Technology Financial Institutions
298 582
356 813
432 847
442 868
436 955
578 988
646 1051
627 1065
b. assuming that the population variances are not equal.
Determine the hypotheses. Choose the correct answer below.
A. Upper H 0H0 : mu 1 equals mu 2μ1=μ2
Upper H 1H1 :mu 1 not equals mu 2μ1≠μ2
B. Upper H 0H0 :mu 1 less than or equals mu 2μ1≤μ2
Upper H 1H1 :mu 1 greater than mu 2μ1>μ2
C. Upper H 0H0 :mu 1 greater than or equals mu 2μ1≥μ2
Upper H 1H1 :mu 1 less than mu 2μ1<μ2
D. Upper H 0H0 :mu 1 not equals mu 2μ1≠μ2
Upper H 1H1 :mu 1 equals mu 2μ1=μ2
Find the test statistic.
(Round to two decimal places as needed.)
Find the p-value.
(Round to three decimal places as needed.)
The statistical software output for this problem is:
Two sample T hypothesis test:
μ1 : Mean of Technology
μ2 : Mean of Financial Institutions
μ1 - μ2 : Difference between two means
H0 : μ1 - μ2 = 0
HA : μ1 - μ2 ≠ 0
(without pooled variances)
Hypothesis test results:
Difference | Sample Diff. | Std. Err. | DF | T-Stat | P-value |
---|---|---|---|---|---|
μ1 - μ2 | -419.25 | 71.47374 | 13.403954 | -5.8657907 | <0.0001 |
Hence,
Hypotheses:
H0 : μ1 = μ2
HA : μ1 ≠ μ2
Test statistic = -5.87
p - value = 0.000
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