Question

A population of values has a normal distribution with μ=179 and σ=98.2. You intend to draw a random sample of size n=75.

Find the probability that a sample of size n=75 is randomly selected with a mean less than 181.3.

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

Related Statistics Q&A

Find answers to questions asked by students like you.

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

A: The differences has been shown in the table

Q: Assume the random variable x is normally distributed with mean equals=84 and standard deviation equa...

A: z-score:A z-score is a standard score that describes the number of standard deviation away from its ...

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: 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: In a certain population, body weights are normally distributed with a mean of 152 pounds and a stand...

A: The number of people surveyed is 1271 and it is obtained below: Let us define the random variable X ...

Q: A population of values has a normal distribution with μ=60.4μ=60.4 and σ=98.4σ=98.4. You intend to d...

A: It is given that the mean and standard deviations are 60.4 and 98.4Probability that the selected val...

Q: the following display from a TI-84 plus calculator presents a 95% confident interval. zinterval(29.8...

A: It is given that the 95% confidence interval is (29.856, 39.608).

Q: Part b. Please show TI 84 steps

A: Confidence interval when population standard deviation is not known:The formula of confidence interv...

Q: Monitors manufactured by TSI Electronics have life spans that have a normal distribution with a vari...

A: Consider X be a random variable which, follows normal distribution, indicates the life span of a mon...

Q: I have absolultely no understanding of how to solve this the formulas given in the text make no sens...

A: Given dataMean(µ) = 2.888Standard Deviation (σ) = 0.009n> 30, so, Applying central limit theorem

Q: A class has 35 students. In how many different ways can five students form a group for an​ activity?...

A: It is given that N is 35 and r is 5.

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: 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: 7q3r2 Time 9.8 3.3 4.5 2.8 14.4 2.6 6.7 8.9 3.9 4.1 2.5 2.8 0.1 1.3 6.3 10.8 7.5

A: The t-test considered here is a left-tailed test.The sample size is, n = 25.Since one of the degrees...

Q: Please see picture

A: Let A be the event that a lot has 5 defective parts and B be the event that a lot has 2 defectiven p...

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

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

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: Problem 4

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

Q: Based on extensive historical data compiled by Home Depot, the average customer spends $1,525 to car...

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

Q: Human Resource Consulting (HRC) surveyed a random sample of 60 Twin Cities construction companies to...

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

Q: A small pilot study was conducted to compare cholesterol levels in individuals before and after a lo...

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

Q: for this set of data, the standard deviation is equal to: 9,8,10,5,5,2,3,6,3

A: Mean:The formula for finding mean is shown below:

Q: #3: Let Z bee normally distributed with mean 0 and variance 1. Let Z1,..., Zn be an i.i.d. random sa...

A: Solution:3.a. The moment generating function of Z2 is obtained below:From the given information, z b...

Q: A history class has 75 members. If there is a 12% absentee rate per class meeting, find the mean, va...

A: It is given that n is 75 and p is 0.12.

Q: A recent survey revealed that an American's Christmas spending averaged $830. Use this as the popula...

A: From the given information, let us define the random variable X as the amount of spending follows no...

Q: You are playing a card came, and the probability that you will win a game is p=0.59p=0.59.If you pla...

A: It is given that the random variable X, number of wins in a card game follows a binomial distributio...

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: For a population of m=50 and standard deviation of 6, describe the shape, the mean, and the standard...

A: The provided information is:

Q: A Harriss poll taken surveyed 2016 adults and found that 423 of them had one or more tattoos. can yo...

A: The hypotheses for the test is given below.Null hypothesis:H0: p = 0.25Alternative hypothesis:H1: p ...

Q: A researcher wishes to conduct a study of the color preferences of new car buyers. Suppose that 50% ...

A: Given datan= 10p= 0.5probability that exactly two-fifths of the buyers would prefer green is given b...

Q: Part 1 The town of KnowWearSpatial, U.S.A. operates a rubbish waste disposal facility that is overlo...

A: Part 1: Consider M be a mean for a random variable of sample size, n equal to 4689. Since the sample...

Q: Please show TI 84 steps. Part d

A: a)t>2.718, df = 11=0.01( From Excel =T.DIST.RT(2.718,11))type error = significance level = 0.01re...

Q: Please see picture

A: In this context, it is assumed that the n students are selected at random without replacement from a...

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: Please see picture

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

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of...

A: Given dataMean = 197.4 cmStandard deviation = 1.6 cmSample size n = 13probability that the average l...

Q: The GPA's of all students enrolled at a large university have an appromimately normal distribution w...

A: It is given that the GPA of students enrolled at university is normally distributed with mean 3.02 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: A statistics professor announces that 15% of the grades he gives are As. The results of the final ex...

A: It is given that the mean and standard deviation are 83 and 6, respectively.

Q: How many license plates can be made using two letters followed by four digits (0-9), allowing repeti...

A: From this given information, license plates can be made using two letters followed by four digits (0...

Q: For a variable x that is noramally distributed with a mean of μ = 50 and a standard deviation σ = 5,...

A: It is given that the mean and standard deviation are 50 and 5, respectively.

Q: A softball pitcher has a 0.626 probability of throwing a strike for each curve ball pitch. If the so...

A: It is given that the probability of throwing a strike for each curve ball pitch is 0.626. The softba...

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: Diastolic blood pressure is a measure of the pressure when arteries rest between heartbeats. Suppose...

A: From the given information,Let x be random variable that follows normal distribution with mean of 69...

Q: Need answers to questions 8-11.

A: Hey there! Thank you for posting the question. Since there are multiple questions posted, we will an...

Q: The mean amount of time it takes a kidney stone to pass is 13 days and the standard deviation is 4 d...

A: It is given that the mean and standard deviation are 13 and 4.

Q: 72% of all students at a college still need to take another math class. If 34 students are randomly ...

A: It is given that the probability of a selected student need to take another math class is 0.72.The r...

Q: Births are approximately uniformly distributed between the 52 weeks of the year. 1 1 sxs53 f(x) = 52

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

Q: Help

A: Test statistic:The test statistic for hypothesis test for proportion is given by: 

Q: Today, the waves are crashing onto the beach every 5.8 seconds. The times from when a person arrives...

A: Note:Hey there! Thank you for posting the question. However, since your question has more than 3 sub...