EXAM K Question 1 of 24 This test: 37 point(s) possible This question: 2 point(s) possible Submit test The height of women ages 20-29 is normally distributed, with a mean of 64.2 inches. Assume $\sigma$ = 2.3 inches. Are you more likely to randomly select 1 woman with a height less than 65.1 inches or are you more likely to select a sample of 30 women with a mean height less than 65.1 inches? Explain Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. What is the probability of randomly selecting 1 woman with a height less than 65.1 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 30 women with a mean height less than 65.1 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 65.1 inches or are you more likely to select a sample of 30 women with a mean height less than 65.1 inches? Choose the correct answer below. A. It is more likely to select a sample of 30 women with a mean height less than 65.1 inches because the sample of 30 has a higher probability. B. It is more likely to select 1 woman with a height less than 65.1 inches because the probability is higher. C. It is more likely to select 1 woman with a height less than 65.1 inches because the probability is lower. D. It is more likely to select a sample of 30 women with a mean height less than 65.1 inches because the sample of 30 has a lower probability.
Added by Michelle T.
Close
Step 1
1 inches. - Mean (\(\mu\)) = 64.2 inches - Standard deviation (\(\sigma\)) = 2.3 inches - Height = 65.1 inches Calculate the z-score: \[ z = \frac{X - \mu}{\sigma} = \frac{65.1 - 64.2}{2.3} \approx 0.3913 \] Use the z-table to find the probability corresponding Show more…
Show all steps
Your feedback will help us improve your experience
Willis James and 89 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
The height of women ages 20-29 is normally distributed, with a mean of 64.6 inches. Assume sigma σ equals = 2.9 inches. Are you more likely to randomly select 1 woman with a height less than 65.8 inches or are you more likely to select a sample of 29 women with a mean height less than 65.8 inches? Explain. What is the probability of randomly selecting 1 woman with a height less than 65.8 inches? (Round to four decimal places as needed.) What is the probability of selecting a sample of 29 women with a mean height less than 65.8 inches? (Round to four decimal places as needed.) Are you more likely to randomly select 1 woman with a height less than 65.8 inches or are you more likely to select a sample of 29 women with a mean height less than 65.8 inches? Choose the correct answer below. A. It is more likely to select 1 woman with a height less than 65.8 inches because the probability is higher. B. It is more likely to select a sample of 29 women with a mean height less than 65.8 inches because the sample of 29 has a higher probability. C. It is more likely to select a sample of 29 women with a mean height less than 65.8 inches because the sample of 29 has a lower probability. D. It is more likely to select 1 woman with a height less than 65.8 inches because the probability is lower.
Sri K.
The height of women ages 20-29 is normally distributed, with a mean of 64.7 inches. Assume sigma equals 2.7 inches. Are you more likely to randomly select 1 woman with a height less than 66 inches or are you more likely to select a sample of 30 women with a mean height less than 66 inches? Explain. What is the probability of randomly selecting 1 woman with a height less than 66 inches? What is the probability of selecting a sample of 30 women with a mean height less than 66 inches? Are you more likely to randomly select 1 woman with a height less than 66 inches or are you more likely to select a sample of 30 women with a mean height less than 66 inches? Choose the correct answer below. A- It is more likely to select 1 woman with a height less than 66 inches because the probability is higher. B- It is more likely to select 1 woman with a height less than 66 inches because the probability is lower C- It is more likely to select a sample of 30 women with a mean height less than 66 inches because the sample of 30 has a higher probability D- It is more likely to select a sample of 30 women with a mean height less than 66 inches because the sample of 30 has a lower probability.
Kari H.
Carly S.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD