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. The times that a cashier at the squirrel hill Giant Eagle spends totaling each person’s groceries are independent variables with a mean of 3.1 minutes and a standard deviation of 2.5 minutes. What is the approximate probability that it will take less than 5 hours to process the purchases of 100 customers?

A survey determines that mint chocolate chip is the favorite ice cream flavor of 6% of consumers. An ice cream shop determines that of 260 customers, 20 customers stated their preference for mint chocolate chip.

Find the P-value that would be used to determine if the percentage of customers who prefer mint chocolate chip ice has increased at a 5% level of significance.

A medical doctor wishes to test the claim that the standard deviation of the systolic blood pressure of deep sea divers is greater than 450. To do so, she selected a random sample of 25 divers and found s = 468.

Assuming that the systolic blood pressures of deep sea divers are normally distributed, the doctor would perform a chi-square test to test her research hypothesis. In that case, what is the test value that she would compute.

A statistician wishes to test the claim that the standard deviation of the weights of firemen is less than 25 pounds. To do so, she selected a random sample of 20 firemen and found s = 23.2 pounds.

Assuming that the weights of firemen are normally distributed, if the statistician wanted to test her research hypothesis at the .05 level of significance, what is the critical value?

Find f'(x) for f(x)= x^e^x

For the function f(x)= x^2 ln(x). Find the intervals of concavity and inflection points

Differentiate f(x)= e^x/x^2

for the funcion f(x)= e^x/x^2. Find the intervals of increase and decrease. Find the local maximum and minimum points

What is the area of the triangle below? Use sin 40 = 0.64.

slanted side: 22, bottom:29, inside corner: 40

A. 200.11

B. 202.61

C. 204.16

D. 224.61

The legs of a right triangle measure 120 ft and 220 ft. What is the area of the triangle?

A. 13,200 ft^2

B. 122,000 ft^2

C. 26,400 ft^2

D. 24,600 ft^2

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