A final exam in Math 160 has a mean of 73 with a standard deviation of 7.8. If 24 students are randomly selected, find the probability that the mean of their test scores is less than 70.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.8 and a standard…

A: Let "X" be the IQ score of the adults.

Q: Business Weekly conducted a survey of graduates from 30 top MBA programs. On the basis of the…

A: From the provided information,Mean (µ) = 162000Standard deviation (σ) = 36000Sample size (n) = 58

Q: CNNBC recently reported that the mean annual cost of auto insurance is $962. Assume the standard…

A: Given information: The mean annual cost of auto insurance is $962. The standard deviation is $190.…

Q: The test scores in a class are normally distributed with a mean score of 77. if the standard…

A: The distribution of test score are normally distributed with mean of 77. Now consider the standard…

Q: A population has a mean of 200 and a standard deviation of 25. A sample of 64 observations will be…

A: We have to find out given probabiity..

Q: Tiger Woods hits an average driver 287.2 yards with a standard deviation of 24.6 yards. What is the…

A: The probability value is calculate by means of standard normal variate with the random variable,…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: A flu test shows that about 31% of 90 patients visited hospital in the first week of January had…

A: Given that  n = 90 , p = 31% = 0.31 , q = 1 - p = 1 - 0.31 = 0.69 X ~ Binomial (n = 90 , p = 0.31) X…

Q: Suppose the mean height in inches of all 9th grade students at one high school is estimated.

A: Population standard deviation, σ =3 inches Sample size n=6

Q: Find the probability that a sample of 18 has a sample mean below 32. The population mean is 24 and…

A: Central Limit Theorem for mean: If a random sample of size n is taken from a population having mean…

Q: You want to determine the probability that when seven consumers are randomly selected, exactly two…

A: 1. n = 7, x = 2, p = 0.45, q = 0.552. Mean, μ = 3.15    Standard Deviation, σ = 1.31623. P(X = 2) =…

Q: The average number of pounds of red meat a person consumes each year is 196 with a standard…

A: We are given,μ = 196σ = 22n = 60

Q: On average, the fasting blood glucose for pregnant women is 80 with a standard deviation of 10. You…

A: Let X be the fasting blood glucose for pregnant women.Given, µ=80 and σ=10.

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9 and a standard…

A: Given: Mean μ = 95.9 Standard deviation σ = 15.6 Formula Used: Z-score: Z = X-μσ

Q: A particular fruit's weights are normally distributed, with a mean of 727 grams and a standard…

A: The mean is 727 and the standard deviation is 34 grams.

Q: Suppose the probability a patient will recover from a disease following medication is 0.7. In a…

A: Given : the probability a patient will recover from a disease following medication is 0.7.  In a…

Q: The average credit card debt for college seniors is $3262. If the debt is normally distributed with…

A: Let X be the random variable from normal distribution with mean (μ) = $3262 and standard deviation…

Q: A final exam in science 160 has a mean of 73 with a standard deviation of 7.8. If 25 students are…

A: Given information- Population mean, µ = 73 Population standard deviation, σ = 7.8 Sample size, n =…

Q: A final exam in Science 150  has a mean of 80 with a standard deviation of 8. If 25 students are…

A: Given: μ = 80 σ = 8 n = 25

Q: The average score of all golfers for a particular course has a mean of 64 and a standard deviation…

A:

Q: Assume that adults have IQ scores that are normally distributed with a mean of 103.6 and a standard…

A: Given that adults have IQ scores that are normally distributed with, Mean = 103.6 Standard deviation…

Q: Find the probability that a randomly selected year of rain in Sydney, Australia has a yearly…

A: Given Population mean μ=137, population standard deviations σ=69, Let X be the rain in Sydney Note:…

Q: An elevator has a weight capacity of 2000 pounds. Assume the weights of us men have a mean of 190…

A: The probability the elevator will be over capacity is obtained below:From the given information X…

Q: Suppose that heights of women in Utah are normally distributed with a mean of 74 inches and a…

A:

Q: The following payoff table shows profits associated with a set of 3 alternatives under 2 possible…

A:

Q: The average chef at a restaurant earns $17 an hour with a deviation of $1.75. What are the chances…

A:

Q: Find the probability that a single randomly selected salary that doesn't exceed 181000 dollars.…

A: The random variable X is defined as the salary for graduates which follows normal distribution with…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: A recent study found that 69% of all adults over 50 wear sunglasses for driving. In a random sample…

A: Formula : Mean = np Standard Deviation  :

Q: The average person uses 130 gallons of water daily. If the standard deviation is 35 gallons , find…

A: Given that, Mean = 130 Standard deviation = 35 Sample size = 25

Q: The IQ of highschool seniors is normally distributed with a mean of 100 and a standard deviation of…

A: The sample size is n=15. The population mean is μ=100. The population standard deviation is σ=15. We…

Q: According to government data the probability that an adult was never in a museum is 11%, in a random…

A: Givenp=0.11sample size(n)=20Let "x" be the no.that were never in a…

Q: A professor knows that her statistics students' final exam scores have a mean of 79 and a standard…

A:

Q: Entry to a certain University is determined by a national test. The scores on this test are normally…

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.