At Northwest Nursing School, the average score a student must make on and entrance exam is 142 points with a standard deviation of 16 points.  If the nursing school can only accept the top 15% of the applicants, what is the cutoff score a nurse must make to be considered for this school?

The blue catfish (Ictalurus Furcatus) is the largest species of North American catfish. The current world record stands at 143 pounds, which was caught in the John H. Kerr Reservoir (Bugg's Island Lake) located in Virginia. According to American Expedition, the average weight of a blue catfish is between 20 to 40 pounds. Given that the largest blue catfish ever caught was at the John H. Kerr Reservoir, you believe that the mean weight of the fish in this reservoir is greater than 40 pounds. Use the data below, which represents the summary statistics for 42 blue catfish caught at this reservoir, and a 0.05 significance level to test the claim that the mean weight of the fish in the John H. Kerr Reservoir is greater than 40 pounds. n=42;  ¯x=40.46 pounds;  s=2.55 pounds Identify the null and alternative hypotheses?H0H0:        H1H1: Identify the appropriate significance level. Calculate your test statistic. Write the result below, and be sure to round your final answer to two decimal…

A statistics department consisting of 27 faculty has a median salary of 54000. One of the senior faculty with a salary of 74000 retired from the department and was replaced by a new faculty with a salary of 76000. What can you say about the median salary of the current faculty? Not enough information to draw any conclusion The median will remain unchanged. The median will decrease The median will increase.

Two teachers have a friendly rivalry. They want to know which of their students did better on their respective final exams. The first teacher teaches chemistry and her 49 students had a mean = 68. The national mean and standard deviation for this exam is 65 and 10, respectively. The second teacher teaches history and his 64 students had a mean = 72. The national mean and standard deviation for this exam is 70 and 7, respectively. Taking into account the average performance of students on chemistry and history exams nationwide, which teachers' students did better on their respective final exams?