least 1 succe...

A: d)From the given information, the binomial experiment with 2 trails and p=0.04 The probability mass ...

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: Today, the waves are crashing onto the beach every 4.9 seconds. The times from when a person arrives...

A: Let X be the random variable uniformly distributed between 0 and 4.9 seconds.Denote X as the time fr...

Q: 3. A medical researcher examined the number of asthma attacks patients had both before and while usi...

A: Hello there! there are more than three subparts in the question. According to our policies we cannot...

Q: 1) For a two-tailed hypothesis using a z-distribution, find the critical values (z-scores)that will ...

A: (a)Given: alpha = 0.20.For two tailed test, critical Z value can be calculated as:

Q: An automobile manufacturer finds that 1 in every 2500 automobiles produced has a particular manufact...

A: Solution: We are given that an automobile manufacturer finds that 1 in every 2500 automobiles produc...

Q: Engineers must consider the breadths of male heads when designing helmets. The company researchers h...

A: The minimum head breadth that will fit the clientele is 3.2 and it is calculated below: Let us defin...

Q: Given a population where p = 0.10, find the standard deviation of the samping distribution when n = ...

A: Click to see the answer

Q: If you draw a card with a value of four or less from a standard deck of cards, I will pay you $162. ...

A: Consider that there 52 cards available in standard deck of cards.Thus,The probability of selecting a...

Q: Please show TI 84 steps

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

Q: From a sample with n=32, the mean number of televisions per household is 4 with a standard deviation...

A: Chebyshev’s rule can be used for the large set data. It says that at least 1-1/k2 percentage of the ...