Question Problem 2. (1 point) A simple random sample of shoppers was collected in a large departmental store to study some certain consumer behaviours. Among the questions asked was, "do you enjoy shopping for clothing?" and "are you Male or Female?" Here are partial summarized data for this question: Do you enjoy shopping? Yes No Not relevant I buy what I have to Females 59 42 Total 195 114 135 47 If the null hypothesis is: Ho : Gender and enjoying shopping are independent. Use alpha 0.01, then do the following: (Use two decimal places when appropriate) (a) Find the expected number of people with who said they like to shop and are Female: (b) Find the expected number of people who said they don't like to shop and are not Female: (c) Find the expected number of people who responded with a Not relevant I buy what I have to and who are Female: (d) Find the test statistic: (Use two decimal places when appropriate) (e) Find the degrees of freedom: (f) Find the critical value: (Use two decimal places when appropriate) (g) The final conclusion is A. There is not sufficient evidence to reject the null hypothesis. B. We can reject the null hypothesis that gender and enjoying shopping are independent.

Question 12 (1 point) A realty company is interested in conducting a study using hypothesis testing. Assuming p is the proportion of houses that take more than three months to sell, the company wants to test, H : p = 45% (HA: p > 45% An analyst from the company collects a sample of houses that were recently sold and records the number of houses within her sample that took more than three months to sell. If she finds a p-value of 0.02, it means, There is 2% chance that the null hypothesis is true. There is 2% chance that 45% of the houses take more than three months to sell. There is a 98% chance that 45% of the houses take more than three months to sell. records the number of houses within her sample that took more than three months to sell. If she finds a p-value of 0.02, it means, There is 2% chance that the null hypothesis is true. There is 2% chance that 45% of the houses take more than three months to sell. There is a 98% chance that 45% of the houses take more than three months to sell. there's a 2% chance that a random sample would produce a sample proportion as high or higher than the one she obtained.

Vm=202.50 pi^2 mV T=460 pi ms R= 600 kOhms C= 550 n -7 0 0 12 1 372 27 Learning Goal: To analyze the response of a circuit to a periodic voltage. The periodic triangular-wave voltage shown(Figure 1) is applied to the circuit shown(Figure 2). For the applied voltage, Vin = 202.50 72 mV and T = 460 7 ms; for the circuit, R = 600 k and C = 550 nF. Review Constants Part B - The first nonzero term in the output Fourier series All the terms in the Fourier series of the response function can be written in the form von = X. 008(Yt-Bu). Determine the constants X.Y and 8 for the first nonzero term in the Fourier series Give your answers separated by commas to four significant figures. Express X in millivolts, Yi in radians per second, and 8. In degrees. View Available Hints) X, Y. B. = 926 3. A 348.05.12 Previous Answers Correct Part - The next two nonzero terms in the output Fourier series All the terms in the Fourier series of the response function can be written in the form on-X.c.(Yat - Bm). Determine the constants X. Y. and Su for the next two nonzero terms in the Fourier series Give your answers separated by commas to four significant figures. Express the X, in millivolts, the Y. in radians per second, and the fin degrees. View Available Hints) θΕ ΑΣΦινος ? X3, X 8 Xs YsBs - Submit Preskus Answers

The crunchy crunch cereal company claims that the average weight of a cereal box is at least 950 grams. Gabriel has calculated the average weight of a sample of 25 boxes of cereal to be 945 grams with the standard deviation of 10 grams. Is this providing enough evidence that the company is under-filling the boxes? Test this hypothesis at 0.025 significance level.

3. (30 points) Gears and Angle of Twist * 30 mm T1000N F-120 mm 500 mm 700 mm A simple 2-shatt gear system is shown below. Shaft AB is fixed to a wall at A. Each shalt is made of steel with a maximum allowable shear stress Tmax <60 MPa and G-7720P Determine the following: a. Torque in shah AB (TAB) b. Using Tmax is 60 MPa, determine the required diameter of shaft AB C. ID (angle of twist at D) cannot exceed 1" (=pV180 radians), determine the required shaft diameter of shaft AB and CD it they must be the same diameter

TotsPoses, Inc., a profit-maximizing business, is the only photography business in town that specializes in portraits of small children. George, who owns and runs TotsPoses, expects to encounter an average of eight customers per day, each with a reservation price shown in the following table. Assume George has no fixed costs, and his cost of producing each portrait is $25. Customer Reservation price ($ per photo) 1 50 2 46 3 42 4 38 5 34 6 30 7 26 8 22 a. Suppose George is permitted to charge two prices. He knows that customers with a reservation price above $30 never bother with coupons, whereas those with a reservation price of $30 or less always use them. At what level should George set the list price of a portrait? At what level should he set the discount price? How many photo portraits will he sell at each price? List price of a portrait: $__ Number of portraits to be sold at the list price: __portraits Discount price of a portrait: $__ Number of portraits to be sold at the discounted price: __portraits b. In this case, what is George’s economic profit and how much consumer surplus is generated each day? Economic profit: $__ Consumer surplus: $__

W M \C D B E 3 a b F Given that w= 17 kN/m, F= 20 kN, M = 21 kNm, a = 3 m and b = 1.5 m, determine the internal normal force, shear force and bending moment at points D and Ein the overhang beam. Point Dis located just to the left of the roller support at B, where the couple moment acts. Round all answers to the nearest integer. Normal force at Din kN (round to the nearest integer): KN Shear force at Din kN (round to the nearest integer): KN Bending moment at Din kNm (round to the nearest integer): kNm Normal force at Ein kN (round to the nearest integer): KN Shear force at Ein kN (round to the nearest integer): KN Bending moment at Ein kNm (round to the nearest integer):