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A statistics instructor collected data on the time it takes the students to complete a test. The test taking time is uniformly distributed within a range of 35 minutes to 55 minutes.
a. Determine the height and draw this uniform distribution
b. How long does the typical test taking time?
c. Determine the standard deviation of the test taking time.
d. What is the probability a particular student will take less than 45 minutes?
e. What is the probability a particular student will take between 45 and 50 minutes?
The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 370 grams and a standard deviation of 15 grams. Find the weight that corresponds to each event:
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bob is selling 80 pound bags of fertilizer. the machine he uses have a standard deviation of fill equal to 1.5 pounds.
What are the minimum and the maximum starting salaries of the middle 95% of the LU graduates?
The ANOVA table is given below,as well as a table of means and standard deviations for the three groups. Evaluate the t statistic for testing contrast
Two bonus points for rigorously proving Xt and Xt+1 are not independent. Let Xt=1+et-0.5et-1, t=1,2,3,..., where et~IID N(0,2), variance of et is 2. Calculate the mean of Xt.
Let S be a random variable (not necessarily positive). Prove using Markov's inequality that for every p>0 and for every constant q,
As we can say there is 5.5 percent chance of seeing the current policy having an effect on smog in the results we observed from natural sampling variation.
Suppose prior elections in Louisiana indicated it is necessary for a candidate for governor to receive at least 80 percent of the vote in the northern part of the state to be elected.
Calculate the mean and standard deviation of the following data sets, then produce a five number summary and box plot of data.
At the time she was hired as a server, beth was told, "you can average more than $20 a day in tips." Over the first 35 days she was employed at the resturant, the mean daily amount of her tips was $24.85, with a standard deviation of $3.24.
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