MAT 157 Q11

MAT 157 Q11


Asked by 3 years ago
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
maddy

1 Answer

Answered by 3 years ago
389.5k points

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 MAT 157 Q11

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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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