Bank promotion A town has only two banks, bank
(A) Find optimal strategies for bank
(B) What is the expected value of the game for
(C) What is the expected value of the game for
(D) What is the expected value of the game for
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- please answer in text form and in proper format answer with must explanation , calculation for each part and steps clearlyarrow_forwardDuffin House, Higgins Press, and Sickle Publications all went public on the same day recently. John O'Hagan had the opportunity to participate in all three initial public offerings (partly because he and Marjory Duffin are good friends). He made a considerable profit when he sold all of the stock 2 days later on the open market. The following table shows the purchase price and percentage yield on the investment in each company. Purchase Priceper Share ($) Yield (%) Duffin House (DHS) 8 20 Higgins Press (HPR) 10 15 Sickle Publications (SPUB) 15 15 He invested $25,000 in a total of 2,600 shares and made a $4,350 profit from the transactions. How many shares in each company did he purchase? Duffin House shares Higgins Press shares Sickle Publications shares I have x+y+z=2600 8x+10y+15z=25,000 160x+150y+225z=435,000 i keep getting y=506, i know im doing something wrong :(arrow_forwardThe owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day Store 1 Store 2 1 467 Difference (Store 1 - Store 2) Send data to calculator V 361 Explanation Check 106 2 865 903 - 38 3 254 4 704 5 929 102 611 671 6 418 550 7 (a) State the null hypothesis H and the alternative hypothesis H₁. Ho : D 734 737 152 93 258 - 132 -3 8 621 690 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μd (which is u with a letter "d" subscript), the population mean daily sales difference between the…arrow_forward
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day Store 1 Store 2 1 889 2 Difference (Store 1 - Store 2) Send data to calculator V 3 699 534 479 525 252 4 398 5 432 364 160 6 7 8 213 252 929 32 234 632 410 174 282 34 272 181 18 297 Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μ (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus Store 2) is normally…arrow_forwardA corporation has four factories, each of which manufactures sport utility vehicles and pickup trucks. In the matrixaij represents the number of vehicles of type i produced at factory j in one day. Find the production levels when production increases by 10%.arrow_forwardWrite the payoff matrix for the given game, use Rick as the row player. Two friends, Rick and Carl, play the following game. Each one has a coin, and each decides which side to turn up. They show the coins simultaneously and make payments according to the following. If both show heads, Rick pays Carl 50 cents. If both show tails, Rick pays Carl 25 cents. If a head and a tail show, Carl pays Rick 35 cents.arrow_forward
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 Store 1 889 699 534 398 432 213 252 929 Store 2 479 525 252 364 160 32 234 632 Difference(Store 1 - Store 2) 410 174 282 34 272 181 18 297 Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding μd (which is μ…arrow_forwardYou are analyzing stocks of three companies you are interested in investing in. Suppose that these three stocks are Apple stock (AAPL), Microsoft (MSFT), and Tesla (TSLA). At the end of this month, each month may move up (increase in value), move down (decrease in value) or stay the same. In this case, an experiment consists of observing the price condition across the three stocks. Each of the three conditions (move up, move down, stay same) are equally likely. How many outcomes are in the sample space? List 7 of the outcomes. (use U for move up, D for moving down and S for staying the same) Let A be the event that all the stocks have the same performance. List the outcomes in A. Let B be the event that all of stocks are different. List the outcomes in B. Let C be the event that at least two stocks move up. Are events A and C mutually exclusive? Are events B and C mutually exclusive? What is the probability of ? What is the probability of ? What is the probability of ? What is the…arrow_forwardYou are analyzing stocks of three companies you are interested in investing in. Suppose that these three stocks are Apple stock (AAPL), Microsoft (MSFT), and Tesla (TSLA). At the end of this month, each month may move up (increase in value), move down (decrease in value) or stay the same. In this case, an experiment consists of observing the price condition across the three stocks. Each of the three conditions (move up, move down, stay same) are equally likely. How many outcomes are in the sample space? List 7 of the outcomes. (use U for move up, D for moving down and S for staying the same) Let A be the event that all the stocks have the same performance. List the outcomes in A. Let B be the event that all of stocks are different. List the outcomes in B. Let C be the event that at least two stocks move up. Are events A and C mutually exclusive? Are events B and C mutually exclusive? What is the probability of ? What is the probability of ? What is the probability of ? What is the…arrow_forward
- Write the payoff matrix for the given game, use Rachel as the row player. Two players, Rachel and Charlie, each have two cards. Rachel has one black card with the number 3 and one red card with the number 5. Charlie has a black card with a 6 written on it and a red card with a 1. They each select one of their cards and simultaneously show the cards. If the cards are the same color, Rachel gets, in dollars, the sum of the two numbers shown. If the cards are different colors, Charlie gets, in dollars, the difference of the two numbers shown.arrow_forwardThe owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 6. 9 10 Store 1 557 829 733 531 454 634 409 726 769 329 Store 2 413 732 567 484 650 586 269 684 705 371 Difference 144 97 166 47 - 196 48 140 42 64 -42 (Store 1- Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of the two stores differ? Answer this question by performing a hypothesis test regarding u (which is u with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of differences (Store 1 minus Store…arrow_forwardHospital Staffing. Where we considered the relationship between monthly man-hours needed to maintain an anesthesiology service and the predictor variables number of surgical cases, eligible population per 1000, and number of operating rooms. Use the technology of your choice to obtain output. a. Obtain a scatterplot matrix for the data, a three-dimensional scatterplot of the three predictor variables, and a regression analysis of man-hours on the three predictor variables (include the VIF s). Use these plots and output to assess the severity of multicollinearity in this regression analysis. b. What remedies would you suggest, if any, to lessen the effect of multicollinearity in this regression analysis?arrow_forward