2. In a departmental examination on statistics, the mean grade was 64 and the standard deviation was 10. If the grades are approximately normally distributed and 40 students got grades between 60 and 70, how many students took the examination?

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: If the average age of retirement for the entire population in a country is 60 years and the…

A: Empirical rule: The probability of the observation lies within 1 standard deviation of the mean,…

Q: Find the mean and standard deviation for the numbers of sleepwalkers in groups of five.

A: Given: X P(x) 0 0.175 1 0.357 2 0.318 3 0.118 4 0.028 5 0.004

Q: If the age distribution of customers at a major retail chain is thought to be bell-shaped with a…

A:

Q: How many standard deviations to either side of the mean must we go to ensure that, for any data set,…

A:

Q: 2. The mean afternoon temperature in Quezon City for the month of April is 37°C and the standard…

A: The normal distribution related problems can be solved by using the standard normal z score method…

Q: How many standard deviations to either side of the mean must we go to ensure that, for any data set,…

A:

Q: Suppose the scores of students on an exam are normally distributed with a mean of 276 and a standard…

A: X~N(μ= 276 , σ= 59 ) μ= 276 , σ= 59 Formula for Z-score Z=(X-μ)/σ

Q: In a certain distribution of​ numbers, the mean is 80 with a standard deviation of 3. At least what…

A:

Q: 7. If you made only n = 1 measurement of rack height, the standard deviation of the measurement…

A: Solution: 7. From the given information, n = 1.

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

A:

Q: Suppose that your class took a test and the mean score was 86% and the standard deviation was 4%.If…

A: It is given that the mean is 86 and standard deviation is 4.

Q: 1. On a final examination in Mathematics, the mean was 76 and the standard deviation was 5.…

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

Q: Suppose that monthly rental rates for unfurnished one-bedroom apartment in Springfield are…

A: Let X denote the monthly rental rates for unfurnished one-bedroom apartment in Springfield are…

Q: If the heights of a male youngsters are normally distributed with a mean of 60 inches and a standard…

A:

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

A:

Q: Given a population of 5000 scores with a mean of 86 and a standard deviation of 10, how many scores…

A:

Q: If the average low temperature of a winter month in Rochester, NY is 16° and the standard deviation…

A: The Chebyshev’s inequality theorem states that of the data values falls inside the k standard…

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 hypothetical distribution for a population of test scores has a mean of 60.4, a median of 62.8,…

A: According to the given information in this question We need to find standard deviation of sampling…

Q: 2. Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If the mean…

A: Given that, Suppose that in an examination, the cut-off score for passing is 75 for 200 persons. If…

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: If an entire population with μ = 60 and s = 8 is transformed into z-scores, then the distribution of…

A: Given X~N(μ,σ) population mean μ=60 population standard deviation σ=8 The formula for a…

Q: 1. The standard deviation provides an overall measurement of how much participants' scores differ…

A: Given data: The standard deviation provides an overall measurement of how much participants' scores…

Q: For a certain species of snake, the mean length of an adult is 63.4 cm with a standard deviation of…

A:

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: Consider a sample with a mean of 500 and a standard deviation of 100. What are the z-scores for the…

A: Consider that the sample mean and standard deviation of a random variable x are x̄ and s,…

Q: A company pays their employees an average of $52,500 per year. If the standard deviation for the…

A: Given : A company pays their employees an average of $52,500 per year. If the standard deviation for…

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: 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: If the average American sleeps 8 hours a night, with a standard deviation of 1 hour, and I plan on…

A:

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

A:

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: A distribution of numbers is approximately bell shaped. If the mean of the numbers is 129 and the…

A: a. The two numbers that would fall approximately between 68% of the given values are, Thus, the two…

Q: 2. If the heights of a male youngsters are normally distributed with a mean of 60 inches and a…

A:

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: If the average low temperature of a winter month in Rochester, NY is 18∘18∘ and the standard…

A: According to the Chebyshev's theorem, 1-(1/k²) of the observation fall within k standard deviation…

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: If the mean speed for a major league fast ball is 90 miles per hour and the standard deviation is 5…

A: Given Information: Mean = 90  Standard deviation = 5 Standardized score for a pitch that is 97 miles…

Q: If the average height of all women is 63.5 inches and the standard deviation is 2.5 inches,…

A:

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 70…

A: Let , X denotes  scores on a statewide standardized test .  Therefore , X - > N (mean = 70 , sd =…

Q: 4. The lowest and the highest data value of a data set are 12 and 28 respectively, then the…

A:

Q: Refer to the accompanying​ table, which describes the number of adults in groups of five who…

A: Mean :-  ∈x = ∑  ×. Px                           ∈x =…

Q: The shape of the distribution of the time required to get an oil change at a 15-minute oil-change…

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

Q: If a distribution is normal with μ = 60 and σ = 15, what proportion of the scores fall between 60…

A: If X~N(μ,σ2), then Z=X-μσ is called the standard normal variate. The mean and variance of a standard…

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

A:

Q: 3. The annual per capita consumption of ice cream (in pounds) in the Philippines can be approximated…

A:

Q: According to the Chebyshev Rule, at least 96% of all observations in any data set are contained…

A: Given Data: The percentage amount of data is: D%=96% From Chebyshev rule, The percentage amount of…

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

A: