Find the probability and interval the results. If convenient, use technology to

Question

Find the probability and interval the results. If convenient, use technology to find the probability. During a certain week the mean price of genuine was $2.754 per gallon. A random sample of 37 gas stations is drawn from this population. What is the probability that the mean price for the sample was between $2.494 and $2.719 that week? Assume sigma = $0.042. Click the icon to view page 1 of the standard normal table. Click the icon to view page 2 of the standard normal table. The probability that the sample mean was between $2.094 and $2.719 is. (Round to four decimal places as needed.)

Explanation / Answer

zlower = (2.694 - µ)/ = (2.694 - 2.714)/0.042 = -0.476190
zupper = (2.719 - µ)/ = (2.719 - 2.714)/0.042 = 0.119048

P(-0.476190 <= z <= 0.119048) = P(z <= 0.119048) - P(z <= -0.476190) = 0.5474 - 0.3170 = 0.2304 = 23.04%

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