1. A marketing research team at Optimum Nutrition is interested in knowing the proportion of Americans who exercise at least three times a week. They send out a survey asking "Do you exercise more than 3 times a week?" to over 5,000 random Americans.

Given the following scenario, is this problem a One Mean, One Proportion, Two Independent Means, or Paired Means?

Group of answer choices

a. One Mean

b. Two Independent Means

c. Paired Means

d. One Proportion

2. On average, how much is the difference in calories burned between regular and standing desks? The amount of calories that 8 employees burned was recorded by using a regular desk for a day, and then with using a standing desk. The data is recorded in the table below. Compute a 95% confidence interval for the population mean difference. (dif = standing - regular)

Group of answer choices

a. (-6.91, 10.66)

b. (-10.66, -6.91)

c. (-10.66, 6.91)

d. (6.91, 10.66)

3. A movie theater wanted to see if they could increase attendance by offering a free digital copy of a movie with ticket purchase. They randomly picked 10 different theaters to test the new program at and tested each of these theaters on two random days, once with the program and once without. The resulting attendance that was recorded is shown in the table below. Find dbar and s_d using (with-without).

Group of answer choices

a. dbar= 1.9 sd= 6.08

b. dbar= -1.9 sd= -1.14

c. dbar= 1.9 sd= -1.14

d. dbar= -1.9 sd= -6.08

Use the data below to test whether the average deposits of customers have increased since the change. Use 0.05 as the level of significance. Note that the difference in Deposits is already calculated as Increase in Deposits.

Deposit After 30.6 18.1 19.3 31.0 21.9 21.3 24.1 18.4 19.6 18.9 30.6 19.3 29.0 21.7 18.6 20.4 27.6 26.7 27.7 19.8 19.3 20.1 18.2 18.5 25.3 30.8 30.1 23.6 30.1 23.8 25.3 26.0 25.4 31.9 26.2 29.6 19.1 25.6 23.0 18.9 21.9 25.3 25.9 30.0 20.7 30.4 31.6 28.5 20.6 20.6 27.6 30.0 27.8 22.2 20.4 19.2 21.2 24.0 19.0 22.2 31.7 27.5 19.1 21.3 20.7 20.3 29.8 31.6 26.6 25.8 27.9 18.5 27.7 22.2 20.1 28.9 18.4 28.9 21.3 22.5 31.3 22.3 20.4 25.9 23.9 21.3 23.2 22.2 18.7 19.3 28.5 22.6 22.9 26.4 29.4 21.7 19.9 19.5 27.4 28.9 31.3 25.3 27.1 22.9 29.6 25.8 28.7 26.9 29.3 23.1 20.5 18.0 18.6 23.7 25.9 29.2 28.6 22.8 27.7 27.0 25.1 25.5 25.8 25.6 30.2 31.7 26.2 30.2 31.2 30.1 21.9 28.2 27.1 26.5 21.0 27.2 26.3 29.2 26.4 22.6 18.6 25.8 18.6 27.4 32.0 25.6 30.6 18.3 18.8 18.8 18.8 22.0

Increase in Deposits 4.3 -6.3 1.9 7.7 4.4 5.7 -0.2 -1.6 -1.4 4.6 15.5 -5.5 3.4 0.1 -4.1 1.3 2.7 11.1 4.8 -3.3 0.1 5.3 -1.4 4.1 -1.0 7.6 5.8 2.9 6.7 -1.6 5.6 3.9 2.5 12.5 9.7 9.5 3.8 0.1 0.0 -2.7 2.8 5.0 1.3 15.7 -3.7 5.8 13.4 2.3 1.6 -6.0 7.6 11.0 8.1 6.0 -1.8 -7.4 -4.7 7.0 -7.9 -0.1 15.4 5.6 4.7 7.2 -2.4 -4.4 12.3 11.5 8.1 6.6 6.4 3.6 9.6 -4.1 -2.5 4.8 -4.0 11.8 6.5 2.8 13.8 8.2 3.2 7.6 6.4 4.6 -0.5 4.9 2.0 -6.5 8.7 -2.9 -3.0 5.3 8.5 -2.7 -3.0 -4.5 1.8 12.5 16.6 6.0 9.5 6.2 3.5 -0.7 11.4 4.9 13.1 0.7 5.7 2.8 -7.7 0.2 4.5 14.9 2.7 -2.8 11.0 1.1 8.1 2.4 0.4 1.0 11.3 10.3 0.7 15.6 9.1 10.8 5.6 10.2 10.2 3.3 -2.3 5.1 8.6 7.1 3.5 0.3 -4.6 11.5 4.5 12.1 9.8 5.9 14.9 -7.2 -5.0 -2.2 -2.5 -4.3

A five-year bond with a yield of 7% (continuously compounded) pays a 5.5% coupon at the end of each year.

1. What is the bond’s price?
2. What is the bond’s duration?
3. Use the duration to calculate the effect on the bond’s price of a 0.3% decrease in its yield.
4. Recalculate the bond’s price on the basis of a 6.7% per annum yield and verify that the result is in agreement with your answer to (c).

Suppose a batch of metal shafts produced in a manufacturing company have a standard deviation of 1.5 and a mean diameter of 205 inches.

If 79 shafts are sampled at random from the batch, what is the probability that the mean diameter of the sample shafts would differ from the population mean by less than 0.3 inches? Round your answer to four decimal places.

The nicotine content in a single cigarette of a particular brand has a distribution with mean 0.3 mg and standard deviation 0.1 mg. If 100 of these cigarettes are analyzed, what is the probability that the resulting sample mean nicotine content will be less than 0.29? (Round your answers to four decimal places.)
P(x < 0.29) =  

Less than 0.27?
P(x < 0.27) =  

The amount of icing on a Cuppie Cake large cupcake follows a Normal distribution, with a mean of 2 ounces and a standard deviation of 0.3 ounce. A random sample of 16 cupcakes is selected every day and measured. What is the probability the mean weight will exceed 2.1 ounces?

Select one:

a. 0.9088

b. 0.3694

c. 0.0912

d. 0.6306

e. 0.075

1. What is a p-value and how is it used to make a decision about the null hypothesis?
2. How is the p-value related to the test statistic?
3. Explain whether or not rejecting the null hypothesis makes the alternative hypothesis true and why.
4. If I conduct a hypothesis testing with Type I error set at 0.05 and a resulting p-value of 0.3, what would my conclusion be?

Calculate several samples of the unit impulse and impulse responses of y(n) = -0.75 y(n–1) + x(n) – 0.3 x(n–1) – 0.4 x(n-2).

Re-write the equation in standard form and then indicate the name of each coefficient (a₁, etc.). Use the filter() function in MATLAB to check your results to 1 and 2.

Follow the decay of parent 87Rb and growth of daughter 87Sr in a granite sample over the course of six half-lives. Assume that the granite initially contains 1.2 x 10^20 atoms of 87Rb and 0.3 x 10^20 atoms of 87Sr. The half-life of 87Rb is 48.8x10^9 years. Show the results graphically on the graph paper below.

Carbon monoxide emissions for a particular car vary with an average of 2.5 g/mi and a standard deviation of 0.3 g/mi. A company has 60 of these cars in its fleet. If X= the CO level for the company's fleet, what is the probability that the average of the 60 cars falls between 2.55 and 2.6 g/mi? Round your answer to four decimal places .