mean number of hours students studied each day was 4 with a standard deviation of 1.5 hours. The distribution was normal. What proportion of students studied 6 hours or more per day? What proportion of students studied 2 hours or more per day? How many hours would an individual at the 60th percentile rank study?

Q: Why is the standard deviation preferable to the range as a measure of variation?

A: A range is the most common and easily understandable measure of dispersion. It is the difference…

Q: On a final  examination in mathematics , the mean was 72  and standard deviation was 15 . Determine…

A: given information: μ=72σ=15x=65 we want to determine the z score . z=x-μσ  =65-7215  =-0.4667

Q: In another company, every worker received a 5% raise. How does this affect the mean salary? The…

A: Every worker received a 5%. The mean defines that the center or average of the data and it is…

Q: The mean for a data set is 75, the standard deviation is 4, and the z score is -0.19, what is the…

A: We have given that,  From the normal distribution with mean (mu) = 75 and standard deviation (sigma)…

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Given that Mean = 6.9 and Standard deviation = 1.5 Formula z = (x - mean)/ SD

Q: The time it takes a computer repair company to diagnose a computer follows a normal distribution…

A: Given data  X = time taken for computer repair company to diagnose a computer μ=50   σ=12…

Q: The distribution of the cost of a family’s dine-out meal has a mean of $55.30 and a standard…

A: Given ,Mean μ=$55.30Standard deviation σ=$4.00

Q: The annual per capita consumption of bottled water was 30.2 gallons. Assume that the per capita…

A: Given information- Population mean, µ = 30.2 gallons Population standard deviation, σ = 13 gallons…

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Introduction: Denote the random variable, Denote X as the number of hours of sleep on a weeknight.…

Q: On a final examination in Biology, the mean was 75 and the standard deviation was 12. What is the…

A: Given problem Given that   On a final examination in Biology,  The mean was = μ = 75 The standard…

Q: The cruising altitudes for the fleet of one commercial airliner are normally distributed with a mean…

A: It is given that the mean is 34,950 and the standard deviation is 1,800.

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Given Let X : The average hours of sleep on a weeknight mean = μ= 6.9  standard deviation = σ= 1.5…

Q: In 2019, the amount of money that motorists spent on gas had a normal distribution with a mean of…

A: Given Information Number of persons sampled (n) = 2400 Mean (µ) = 900 Standard deviation(σ) = 100…

Q: A successful basketball player has a height of 6 feet 11 inches, or 211 cm. Based on statistics from…

A:

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches and a…

A:

Q: For a social club, the members had a mean age of 68 and a standard deviation of 10 years.  What is…

A: The mean is 68 and the standard deviation is 10.

Q: What is the percentile rank of the score 65?   In an English test , the mean is 60 and the…

A: Given X=65μ=60σ=6

Q: In a normally distributed data set of how long customers stay in your store, the mean is 43.5…

A: Given data Mean μ = 43.5 Standard deviation σ = 3.9 95% of your customers to stay in your store.…

Q: The typical college freshman spends an average of ?=150minutes per day, with a standard deviation of…

A: Solution: Let X be the time on social media. From the given information, X follows normal…

Q: The mean test score for a history test is 63 with a standard deviation of 9. The mean test score for…

A: It is given that the mean test score and standard deviation for history test are 63 and 9, the mean…

Q: The typical college freshman spends an average of ?=150 minutes per day, with a standard deviation…

A: Solution: Let X be the time on social media. From the given information, X follows normal…

Q: The mean height of a population of men is 70.8 inches and the standard deviation is 3.2 inches. What…

A:

Q: a set of piano prices are normally distributed with a mean of 3000 dollars and a standard deviation…

A:

Q: The average hours of sleep on a weeknight was 6.9 hours with a standard deviation of 1.5 hours. What…

A: Let, X= The number of hours of sleep on a weeknight. μ=6.9, standard deviation=σ=1.5 We want to…

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

A: Given, Mean = μ = 20Standard deviation = σ = 4       To find, P (X > 28) = ?

Q: In a recent study, the serum cholesterol levels in men were found to be normally distributed with a…

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

Q: The prices of all college textbooks follow a bell-shaped distribution with a mean of $108 and a…

A: HERE GIVEN FOR BELL SHAPED DISTRIBUTION  MEAN=$108 S.D=$21

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: The advertised weight is 2.13 ounces , the mean is 2.2 ounces and the standard deviation is 0.04…

A: P(X < 2.13) = = P(Z < -1.75)= 0.0401 or 4.01%

Q: The heights of people are normally distributed with a mean of 86 inches and a standard deviation of…

A: X follows a Normal distribution with mean = 86 and S.D = 5 Then z=(x-mean)/SD = (x-86)/5  follows…

Q: The daily water usage per person in Davao City is normally distributed with a mean of 18 gallons and…

A: Given information: Let X be the random variable denoting the daily water usage per person in Davao…

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

A:

Q: A successful basketball player has a height of 6 feet 77​inches, or 201201 cm. Based on statistics…

A: Given information- Height of a player = 201 cm Z-score = 3.743 We know that standard height is given…

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: The distribution of heights of adult American men is approximately normal with a mean of 69 inches…

A: Let, X=the heights of adult American men Given that X follows a normal distribution with mean=69 and…

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Given that the mean is 35 minutes and standard deviation is 12 minutes. That is, μ=35 and σ=12 Let…

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

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

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

A: Given data,Mean μ=20sd     σ=9

Q: The annual per capita consumption of bottled water was 33.3 gallons. Assume that the per capita…

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

A:

Q: A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics…

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: A researcher in Des Moines, Iowa sampled 56 households and found the mean number of puppies per…

A: # sample size n=56  population mean mu=3.03  standard deviations=1.5  then to find 62nd percentile…

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: A successful basketball player has a height of 6 feet 4 ​inches, or 193 cm. Based on statistics from…

A:

Q: The mean for data set is 59, the standard deviation is 4, and the z- score is 0.03, what is the raw…

A: Here given that the mean =59, standard deviation=4, z score=0.04, we need to find the raw score x.

Q: The scores for all high school seniors taking the verbal section of the Scholastic Aptitude Test…

A: Given distribution is bell shaped. In bell shaped distribution mean, median and mode are equal.…

Q: The daily water usage per person in Davao City is normally distributed with a mean of 20 gallons and…

A: Given that, Mean = 20 Standard deviation = 5

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

A: Given, mean(μ)=28standard deviation(σ)=6 Let x=no.of hours of study