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The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the

  1. The following three independent random samples are obtained from three normally distributed populations with equal variances. The dependent variable is starting hourly wage, and the groups are the types of position (internship, co-op, work study). We are testing the claim that position is a factor in starting salaries for new college graduates. at=0.1=0.1given the following data

Group 1: Internship

Group 2: Co-op

Group 3: Work Study

10.75

9

13.5

11

10

11.75

11.75

9.5

10.25

12

13

10

14.25

10.5

14.75

14

11.25

10.5

12.75

12.75

9.75

16.5

9.75

9.5

13.25

12.25

11

  1. Your friend Yolanda helped you with the null and alternative hypotheses... H0:1=2=3H0:1=2=3 H1:H1:At least two of the means differ from each other.
  2. For this study, we should useSelect an answer:

-Test

2-PropZTest

1-PropZTest

ANOVA

2-PropZInt

1-PropZInt

GOF-Test

T-Test

2-SampTTest

Interval

2-SampTInt

  1. The test-statistic for this data =______ (Please show your answer to 3 decimal places.)
  2. The p-value for this sample = _______ (Please show your answer to 4 decimal places.)
  3. The p-value isSelect an answer:

greater than alpha

less than (or equal to) alpha

  1. Base on this, we shouldSelect an answer:

fail to reject the null hypothesis

reject the null hypothesis

accept the null hypothesis

  1. As such, the final conclusion is that...
    • There is insufficient evidence to support the claim that position is a factor in starting salaries for new college graduates.
    • There is sufficient evidence to support the claim that position is a factor in starting salaries for new college graduates.

  1. A researcher wants to know if the news station a person watches is a factor in the amount of time (in minutes) that they watch. The table below shows data that was collected from a survey.

Local

FOX

CNN

68

41

32

60

44

57

53

57

41

35

21

65

16

64

58

29

40

51

45

23

58

50

48

Assume that all distributions are normal, the three population standard deviations are all the same, and the data was collected independently and randomly. Use a level of significance of=0.01=0.01. H0:1=2=3H0:1=2=3 H1:At least two of the means differ from each other.

  1. For this study, we should useSelect an answer

1-PropZInt

GOF-Test

2-SampTTest

2-PropZInt2-SampTInt

ANOVA

1-PropZTest

T-Test

2-PropZTest

Interval

-Test

  1. The test-statistic for this data = _____ (Please show your answer to 3 decimal places.)
  2. The p-value for this sample =________ (Please show your answer to 4 decimal places.)
  3. The p-value isSelect an answer:

less than (or equal to) alpha

greater than alpha

  1. Base on this, we shouldSelect an answer:

accept the null hypothesis

fail to reject the null hypothesis

reject the null hypothesis

  1. As such, the final conclusion is that...
    • There is insufficient evidence to support the claim that station is a factor in the amount of time people watch the news.
    • There is sufficient evidence to support the claim that station is a factor in the amount of time people watch the news.

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