Example 2:A study was conducted that found the average number of followers for a Twitter account was 707. Assume this data was normally distributed with a population standard deviation of 82. Suppose you took a random sample of 25 Twitter accounts and recorded the number of followers for each account. Use this information to answer the following questions. It can be very useful to draw a quick sketch of what the problem is asking for. a) Find the z-score that would correspond to an average of 707 Twitter followers based on the random sample of 25 accounts. b) What is the probability that the average number of followers for those 25 accounts would be greater than 800? What is the probability that the average number of followers for those 25 accounts would be between 680 and 710?

MATLAB: An Introduction with Applications
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Example 2:A study was conducted that found the average number of followers for a Twitter
account was 707. Assume this data was normally distributed with a population standard
deviation of 82. Suppose you took a random sample of 25 Twitter accounts and recorded the
number of followers for each account. Use this information to answer the following questions. It
can be very useful to draw a quick sketch of what the problem is asking for.
a) Find the z-score that would correspond to an average of 707 Twitter followers based on
the random sample of 25 accounts.
b) What is the probability that the average number of followers for those 25 accounts would
be greater than 800?
What is the probability that the average number of followers for those 25 accounts would
be between 680 and 710?
Transcribed Image Text:Example 2:A study was conducted that found the average number of followers for a Twitter account was 707. Assume this data was normally distributed with a population standard deviation of 82. Suppose you took a random sample of 25 Twitter accounts and recorded the number of followers for each account. Use this information to answer the following questions. It can be very useful to draw a quick sketch of what the problem is asking for. a) Find the z-score that would correspond to an average of 707 Twitter followers based on the random sample of 25 accounts. b) What is the probability that the average number of followers for those 25 accounts would be greater than 800? What is the probability that the average number of followers for those 25 accounts would be between 680 and 710?
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