Question

A researcher wants to know the average height of American men over age 20. The researcher...

A researcher wants to know the average height of American men over age 20. The researcher measures the height of 784 men randomly selected from this age group and finds that their average height is 170 centimeters (cm) with a standard deviation of 8 cm. Construct a 95% CI of the average height of all American men in this age group (hint: we know the sample mean, and we are looking for likely values of the population mean).

A.

(167.397, 173.934)
B.

(170.001, 172.987)
C.

(168.534, 171.696)
D.

(169.429, 170.571)
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

We have given that,              
              
Sample mean =170      
Population standard deviation=8  
Sample size=784      
Level of significance =1-0.95=0.05      
Z critical value (by using Z table)=1.96      

D.

(169.429, 170.571)
0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Average height of men is normally distributed with mean height of 160 cm and standard deviation...
Average height of men is normally distributed with mean height of 160 cm and standard deviation of 5 cm. If a sample of 9 men are randomly selected from this population, find the probability that the mean is between 155 cm and 160 cm. Question 20 options: 0.3412 0.50 0.0013 0.4987 0.5821
The owner of a local golf course wants to estimate the difference between the average ages...
The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He randomly samples 12 men and 10 women that play on his course. He finds the average age of the men to be 30.81 with a standard deviation of 5.071. The average age of the women was 46.19 with a standard deviation of 11.982. Construct a 95% confidence interval to estimate the difference of...
A researcher wants to assess if there is a difference in the average age of onset...
A researcher wants to assess if there is a difference in the average age of onset of a type of kidney disease for men and women. Let the population 1 mean be the average age of onset for women and the population 2 mean be the average age of onset for men. A random sample of 27 women with the disease showed an average age of onset to be 81 years, with a sample standard deviation of 13.5 years. A...
The owner of a local clothes shop wants to know if there is a difference between...
The owner of a local clothes shop wants to know if there is a difference between the average ages of males and females customers. He randomly samples 42 men and 44 women customers this month. He finds the average age of the men to be 29.07 with a standard deviation of 5.343. The average age of the women was 32.68 with a standard deviation of 9.656. Is there evidence of a difference between the mean ages for 2 genders?
The owner of a local golf course wants to estimate the difference between the average ages...
The owner of a local golf course wants to estimate the difference between the average ages of males and females that play on the golf course. He randomly samples 30 men and 26 women that play on his course. He finds the average age of the men to be 49.844 with a standard deviation of 5.208. The average age of the women was 35.237 with a standard deviation of 5.573. He uses this information to calculate a 95% confidence interval...
In a survey of a group of men, the heights in the 20-29 age group were...
In a survey of a group of men, the heights in the 20-29 age group were normally distributed, with a mean of 69.7 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts (a) through (d) below. (b) Find the probability that a study participant has a height that is between 68 and 70 inches. The probability that the study participant selected at random is between 68 and 70 inches tall is
In a survey of a group of​ men, the heights in the​ 20-29 age group were...
In a survey of a group of​ men, the heights in the​ 20-29 age group were normally​ distributed, with a mean of 68.3 inches and a standard deviation of 4.0 inches. A study participant is randomly selected. Complete parts​ (a) through​ (d) below. ​ (a) Find the probability that a study participant has a height that is less than 65 inches. The probability that the study participant selected at random is less than 65 inches tall is (......). ​(Round to...
The mean height of adult men is about 175 centimeters (cm) with standard deviation 7 cm....
The mean height of adult men is about 175 centimeters (cm) with standard deviation 7 cm. The mean height of adult women is about 160 cm with standard deviation 6 cm. If a man and a woman are both 166.5 cm tall, which person’s height is more rare with respect to other people of the same sex? How do you know? 8. Public health statistics indicate that 26% of adults in the US smoke cigarettes. (a) Sketch the sampling distribution...
9. A researcher wants to know if calcium is an effective treatment for lowering blood pressure....
9. A researcher wants to know if calcium is an effective treatment for lowering blood pressure. He assigns one randomly chosen group of subjects to take calcium supplements; the other group will get a placebo. At the end of the treatment period, he measures the difference in blood pressure. The 50 members of the calcium group had blood pressure lowered by an average of 25 points with standard deviation 10 points. The 50 members of the placebo group had blood...
Cholesterol level ~ Cholesterol level tends to increase with age in both women and men. A...
Cholesterol level ~ Cholesterol level tends to increase with age in both women and men. A medical researcher wants to use statistical inference to determine if average cholesterol level for women over 60 years is lower than men over 60 years. She randomly samples 110 women and 120 men who are over 60 years. The summary statistics are given in the table below in mg/dL. Give all answers to four decimals. Population/Group Gender Mean Cholesterol Level Standard Deviation 1 Women...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT