A drug company is considering marketing a new local anesthet…

A drug company is considering marketing a new local anesthetic.  The effective time of the anesthetic the drug company is currently production has a normal distribution with a mean of 7.4 minutes with a standard deviation for 1.2 minutes.  The chemistry of the new anesthetic is such that the effective time should be normally distributed with the same standard deviation, but the effective time may be lower.  If it is the drug company will market the new anesthetic; otherwise they will continue to produce the older one.  A sample of size 36 results in a sample mean of 7.1.  A hypothesis test will be do to make the decision.  What is the p-value of the test results (answer to three decimal places eg 0.012)

A company’s monthly sales (in thousands of dollars) are assu…

A company’s monthly sales (in thousands of dollars) are assumed to be normally distributed. The marketing director wants to set a “high‑sales” bonus that is awarded only when a month’s sales are unusually high. What z‑score (i.e., how many standard deviations above the mean) corresponds to a 7.5 % chance of exceedance? In other words, how many standard deviations above the mean must a month’s sales be so that the probability of observing a larger value is ≤ 7.5 %? Answer to two decimal points.

A regional coffee chain wants to understand whether the week…

A regional coffee chain wants to understand whether the weekly number of promotional emails sent(Variable X) is related to the average daily foot‑traffic in its flagship store (Variable Y). Over the past 8 weeks the marketing team recorded the data shown below. WEEK PROMOTIONAL EMAILS SENT (X) AVG. DAILY FOOT‑TRAFFIC (CUSTOMERS) (Y) 1 12 820 2 9 745 3 15 910 4 11 790 5 13 845 6 8 720 7 14 880 8 10 770 Task Calculate the sample covariance between the number of promotional emails and the average daily foot‑traffic (report you answer to the nearest whole number, be sure to include a negative sign if appropriate).