menu
bartleby
search
close search
Hit Return to see all results

In a survey of women in a certain country (ages 20-29) the mean height was 66.8 inches with a standard deviation of 2.68 inches  Answer the following questions about the specified normal distribution.​(a) What height represents the 95th ​percentile? (b) What height represents the first​ quartile? (a) The height that represents the 95th percentile is _____  inches.    (Round to two decimal places as​ needed.)(b) The height that represents the first quartile is_____  inches.    (Round to two decimal places as​ needed.)

Question

In a survey of women in a certain country (ages 20-29) the mean height was

66.8 inches with a standard deviation of 2.68 inches 
Answer the following questions about the specified normal distribution.
(a) What height represents the 95th percentile?
(b) What height represents the first quartile?
 
(a) The height that represents the 95th percentile is _____  inches.
    (Round to two decimal places as needed.)
(b) The height that represents the first quartile is_____  inches.
    (Round to two decimal places as needed.)
check_circleAnswer
Step 1

The normal distribution:

A continuous random variable X is said to follow normal distribution with mean µ and standard deviation σ if the probability density function of X is,

fullscreen
Step 2

a.

Here the x value to the left of 95% represents the height at 95th percentile. Then the x value to the left of 95% or 0.95 proportion of the area under the distribution curve is calculated as follows:

 

fullscreen
Step 3

The value of x can be found by the Excel formula, “=NORM.INV(0.95, 66.8,2.68)”

By using the formula in Excel the x ...

Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Our solutions are written by experts, many with advanced degrees, and available 24/7

See Solution
Tagged in

Math

Statistics

Related Statistics Q&A

Find answers to questions asked by student like you

Show more Q&A add
question_answer

Q: What happens to the variance when outliers are eliminated replaced by values closer to the mean

A: Introduction:Mean:Mean is an important measure of center when the data is quantitative. Mean of a da...

question_answer

Q: 13.) Seventy three percent of drivers carry jumper cables in their vehicles. For a random sample of ...

A: The probability that a driver carry jumper cables in the vehicle (p) is 0.73.Sample size (n) = 315Le...

question_answer

Q: The Toylot company makes an electric train with a motor that it claims will draw an average of only ...

A: The provided information are:

question_answer

Q: Test the hypotheses of Ho: sigma is equal to 0.56 versus Ha: sigma not equal to 0.56 using a 5% sign...

A: According to the given question, to test the hypothesis of H0: sigma is equal to 0.56 versus Ha: sig...

question_answer

Q: You are given the sample mean and the population standard deviation. Use this information to constru...

A: Confidence interval:The formula of confidence interval for the population mean when population stand...

question_answer

Q: A physician wants to test if temperature has an effect on heart rate. In order to do this, she compa...

A: In this question, it has been given,Test Statistics = 5.627Level of significance = 0.05Rejection Reg...

question_answer

Q: Using the table below, determine the critical value or values for a hypothesis test for a proportion...

A: It is provided that the test is right tailed and the significance level is 1%.So, the critical value...

question_answer

Q: Blank are more representative of a population, but blank are easier to obtain

A: The sample is a set of units that is obtained from a population, which represents the population. Th...

question_answer

Q: Suppose x has a distribution with μ = 60 and σ = 17. (a) If random samples of size n = 16 are select...

A: Note:Hi there! Thank you for posting the question. The Part (b) of your question asks about the “x d...

Sorry about that. What wasn’t helpful?