Suppose that the distribution of scores on an exam is mound shaped and approximately symmetric. The...

50.1K

Verified Solution

Question

Statistics

Suppose that the distribution of scores on an exam is moundshaped and approximately symmetric. The exam scores have a mean of110 and the 16th percentile is 85. (Use the Empirical Rule.)
(a)
What is the 84th percentile?
(b)
What is the approximate value of the standard deviation of examscores?
(c)
What is the z-score for an exam score of 90?
(d)
What percentile corresponds to an exam score of 160?
%
(e)
Do you think there were many scores below 35? Explain.
Since a score of 35 isÂ Â ---Select--- one standarddeviation two standard deviationsÂ Â three standarddeviationsÂ Â below the mean, that corresponds to apercentile ofÂ Â %. Therefore, therewereÂ Â ---Select--- many few scores below 35.

Answer & Explanation Solved by verified expert

3.7 Ratings (313 Votes)

Before I answer your question let me define what empirical rulemeansThe empirical rule states that for a normal distribution nearlyall the data will fall within three standard deviation from themean68 of data falls within one standard deviation from themean95 of data falls within two standard deviation from See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member