The heights of adult men in America are normally distributed, with a mean of 69.2 inches and a standard deviation of 2.69 inches. The heights of adult women in America are also normally distributed, but with a mean of 64.6 inches and a standard deviation of 2.57 inches. a. If a man is 6 feet 3 inches tall, what is his z- score (to 4 decimal places)? Z = b. If a woman is 5 feet 11 inches tall, what is her z- score (to 4 decimal places)? Z = c. Who is relatively taller? The 6 foot 3 inch American man The 5 foot 11 inch American woman

Q: a successful basketball player has a height of 6 feet 9 inches, or 206 cm. Based on statistics from…

A: Given,           Z -score=4.45           A basket ball player has a height of  6 feet 9…

Q: Raul received a score of 73 on a history test for which the class mean was 70 with a standard…

A: Here we need to find the z score and for that, we have to use the formula z = Value-meanStandard…

Q: A population has mean 49 and standard deviation 5. What is the data value that has a z-score of 2?…

A:

Q: A successful basketball player height is 203 cm. His converts to the z score of 4.10. How many…

A: Consider, X = 203  z-score = 4.10 z-score is a numerical value that tells the number of standard…

Q: A successful basketball player has a height of 6 feet 2 ​inches, or 188 cm. Based on statistics from…

A: Given the Z score of height of basket ball player is 1.95. The original height of the basket ball…

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: he cost of laptops is normally distributed with a mean of $750 and a standard deviation of $60. What…

A: GivenMean(μ)=750standard deviation(σ)=60

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ)= 79,…

Q: Angela polled her first grade class about their family pets. The following data lists the number of…

A:

Q: A national achievement test is administered annually to 3rd graders. The test has a mean score of…

A: The formula of Z score is ,  z = x - μσ

Q: The heights of a 10 year old American children are normally distributed with a mean height of 4 feet…

A: Given, Mean m = 51 Standard deviation sigma = 4.25

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: The distribution of head circumference for full term newborn female infants is approximately normal…

A: The distribution of head circumference for full-term newborn female infants is approximately normal…

Q: The weekly mean income of a group of executives is $1,000 and the standard deviation of this group…

A:

Q: A successful basket ball player has a height of 6 feet 4 inches. Based on statistics his height…

A: As given, The basketball player has a height of 6 feet 4 inches and when his height is converted to…

Q: In an IT Certification Examination, the mean was 75 and the standard deviation was 5. If Pam z…

A: Let X be the examination score from normal distribution with mean (μ) = 75, standard deviation (σ) =…

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

A:

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

A:

Q: The Acme Company manufactures widgets. The distribution of widget weights is bell shaped. The widget…

A: X has distribution of widget weights is bell shaped. mean(μ)=40 ounces  and   standard…

Q: Use Z scores to compare the given values. The tallest living man at one time had a height of 232 cm.…

A: From the provided information, Mean (µ) = 171.93 cm Standard deviation (σ) = 5.98 cm Let X be a…

Q: Which student received the highest grades from the quizzes?

A: here given , Jasmine, Jamal, and Jessa all got the same mean grade (2.7) on their quizzes last…

Q: The mean grade of Adrian in the final examination in mathematics was 85 and the standard deviation…

A: 1) Given that: Mean for mathematics = 85 Standard Deviation for mathematics = 7 Mean for science =…

Q: The mean height of Americans in 1776 was 67 inches with a standard deviation of 3 inches.  George…

A: Given,mean(μ)=67 inchesStandard deviation(σ)=3 inches   Empirical rules:1) P(μ-σ<X<μ+σ)=68%2)…

Q: A police radar gun is used to measure the speed of cars on a highway. The speeds of cars are…

A: According to empirical rule also known as 68-95-99.7 rule.

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

A:

Q: a quantitative data set has mean 25 and standard deviation 5. what percentage of the observations…

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: what is the z score for a person who received an SAT mathematics score of 685?

A: Here Given, The mean mathematics score for seniors who took the SAT in 2018 was 531. If the standard…

Q: The heights of 10 year old American children are normally distributed with a mean height of 4 feet…

A: X follows a Normal distribution with mean = 53 and S.D = 4.25 Then z=(x-mean)/SD = (x-53)/4.25…

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: Find the standard deviation for this data set. if a one goal hockey game was added to this data set,…

A: From the plot representing the number of goals scored per game, there are three games in which three…

Q: Use z scores to compare the given values.   The tallest living man at one time had a height of 245…

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