You are given the following information obtained from a random sample of 5 observations. Assume the population has a normal distribution.

20 18 17 22 18

You want to determine whether or not the mean of the population from which this sample was taken is significantly less than 21.

a. State the null and the alternative hypotheses.
b. Compute the standard error of the mean.
c. Determine the test statistic.
d. Determine the p-value and at 90% confidence, test whether or not the mean of the population is significantly less than 21.

How many different ways can you make change for $.50 using only nickels,dimes, and quarters?

You drop a rubber ball off the roof of a 50 meter high building onto a paved parking lot. it bounces back up with every bounce, but not quite all the way back up to you. after the first bounce it bounces back only 80 percent of the distance it was dropped from. the pattern continues, meaning after every bounce it comes up to just 80 percent of the previous maximum height. so if before the first bounce the height is 50 meters, what height does the ball reach after the fifth bounce? round your answer to one decimal place and chose the correct response from the choices below:

Cameron indoor stadium at duke university is one of the most revered sites in all of college basketball, as well as in all of sports period. duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. cameron indoor stadium is capable of seating 9,460 people. for each game, the amount of money that the duke blue devils’ athletic program brings in as revenue is a function of the number of people in attendance. if each ticket costs $45.50, find the domain and range of this function.