business stat final 4 pages

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crystal_sims_business_statistics_week_6.docx

1. Business major

One-Sample Test

Test Value = 160000

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

cost

2.535

19

.020

$28,632.000

$4,995.67

$52,268.33

Let µ be the mean cost for business major.

The hypotheses are

Ho: µ=160000 vs Ha: µ≠160000

The t value is 2.535 with a p value of .020 which is less than 0.05. Thus we reject Ho at 5% level and conclude that the mean cost for business major is not equal to 160000.

Engineering major

One-Sample Test

Test Value = 160000

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

cost

-1.076E4

19

.000

$-159,835.900

$-159,866.99

$-159,804.81

Let µ be the mean cost for engineering major.

The hypotheses are

Ho: µ=160000 vs Ha: µ≠160000

The t value is -1.076E4 with a p value of 0.00 which is less than 0.05. Thus we reject Ho at 5% level and conclude that the mean cost for engineering major is not equal to 160000.

2.

t-Test: Two-Sample Assuming Unequal Variances

 

30 Year ROI

30 Year ROI

Mean

1477800

1838000

Variance

17673957895

32327578947

Observations

20

20

Hypothesized Mean Difference

0

df

35

t Stat

-7.203889288

P(T<=t) one-tail

1.04423E-08

t Critical one-tail

1.306211802

P(T<=t) two-tail

2.08847E-08

t Critical two-tail

1.68957244

 

Let µ1 and µ2 be the mean cost for business major and engineering major respectively.

The hypotheses are

Ho: µ1 = µ2 vs Ha: µ1 < µ2

This is a one tailed test. The t value is 1.306211802 with a p value of 2.08847E-08 which is less than 0.1. Thus there is enough evidence to reject Ho at 10% level and conclude that the mean cost for engineering major is higher than that of business major.