Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale. Suppose the distribution follows a normal curve with a mean of 3.40 and a standard deviation of 1.47."

Q: Would a person spending $476 on their car be considered usual or unusual if the amount spent by the…

A: Given information- Population mean µ = $347 Population standard deviation, σ = $39.58 Let, X be the…

Q: The data set has size 60. Approximately how many observations lie within three standard deviations…

A: From the empirical rule

Q: If a sample has a mean of 250 and a standard deviation of 15, what is the value in the data set that…

A:

Q: If you know that you have data that follows a normal distribution with a mean of 75 and standard…

A: Solution: Let X be the random variable. From the given information, X follows normal distribution…

Q: According to the Empirical rules rule, if there are 500 observations in a mound shaped data set the…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

Q: Given that the mean of a data set is 20, and the standard deviation of this data set is 8, then what…

A: According to the answering guidelines, we can answer only one question at a time and the rest can be…

Q: In a normally distributed data set with a mean of 24 and a standard deviation of 4.2, what…

A:

Q: According to Chebyshev's rule, within 10 standard deviations from the mean, lies at least of any…

A: Given Information: According to Chebyshev's rule, within 10 standard deviations from the mean, lies…

Q: Given that a set of scores have a normal distribution, a mean of 74, and a standard deviation of 5:…

A:

Q: A sociologist found that in a sample of 50 retired men, the average number of jobs they had during…

A: Given that  Sample size=50 , Mean=6.9 Population Standard deviation=2.3

Q: Given a normal distribution with a standard deviation of 14, what is the mean if 40% of the values…

A: We know that; X~Normal(μ,σ2) ⇒Z=X-μσ~Normal(0,1) Let X be the random variable with a normal…

Q: Given the mean of a normally distributed data set is 25, with  standard deviation of 5, what percent…

A: We will standardize the normal variable and then use standard Normal table to find the required.

Q: For a population with a standard deviation of 20, what is the zscore corresponding to a score that…

A: The population standard deviation is 20. The z-score corresponding to a score that is 5 points below…

Q: Assume that the mathematics scores on the SAT are normally distributed with a mean of 500 and a…

A: Topic- Probability

Q: 9) In a class of 30 students, how many students failed the test (below 64), if the mean grade on a…

A:

Q: If the average score on a statistics exam was 76, and the standard deviation was 7, what can you…

A: Given : The average score on a statistics exam was 76, and the standard deviation was 7

Q: A normal distribution has a mean of 60 and a standard deviation of 20. Barbara's score is 40. What…

A: It is given that the Normal distribution has a mean 60 and a standard deviation of 20.  Suppose X be…

Q: What is the difference between what the z score measures and what the standard deviation measure?

A: z score is standard score and the formula for finding z score is,

Q: A data set with roughly a bell-shaped distribution has mean 45 and standard deviation 12.…

A: The percentage of the observations lie between 33 and 57 is obtained below:Let X be an observation…

Q: On a normal distribution, four participants obtained the following deviation scores: –5, 0, +3, and…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: If a distribution of test scores is normal, with a mean of 78 and a standard deviation of 11, what…

A: Let X be a test score. Then, X ~N(78,112). Then, X~N(78,112)⇒Z=X-7811~N(0,1) a.) P[ Test score is…

Q: The college physical education department offered an advanced first aid course last semester. The…

A: Given Information: The scores on the comprehensive final exam were normally distributed, and the  z…

Q: The test scores for a very large statistics class have a bell-shaped distribution with a mean of 72…

A: We have given that  X~N(mu, sigma^2) mu = 72  Z-score =(x-mu )/sigma

Q: All the houses in Stanton county have a mean size of 1650 square feet with a standard deviation of…

A:

Q: 2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was…

A: Determine the number of students took the examinations.   The number of students took the…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 71…

A:

Q: If a normal distribution has a mean of 18.0 and a standard deviation of 1.2, what value is at the…

A: We have given that normal distribution has a mean of 18.0 and a standard deviation of 1.2.

Q: Suppose that the amount of sleep college students get per night has a symmetric, bell shaped…

A: Note: Hey, since there are multiple subparts posted, we will answer first three subparts. If you…

Q: The scores of students on an exam are normally distributed with a mean of 468 and a standard…

A:

Q: The data set has size 40. Approximately how many observations lie within two standard deviations to…

A: 68-95-99.7-rule: Let X be an observation from a normal distribution, having mean µ and standard…

Q: The percentage of observations that are contained within 3 standard deviations of the mean is O a.…

A: As per the empirical rule for normal distribution, 68%, 95%, and 99.7% of the values lie within one,…

Q: In the province of Iloilo,the set of recorded midday temperature readings for the month of February…

A: Given, 10.5% of recorded temperature readings were under 28°C, and that 33% were above 30°. The…

Q: The scores on a psychology exam were normally distributed with a mean of 59 and a standard…

A: Mean = 59 Standard deviation = 10 The formula for z is: z=x-μσ

Q: Given an approximately normal distribution with a mean of 175 and a standard deviation of 37,…

A: Given info: Here, mean is 175 and standard deviation is 37.

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 65…

A: Given information- Mean, μ = 65 Standard deviation, σ = 4 a) The percentage of scores that were…

Q: a measure of 29 inches "far away" from a mean of 19 inches? Suppose the data come from a sample…

A: We have given that  Mean=19 , standard deviation=2  X=29

Q: A biologist found the wingspans of a group of monarch butterflies to be normally distributed, with a…

A: Given,Mean (μ) = 52.2Standard deviation (σ) = 2.3a) Required probability is…

Q: In a normal distribution, if the mean is ten and the standard deviation is one, what would the…

A:

Q: Suppose that the heights of adult men in the United States are normally distributed with a mean of…

A:

Q: According to Chebyshev's Teorem, at least what percentage of snake lengths are within K= 2.9…

A: The Chebyshev’s rule states that, for any quantitative data set and any real number greater than k,…

Q: The mean IQ score for 1800 students is 90, with a standard deviation of 10. Assuming the scores have…

A:

Q: According to the Department of Education the mean number of hours college students spend studying…

A:

Q: An instructor in a large lecture class found, at the end of the semester, that the total point…

A: It is given that mean and standard deviation are 530 inches and 80, respectively.

Q: 3. In the qualifying examination for the admittance to college, the mean score was 65 and the…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Suppose that the average height of men in the United States is approximately normally distributed…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 4 X~N (70, 4) Here X be a…

Q: The data set has size 80. Approximately how many observations lie within two standard deviations to…

A: Empirical rule: On a normal distribution about 68% of data will be within one standard deviation of…

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 69…

A: Let X denote the scores on a statewide standardized test and it follows normal distribution with…

Q: If a raw score is 28 in a distribution in which the mean is 20 and the standard deviation is 2, what…

A: Given information- Population mean, µ = 20 Population standard deviation, σ = 2 We have to find the…

Q: The Fresha Tea Company pack tea in bags marked as 250 g. A large number of packs of tea were weighed…

A: Mean = 255g Standard deviation = 2.5g P(X < A) = P(Z < (A - mean)/standard deviation) P(X <…