Answered

IDNLearn.com is the perfect place to get detailed and accurate answers to your questions. Get accurate and detailed answers to your questions from our knowledgeable and dedicated community members.

According to a report from a business intelligence company, smartphone owners are using an average of 17 apps per month. Assume that number of apps used per month by smartphone owners is normally distributed and that the standard deviation is 3. Complete parts (a) through (d) below. a. If you select a random sample of 25 smartphone owners, what is the probability that the sample mean is between 19.5 and 20.5

Sagot :

Let's simplify the problem using the standard normal distribution and the z-formula. First, we find the corresponding z-values for 19.5 and 20.5:

Z1 = 19.5-17 / 0.6 = 2.5/0.6 ≈ 4.167

Z2 = 20.5-17 / 0.6 = 3.5/0.6 ≈ 5.833

Then, we look up these z-values in a standard normal distribution table and find the corresponding probabilities. However, since these z-values are quite large, the probability that the sample mean is between 19.5 and 20.5 is practically zero.

Thank you for being part of this discussion. Keep exploring, asking questions, and sharing your insights with the community. Together, we can find the best solutions. Discover the answers you need at IDNLearn.com. Thank you for visiting, and we hope to see you again for more solutions.