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- An educational software company wants to compare the effectiveness of its computer animation for teaching biology with that of a textbook presentation. The company gives a biology pretest to each of a group of high school juniors, and then divides them into two groups. One group uses the animation, and the other studies the test. The company retests all students and compares the increase in biology test scores in the two groups b. If the group using the computer animation has a much higher average increase in test scores than the group using the textbook, what conclusions, if any, could the company drawIndicate why the give method for running a simulation is not accurate.A bag contains 4 red marbles, 4 blue marbles, 6 yellow marbles, and 6 green marbles. If marbles are drawn one-by-one and not replaced, use 0-1 to represent a red marble, 2-3 to represent blue, 4-6 for yellow, and 7-9 to represent a green marble.In laparoscopic surgery, a video camera and several thin instruments are inserted into the patient's abdominal cavity. The surgeon uses the image from the video camera positioned inside the patient's body to perform the procedure by manipulating the instruments that have been insert ed. The Top Gun Laparoscopic Skills and Suturing Program was developed to help surgeons develop the skill set necessary for laparoscopic surgery. Because of the similarity in many of the skills involved in video games and laparoscopic surgery, it was hypothesized that surgeons with greater prior video game experience might acquire the skills required in laparoscopic surgery more easily. Thirty-three surgeons partici pated in the study and were classified into the three categories, never used, under three hours, and more than three hours depending on the daily number of hours they played video games at the height of their video game use. They also performed Top Gun drills and received a score based on the…
- We know that physical exercise improves the body, but can it also improve the mind? Scientists at The Salk Institute at La Jolla, California, took a random sample of adult mice and divided them into two groups. Both groups were trained to find a platform in a maze filled with cloudy water. (Mice hate swimming, so they seek the platform as the refuge.) The first group of mice exercised on a running wheel, about 5 kilometers per day. The second group remained inactive. After one month, the mice were placed in the maze and timed until each reached the platform. The sample statistics are given below.Active group: n = 15, x ̄ = 17.6, s = 3.0 111Inactive group: n = 12, x ̄ = 27.1, s = 6.3 222(a) At 1% significance level conduct a hypothesis test to determine if exercise im- proves memory in adult mice; in other words, test if the active group is, on average, faster than the inactive group.(i.) State the hypotheses.(ii.) Test for equality of unknown population variances.(iii.) Calculate test…The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than 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 sample of days. After choosing a random sample of 8 days, she records the sales (in dollars) for each store on these days, as shown in the table below. Based on these data, can the owner conclude, at the 0.05 level of significance, that the mean daily sales of Store 1 exceeds that of Store 2? Answer this question by performing a hypothesis test regarding μd (which is μ with a letter "d" subscript), the population mean daily sales difference between the two stores. Assume that this population of…The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than 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 2 3 4 5 6 7 8 9 10 Store 1 478 478 770 795 952 774 499 953 695 964 Store 2 329 581 595 921 895 661 645 793 575 973 Difference(Store 1 - Store 2) 149 −103 175 −126 57 113 −146 160 120 −9 Send…
- The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than 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 sample of days. After choosing a random sample of 8 days, 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 1 519 631 999 602 543 643 767 742 Store 2 581 324 874 380 257 459 635 564 Difference(Store 1 - Store 2) −62 307 125 222 286 184 132 178 Based on these data, can the owner conclude, at…Parents are frequently concerned when their child seems slow to begin walking (although when the child finally walks, the resulting havoc sometimes has the parents wishing they could turn back the clock!). An article on this topic reported on an experiment in which the effects of several different treatments on the age at which a child first walks were compared. Children in the first group were given special walking exercises for 12 minutes per day beginning at age 1 week and lasting 7 weeks. The second group of children received daily exercises but not the walking exercises administered to the first group. The third and fourth groups were control groups. They received no special treatment and differed only in that the third group's progress was checked weekly, whereas the fourth group's progress was checked just once at the end of the study. Observations on age (in months) when the children first walked are shown in the accompanying table. Age n Total Treatment 1 9.00 9.50…In laparoscopic surgery, a video camera and several thin instruments are inserted into the patient's abdominal cavity. The surgeon uses the image from the video camera positioned inside the patient's body to perform the procedure by manipulating the instruments that have been inserted. The Top Gun Laparoscopic Skills and Suturing Program was developed to help surgeons develop the skill set necessary for laparoscopic surgery. Because of the similarity in many of the skills involved in video games and laparoscopic surgery, it was hypothesized that surgeons with greater prior video game experience might acquire the skills required in laparoscopic surgery more easily. Thirty‑three surgeons participated in the study and were classified into three categories, never used, under three hours, and three or more hours—depending on the daily number of hours they played video games at the height of their video game use. They also performed Top Gun drills and received a score based on the time to…