Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distributed with a mean of 100 and a standard deviation of 15.

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: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

A: In a college class, the average IQ is 115. Assume that the distribution is normal and that the…

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: 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: In a population with mean 50 what standard deviation score would have a score of X=45

A:

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

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose the people living in a city have a mean score of 35 and a standard deviation of 10 on a…

A: Heh there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

Q: John beale of stanford, ca, recorded the speeds of car driving past his house, where the speed limit…

A: Standardized z-score:   The standardized z-score represents the number of standard deviations the…

Q: Suppose The total daily carbohydrate intake and for all boys age 13 and 15 years old in the US is…

A: Let x be the daily carbohydrate intake for all boys age 13 and 15 years old in the US which follows…

Q: Suppose you were told you scored two standard deviation below the mean on a measure where the main…

A:

Q: Suppose that the scores on a statewide standardized test have a bell shape distribution with a mean…

A: Given that Mean = 79,s.d=6 (b) P(X>97 )=? (c) P(X<73) =? (d)P(61<x<85) =?

Q: You want to know the percentage of utility companies that earned revenue less than 39 million or…

A: Given data You want to know the percentage of utility companies that earned revenue less than…

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

A: Topic- Probability

Q: On a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark was 36%…

A: Given that on a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark…

Q: If the mean is 8, then the mean absolute deviation of the scores 10 9 3 8 10 is?

A: Given mean (μ) = 8 Then Mean Absolute Deviation is given by  1n∑xi-μ

Q: A line for tickets to a broadway show had a mean waiting time of 20 minutes with a statistic…

A: Given: Mean,  μ=20 Standard deviation, σ=5 Sample size, n= 200 Use normal approximation here, the…

Q: According to the Nielsen Company, the mean number of TV sets in a U.S. household in a recent year…

A:

Q: Suppose that the scores on a statewide standardized test have a bell shape distribution with a mean…

A: Let X be the random variable from normal distribution with mean (μ) = 80 and standard deviation (σ)…

Q: Given that the mean for a data set is 24.8 and the standard deviation is 2.3, find the z-score of…

A: It ia given that Mean = 24.8 SD = 2.3 Value X = 27

Q: A large normally distributed population has a mean of 502 and a standard deviation of 25. If the…

A:

Q: (c) If the standard deviation remains at 0.5 ounce, what must the mean weight be for the company to…

A: Givenstandard deviation(σ)=0.5x=13 ounces

Q: In a normally distributed data set a mean of 55 where 95% of the data fall between 47.4 and 62.6,…

A:

Q: Soum that the red blood cell counts of women are normally distributed with a mean of 4.577 million…

A: Solution: Let X be the red blood cell counts of women. From the given information, X follows normal…

Q: Assume the test scores in your class are normally distributed with a mean of 84. You scored a 96,…

A: Given: mean = 84.

Q: Suppose​ 30% of the people in your town talk on their cell phones and drive at the same time. If you…

A: we have to find standard deviation.

Q: 4. Assume that the test scores from a college admission test are normally distributed with a mean of…

A: Given  μ= Mean of test score from a college admission test = 450 σ= Standard deviation of test score…

Q: for a population with a standard deviation of 10 and mean of 100, draw a bell shaped curve, marking…

A: We have to draw bell shaped curved and marking location of the mean and standard deviation..

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: For a random sample of 10 men, the mean head circumference is x-bar= 57.3 cm and the sample standard…

A:

Q: 2. In a particular normally distributed set of scores, the mean is 65.75 and thestandard deviation…

A: As per the honor code, We’ll answer the first question since the exact one wasn’t specified. Please…

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: Assume that a nomral distribution has a mean of 22 and a standard deviation of 7. What percentage of…

A:

Q: The mean grade of in the final examination in Mathematics was 85 and the standard deviation was 7.…

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

Q: (O) What is the standard deviation of a distribution that has a mean of 46.2 if a PERFORMANCE value…

A: From the provided information, Mean (µ) = 46.2 Performance value (x) = 28 Z score = -1.24

Q: The scores of 800 students in a 100-item exam resemble a normal distribution with a mean of 78 and a…

A: Let X be the random variable from Normal distribution with mean (µ) = 78, standard deviation (σ) = 8…

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: Suppose that vehicle speeds at an interstate location have a normal distribution with a mean equal…

A: The random variable vehicle speed follows normal distribution. The population mean is 70. The…

Q: Suppose you have already calculated the mean, the average deviation, and the standard deviation of…

A: (a) Condition for Average Deviation: If the value of the observation is increased or decreased by 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: 3. The annual per capita consumption of ice cream (in pounds) in the Philippines can be approximated…

A:

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: A successful basketball player has a height of 6 feet 3 ​inches, or 191 cm. Based on statistics from…

A: Given,a basketball player has a height of 6 feet 3 inchesand the Z-score =2.31

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 60…

A:

Q: me mean is 225 and the standard deviation is 28 for a normally distributed variable, what is the x…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

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: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 68…

A: As per our guideline we are supposed to answer only  3 sub-parts of any question

Q: In a distribution with a mean of 80 and a standard deviation of 8, what percentage of number would…

A: a. The mean is 80, and standard deviation is 8. The percentage of number would be less than 64 or…