# An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95 % confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation. The required sample size is ​(Round up to the nearest​ integer.)

Question
An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 95 % confidence that the sample mean is within 5 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
The required sample size is ​(Round up to the nearest​ integer.)

## Expert Answer

### Want to see this answer and more?

Experts are waiting 24/7 to provide step-by-step solutions in as fast as 30 minutes!*

*Response times vary by subject and question complexity. Median response time is 34 minutes and may be longer for new subjects.
Tagged in © 2021 bartleby. All Rights Reserved.
{"ft_lang_label":"__label__en","ft_lang_prob":0.94870865,"math_prob":0.9678086,"size":1420,"snap":"2021-04-2021-17","text_gpt3_token_len":349,"char_repetition_ratio":0.13700566,"word_repetition_ratio":0.11111111,"special_character_ratio":0.26478875,"punctuation_ratio":0.20178041,"nsfw_num_words":0,"has_unicode_error":false,"math_prob_llama3":0.992938,"pos_list":[0,1,2],"im_url_duplicate_count":[null,null,null],"WARC_HEADER":"{\"WARC-Type\":\"response\",\"WARC-Date\":\"2021-04-20T07:36:27Z\",\"WARC-Record-ID\":\"<urn:uuid:983626fb-cca6-4a67-a46d-19c6bf95ef6e>\",\"Content-Length\":\"166646\",\"Content-Type\":\"application/http; msgtype=response\",\"WARC-Warcinfo-ID\":\"<urn:uuid:13bbf523-e2e6-4432-aa32-e72a83909a8e>\",\"WARC-Concurrent-To\":\"<urn:uuid:92410d08-4fe8-427d-a794-8c54da0093d9>\",\"WARC-IP-Address\":\"13.32.200.8\",\"WARC-Target-URI\":\"https://www.bartleby.com/questions-and-answers/an-iq-test-is-designed-so-that-the-mean-is-100-and-the-standard-deviation-is-10-for-the-population-o/82887564-6f11-4968-bb90-6f8c7f8bac11\",\"WARC-Payload-Digest\":\"sha1:D5KV6LIHT4UXA644GTYCPMJIN2OGALDP\",\"WARC-Block-Digest\":\"sha1:3V6IBO7UG4CZM7RAVRM4GTTXOUQGQFPM\",\"WARC-Identified-Payload-Type\":\"text/html\",\"warc_filename\":\"/cc_download/warc_2021/CC-MAIN-2021-17/CC-MAIN-2021-17_segments_1618039379601.74_warc_CC-MAIN-20210420060507-20210420090507-00270.warc.gz\"}"}