6 men and 5 women have signed up for a research study. Researchers must choose 4 people for the control group. How many possible control groups contain at least one woman?
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6 men and 5 women have signed up for a research study. Researchers must choose 4 people for the control group.
How many possible control groups contain at least one woman?
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- Need helpThe Consumer Reports Restaurant Customer Satisfaction Survey is based upon 148,599 visits to full-service restaurant chains.† One of the variables in the study is meal price, the average amount paid per person for dinner and drinks, minus the tip. Suppose a reporter for a local newspaper thought that it would be of interest to her readers to conduct a similar study for restaurants located in her city. The reporter selected a sample of 8 seafood restaurants, 8 Italian restaurants, and 8 steakhouses. The following data show the meal prices ($) obtained for the 24 restaurants sampled. Italian Seafood Steakhouse $13 $16 $25 14 18 19 16 18 23 18 25 25 17 24 20 21 16 22 18 19 28 11 24 30 Use ? = 0.05 to test whether there is a significant difference among the mean meal price for the three types of restaurants. State the null and alternative hypotheses. H0: ?Italian = ?Seafood = ?SteakhouseHa: ?Italian ≠ ?Seafood ≠ ?Steakhouse H0: ?Italian ≠ ?Seafood ≠ ?SteakhouseHa:…To get from Berkeley to the San Francisco airport (SFO) one can either take a shuttle van or drive. Either way, one must cross the San Francisco Bay Bridge. The shuttle van drops its passengers at the airport departure terminal. If one drives, he or she must park in a lot near the airport, then take a parking shuttle from the parking lot to the airport departure terminal. There is a 40% chance that the Bay Bridge will be congested with traffic. If it is, it takes 1.1 hours to drive to the parking lot. If not, it takes 40 minutes to drive to the parking lot. The parking shuttle runs every 10 minutes and takes 10 minutes to get to the airport departure terminal from the parking lot. Suppose it is equally likely that one must wait 0, 1, or 9 minutes for the parking shuttle once getting to the parking lot, and that the amount of time one must wait is independent of the amount of time it takes to drive to the parking lot from Berkeley. 2, If one takes the shuttle van from Berkeley directly…
- The rabies vaccine for dogs can save your dog's life. If your dog bites another animal or is on the receiving end of a bite, the vaccine can protect them from a dangerous and potentially fatal illness. Furthermore, in most places, the rabies vaccine for dogs is legally required. The NYC Department of Health wants to know if LESS than 95% of the dogs in the city have been vaccinated with their rabies vaccine. 158,045 of the 165,000 dogs examined had their rabies shots. Risk no more than 5% Type I error. . What is the Z CRIT? A + 1.96 B + 1.645 C - 1.96 D - 1.645An ecology class used binoculars to watch 23 turtles at Walden Pond. It was found that 18 were box turtles and 5 were snapping turtles. What kind of study is this? -observational -census -simulation -experimentalAmong college students, the proportion p who say they're interested in their congressional district's election results has traditionally been 75%. After a series of debates on campuses, a political scientist claims that the proportion of college students who say they're interested in their district's election results is more than 75%. A poll is commissioned, and 212 out of a random sample of 275 college students say they're interested in their district's election results. Is there enough evidence to support the political scientist's claim at the 0.10 level of significance? Perform a one-tailed test. Then complete the parts below. Carry your intermediate computations to three or more decimal places. (If necessary, consult a list of formulas.) (a) State the null hypothesis H, and the alternative hypothesis H₁. HO H₁ :0 (b) Determine the type of test statistic to use. (Choose one) ▼ (c) Find the value of the test statistic. (Round to three or more decimal places.) 0 (d) Find the critical…
- There are two main fishing spots in a certain video game, a river and a lake. In the river, out of the 57 fish that were caught, 31 of them were trout. In the lake, out of the 64 fish that were caught, 24 of them were trout. Use a significance level of a = 0.02 to test the claim that the proportion of trout in the river is greater than the proportion of trout in the lake. Let the river represent population 1, and the lake represent population 2. a.) State the null and alternative hypothesis using correct symbolic form. Ho: P1 P2 H1: P1 + P2 b.) What is the critical value? (round to two decimal places)In the 2014-2015 academic year, many public universities in the United States raised tuition and fees due to a decrease in state subsidies. The change in the cost of tuition, a shared dormitory room, and the most popular meal plan from the 2014- 2015 academic year for a sample of 10 public universities were as follows: $1589, $593, $1223, $869, $423, $1720, $708, $1425, $922 and $308. Run the descriptive statistic measures for this data set and interpret the results for the following concepts:A consumer agency wants to determine which of two laundry detergents, A or B, cleans clothes better. Fifty pieces of fabric are subjected to the same kinds of stains (grass, mud, coffee). Then 25 pieces are randomly assigned to be cleaned with detergent A and the remaining 25 pieces are cleaned with detergent B. After being laundered, the pieces of fabric are rated on a scale from 1–10, with 1 being the least clean to 10 being the most clean. The difference in mean ratings (A – B) was determined to be 1.5. Assuming there is no difference in the two detergents, 200 simulated differences in sample mean ratings are displayed in the dotplot. Using the dotplot and the difference in mean ratings from the samples, is there convincing evidence that the one detergent is better than the other? Yes, because a difference in mean rating of 1.5 or more occurred only 23 out of 200 times, meaning the difference is statistically significant and there is convincing evidence that A is more effective…
- Indiana has a population of about 7 million people and Ohio about 12 million. Is it possible for there to be a poll where over 50% of Hoosiers say "yes", over 50% of Ohioans say "yes", but over 50% of all residents of both states say "no"? If no, explain why not. If yes, give an example of how that could happen.Suppose we want to compare the GPA for students in at least three different social classes (Upper, Middle, Working). We obtain GPA records for a randomly selected set of 30 students, ten from each social class group. What test should you use and why?A local government official observes an increase in the number of individuals with cardiovascular and obesity problems in his barangay. In order to improve the health conditions of his constituents, he aims to promote an easy and cheap way to reduce weight. It is known that obesity results in risk of having illnesses like diabetes and heart problems. He encouraged his constituents to participate in his "Dance for Life" project every weekend for three months. To know if the program is effective in reducing weight, he randomly selected 12 participants from the group who completed the program. The weight loss data, in kilograms, of the 12 randomly selected participants after completing the program, are 0.5, 0.7, 0.9, 1.1, 1.2, 1.3, 1.4, 2.0, 2.3, 2.4, 2.7, 3.0. It is known that the weight loss of those who have completed the dance program follows a normal distribution with variance of 3.24 ??2. a. Construct and interpret a 90% confidence interval for the true mean weight loss of the…
