In a certain​ city, the average​ 20- to​ 29-year old man is 69.6inches​ tall, with a standard deviation of 3.1 ​inches, while the average​ 20- to​ 29-year old woman is 64.5 inches​ tall, with a standard deviation of 3.9inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?Find the corresponding​ z-scores. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice. Round to two decimal places.  what is the z score for the man and what is the z score for the woman?

Question
Asked Sep 26, 2019
933 views
In a certain​ city, the average​ 20- to​ 29-year old man is 69.6
inches​ tall, with a standard deviation of 3.1 ​inches, while the average​ 20- to​ 29-year old woman is 64.5 inches​ tall, with a standard deviation of 3.9
inches. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman?
Find the corresponding​ z-scores. Who is relatively​ taller, a​ 75-inch man or a​ 70-inch woman? Select the correct choice below and fill in the answer boxes to complete your choice. Round to two decimal places.
 
 
what is the z score for the man and what is the z score for the woman?
check_circle

Expert Answer

Step 1

Consider a random variable X which represents the height of 20 to 29 year-old man. The average height of old man is 69.6 inches and the standard deviation is 3.1 inches.

The z- score corresponding to the man’s height of the 75-inch can be calculated as:

help_outline

Image Transcriptionclose

X- Z = 75-69.6 3.1 5.4 3.1 1.742

fullscreen
Step 2

Consider a random variable Y which represents the height of 20 to 29 year-old woman. The average height of old woman is 64.5 inches and the standa...

help_outline

Image Transcriptionclose

Y-4 Z = 70-64.5 3.9 5.5 3.9 =1.410

fullscreen

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in

Math

Statistics

Other

Related Statistics Q&A

Find answers to questions asked by student like you
Show more Q&A
add
question_answer

Q: What two characteristics of an empirical distribution can DECREASE the size of the standard error?

A: The two characteristics of an empirical distribution that can decrease the size of the standard erro...

question_answer

Q: A senior accounting major at Midsouth State University has job offers from four CPA firms. To explor...

A: According to the provided data, the F- critical value can be obtained using the F-distribution table...

question_answer

Q: Question below

A: Note:Hi, event F is missing in part (c). So, we are checking the independents of the events in parts...

question_answer

Q: It is possible to score higher than 1600 on the combined mathematics and reading portions of the SAT...

A: Define the random variable X as SAT scores.z-score:The formula for finding the z-score is given as f...

question_answer

Q: What is an example of a stratified sample? How can you tell when appropriate to use a stratified sam...

A: When the population is divided into small samples of interest then these are called strata and the s...

question_answer

Q: The manager of a computer software company wishes to study the number of hours per week senior execu...

A: (1)The hypotheses for the given problem is given below:

question_answer

Q: Number 9.

A: Consider Ann denoted as A, Bubba denoted as B, Carlos denoted as C, David denoted as D, and Elvira d...

question_answer

Q: The heights of women has a bell-shaped distribution with a mean of164 cm and a standard deviation of...

A: Let x be a height of woman that follows normal distribution with mean of 164 cm and standard deviati...

question_answer

Q: a couple has 4 children. Find out each probability. a- all girls b- exactly two girls and two boys c...

A: It is given that the couple has 4 children. That is probability of having boy or girl for each time ...