A chain of hardware stores is trying to sell more paint by mailing pamphlets describing the paint. In 15 communities containing one of these hardware stores, the paint sales (in dollars) were recorded for the months before and after the ads were sent out. The paired results for each store follow. Sales after 614 155 797 282 717 462 285 644 509 112 262 362 92 219 285 Sales before 468 211 642 259 681 437 222 473 378 119 114 366 94 297 432 Use a 0.1 level of significance to test the null hypothesis that the advertising had no effect on sales against the alternate hypothesis that it improved sales. 1.) Find the sample test statistic. (Use 2 decimal places for the value of x in your calculations. Use 2 decimal places f

At the Carnival game, there are three 1 dollar bills, one 5 dollar bill, and one 10 dollar bill in a bag. It's five dollars to play, and whichever bill you grab from the bag is the one you keep.  Say you draw 20 times with the following data:  $5, $1, $1, $10, $1, $1, $5, $1, $1, $5, $10, $1, $1, $1, $1, $5, $1, $1, $10, $5 What is the expected value?

One common system for computing a grade point average​ (GPA) assigns 4 points to an​ A, 3 points to a​ B, 2 points to a​ C, 1 point to a​ D, and 0 points to an F. What is the GPA of a student who gets an A in a 33​-credit ​course, a B in each of threethree 22​-credit ​courses, a C in a 33​-credit ​course, and a D in a 22​-credit ​course?

The owners of an amusement park count the number of adults and children who attend the park on a Friday and Saturday. The completed table is shown below.    Friday Saturday Total Adults 245 371 616 Children 154 277 431 Total 399 648 1,047 How does the joint frequency for the number of adults who attended the amusement park on Friday compare to the joint frequency for the number of children who attended the amusement park on Saturday?     The joint frequency for the number of adults who attended the amusement park on Friday is 399, which is less than the joint frequency for the number of children who attended the amusement park on Saturday, 431. The joint frequency for the number of adults who attended the amusement park on Friday is 154, which is less than the joint frequency for the number of children who attended the amusement park on Saturday, 277. The joint frequency for the number of adults who attended the amusement park on Friday is 371, which is…

Researchers wanted to know the effectiveness of a new allergy medicine.  A study was conducted on 500 adults who experience allergy symptoms.  Each adult was randomly assigned to receive the new allergy medicine or a placebo.  Researchers recorded whether or not their symptoms improved within 1 week. a.   Complete the two-way table summarizing the findings.   Allergy Medicine Placebo Total Symptoms Improved  85 80   Symptoms DidNot Improve         Total 215    285 500    b.  Use the study results to complete the following.  Round your answer to the nearest tenth of a percent, as needed. Notice the percent sign is already included, so you just need to type the number.  What percent of the adults in this study were given the new allergy medicine?  % What percent of those who experienced improvements received the allergy medicine?   %  What percent of those who received the allergy medicine experienced improvements?   %  What percent of those who did not received the allergy…

Several years ago, two companies merged. One of the concerns after the merger was the increasing burden of retirement expenditures. An effort was made to encourage employees to participate in the 401(k) accounts. Nationwide, 63% of eligible workers participated in these accounts. The accompanying data table contains responses of 30 employees of the company when asked if they were currently participating in a 401(k) account. Complete parts a through d. Click the icon to view the data table. a. Determine the sample proportion of company workers who participate in 401(k) accounts. The sample proportion is. (Round to three decimal places as needed.) b. Determine the sampling error if in reality the company workers have the same proportion of participants in 401(k) accounts as does the rest of the nation. The error is (Round to three decimal places as needed.) c. Determine the probability that a sample proportion at least as large as that obtained in the sample would be obtained if the…

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For a statistics class project, Jonathan and Crystal held an ice-cream-eating contest. They randomly selected 29 males and 35 females from their large high school to participate. Each student was given a small cup of ice cream and instructed to eat it as fast as possible. Jonathan and Crystal then recorded each contestant's gender and time (in seconds), as shown in the dotplots. : ● Male Female 15 75 90 105 30 45 60 Time to eat ice cream (sec) Do these data give convincing evidence of a difference in the population means at the a = 0.10 significance level? State appropriate hypotheses for performing a significance test. Be sure to define the parameters of interest. = Ho: M1 M2 = 0, Ha M₁ −μ₂ > 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and μ₂ = the true mean time it takes for female students to eat a small cup of ice cream. Ho: M1 - M₂ = 0, Ha M₁ M₂ < 0, where μ₁ = the true mean time it takes male students to eat a small cup of ice cream and…

The following table shows the average annual amount of precipitation (mm) for 16 Canadian cities. Create a box-and-whisker plot to display this information. Precipitation (mm) City St. John's 1482 |Charlottetown 1201 Halifax 1474 Fredericton 1131 Québec City 1208 Montréal 940 |Ottawa 911 |Toronto 819 Winnipeg Regina 504 364 Edmonton 461 |Calgary 399 Vancouver 1167 Victoria 858 Whitehorse 269 Yellowknife 267

Martin collected data from students about whether they played a musical instrument. The table shows his results. Instrument No Instrument TOTAL Вoys 40 68 108 Girls 46 84 TOTAL 86 106 192 Of the students surveyed, how many played an instrument? The number of students surveyed who played an instrument is [