Question

Heights of 20-year-old women vary approximately according to a Normal distribution with µ = 163.3 cm...

Heights of 20-year-old women vary approximately according to a Normal distribution with µ = 163.3 cm and σ = 6.5 cm.  

  1. Would a sample mean of 170 cm be different from the population mean at an alpha of 0.05? Be sure to give your p-value and explain.
Math   Statistics-And-Probability   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

This is the two tailed test .

The null and alternative hypothesis is

H0 : = 163.3

Ha : 163.3

Test statistic = z

= ( - ) /    / n

= (170 - 163.3) / 6.5 / 20

Test statistic = 4.61

P-value = 0.000

P-value <

Reject the null hypothesis .

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
Heights of 20-year-olds. Heights of 20-year-old men vary approximately according to a Normal distribution with µ...
Heights of 20-year-olds. Heights of 20-year-old men vary approximately according to a Normal distribution with µ = 176.9 cm and σ = 7.1 cm. (a). What is the 98th percentile for men’s height? (b). What percentage of men fall within 173 and 183 cm? (c). Would a sample mean of 170 cm be different from the population mean at an alpha of 0.05? Be sure to give your p-value and explain. (d). What is the confidence interval for the sample...
The distribution of heights of women aged 20 to 29 is approximately Normal with mean μ...
The distribution of heights of women aged 20 to 29 is approximately Normal with mean μ = 67.0 inches and standard deviation σ = 2.9 inches. (Enter your answers to one decimal place.) The height of the middle 95% of young women falls between a low of ______inches and a high of_____ inches.
The height of adult males follows approximately a normal distribution with µ = 178 cm and...
The height of adult males follows approximately a normal distribution with µ = 178 cm and σ = 7 cm. Suppose we have an i.i.d. sample of n = 20 elements from this population. a) Find the probability that the height of a particular male is between 174 cm and 180 cm. b) Find the probability that the sample mean lies between 174 cm and 180 cm.
The distribution of heights of women aged 20 to 29 is approximately Normal with mean 65.4...
The distribution of heights of women aged 20 to 29 is approximately Normal with mean 65.4 inches and standard deviation 3.6 inches. The height (± 0.1 inch) of the middle 99.7% of young women falls between a low of    inches and a high of   inches.
Assume weights of 10-year-old boys vary according to a Normal distribution with mean μ = 70...
Assume weights of 10-year-old boys vary according to a Normal distribution with mean μ = 70 pounds and standard deviation σ = 10 pounds. What percentage of this population is greater than 80 pounds?  
The heights of women aged 20 to 29 is approximately normal with mean 64 inches and...
The heights of women aged 20 to 29 is approximately normal with mean 64 inches and standard deviation 2.7 inches. What proportion of these women are less than 58.6 inches tall?
3.   The heights of women in the fictional country of Rohkia follow a Normal distribution. You’d...
3.   The heights of women in the fictional country of Rohkia follow a Normal distribution. You’d like to perform a hypothesis test to see if the average height of Rohkian women is significantly more than 61 inches.    You select 8 women at random and measure their heights (in inches), which are recorded in the table below. 61 61 62 64 67 63 64 62 a.   Find the mean and standard deviation of the heights in the sample. Use the...
The distribution of heights of 18-year-old men in the United States is approximately normal, with mean...
The distribution of heights of 18-year-old men in the United States is approximately normal, with mean 68 inches and standard deviation 3 inches (U.S. Census Bureau). In Minitab, we can simulate the drawing of random samples of size 20 from this population (⇒ Calc ⇒ Random Data ⇒ Normal, with 20 rows from a distribution with mean 68 and standard deviation 3). Then we can have Minitab compute a 95% confidence interval and draw a boxplot of the data (⇒...
The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution...
The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with mean 69.5 and standard deviation 2.9. Between what two values does the middle 91% of all heights fall? (Please give responses to at least one decimal place)
The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution...
The heights (measured in inches) of men aged 20 to 29 follow approximately the normal distribution with mean 69.4 and standard deviation 2.8. Between what two values does the middle 94% of all heights fall? (Please give responses to at least one decimal place)
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT