A manufacturer knows that their items have a normally distributed length, with a mean of 5.5 inches, and standard deviation of 1.4 inches. If one item is chosen at random, what is the probability that it is less than 5 inches long? (Leave your answer to 4 decimal places)

Recall that the owner of a local health food store recently started a new ad campaign to attract more business and wants to know if average daily sales have increased. historically average daily sales were approximately $2,700. the upper bound of the 95% range of likely sample means for this one-sided test is approximately $2,843.44. if the owner took a random sample of forty-five days and found that daily average sales were now $2,984, what can she conclude at the 95% confidence level?