MAT 157 Q11

# MAT 157 Q11

398.7k points

Q11

1.  In a factory down the road, it is claimed that accidents are distributed on workdays as follows: Monday: 25%, Tuesday: 15%, Wednesday: 15%, Thursday: 15%, Friday: 30%. Yesterday they did a study of observed accidents over the past few months and gathered this info: Out of 100 accidents, 22 occurred on Monday, 15 on a Tuesday, 15 on a Wednesday, 17 on a Thursday, and 31 on a Friday. They plan on doing a test at a 5% level of significance. What is the value of the test statistic?

2.  At the local courthouse they are wondering about the number of absences during the work week. They think they pretty much occur with the same frequency, so they plan on testing that thought at a 2.5% significance level.. Out of 30 randomly selected absences there were 8 on Monday, 9 on Tuesday, 4 on Wednesday, 3 on Thursday, and 6 on Friday. Give the value of the test statistic that would be used for a test of this type.

3.  There's this manager over at a huge department store in the mall on the other side of town that claims absences occur during weekdays with the same frequency. Test this claim at a 5% significance level if the following sample data have been compiled.

 Weekday Mon Tue Wed Thur Fri Absences 37 15 12 23 43

4.  A sociologist wanted to determine whether there was a difference in the amount of time children aged 5-7 spent watching television each day. The following data was gathered(in minutes). What is the critical value if the sociologist wants to test the claim that children watch television pretty much the same amount each day of the week? Use ? = 0.05.

 Day Mon Tue Wed Thur Fri Sat Sun Absences 125 140 130 125 200 225 210

5.  A sociologist wanted to determine whether there was a difference in the amount of time children aged 5-7 spent watching television each day. The following data was gathered(in minutes). What is the value of the test stat if the sociologist wants to test the claim that children watch television pretty much the same amount each day of the week? Use ? = 0.05.

6.  A national research firm reported that 14% of the people in the country describe their health as fair, 30% as good, 36% as very good, and 20% as excellent. A health professional in Chicago wanted to determine if people in Chicago had similar feelings toward their health. In a sample of 600 people in Chicago, 70 described their health as fair, 175 as good, 225 as very good, and 130 as excellent. Use a test to determine if these results are the same as the national report. (? = 0.01)

7.  You roll a die 1800 times with the following chart showing how many times each number occurred. Use a significance level of 0.025 to test the claim that the die is fair (fair means that each side of the die would occur with the same frequency).

 Number 1 2 3 4 5 6 Frequency 292 280 263 347 299 319

8.  The number of accidents last week in Brooklyn for Monday through Friday is given below. The mayor thinks accidents, in Brooklyn , occur with these frequencies: 10% Monday, 25% Tuesday, 15% Wednesday, 15% Thursday, and 35% Friday. Based on the data that was collected and is shown in this chart, give the test stat. (Use ? = .10)

 Day of Week Mon Tue Wed Thu Fri No. of Accidents 45 11 12 15 57

9.  A car dealer wants to know whether customers prefer a particular color of car to other car colors. He keeps records of the color of car bought by the next 196 customers. The data are shown below. The plan is to determine if there is a color preference for cars at the level of significance of ? = 0.05. Give the critical value.

 Color White Brown Red Blue Green Black Yellow No. Sold 40 11 25 30 30 25 35

10.  A homeowner thinks that her yearly gas/electric expenditures can be broken down into the following percentages: 20% in the spring, 35% in the summer, 20% in the fall, and 25% in the winter. Last year, the expenditures per season are shown in the following table. At a 2.5% level of significance, give the critical value.

 Season Spring Summer Fall Winter Amt. Spent 200 320 185 245

MAT 157

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Excerpt from file: Math Tutorial Q11 1. In a factory down the road, it is claimed that accidents are distributed on workdays as follows: Monday: 25%, Tuesday: 15%, Wednesday: 15%, Thursday: 15%, Friday: 30%. Yesterday they did a study of observed accidents over the past few months and gathered this info: Out of 100

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