Question

3. Create the printout for testing whether the mean closing price of all NYSE stocks differs from the mean closing price of all NASDAQ stocks and attach it here. Answer the following questions regarding this printout:

Student Edition of Statistix 10.0                          4/21/2020, 5:32:15 AM

Two-Sample T Tests for Close by Exchange

Exchange           N         Mean       SD        SE

0                         40        51.664   73.709   11.654

1                         25        19.368   18.703   3.7406

Difference                    32.296   59.131   15.076

T-Tests for Mean Difference

Null Hypothesis: difference = 0

Alternative Hyp: difference ≠ 0

                                                                  Lower    Upper

Method Variances           DF         T            P      95% C.I. 95% C.I.

Pooled   Equal    63       2.14      0.0360   2.1702 62.423

Satterthwaite      Unequal 46.6      2.64      0.0113   7.6679 56.925

Homogeneity of Variances    DF         F            P

Folded F Test     39,24    15.53    0.0000

Cases Included 65    Missing Cases 0

a. State the assumptions necessary for this printout to be valid. (You don’t need to state that the samples were randomly and independently selected. We know that they were from part 1 of the project!)

b.         Use the confidence interval to make a statement regarding the relationship between the population means. Make sure to include your confidence level in your statement.

Answer 1

a)

1)normal distribution:

It can be considered as sample large enough to have normal distribution for both sample

b)

Mean difference lie between the interval  [2.1702 , 62.423]

we can reject the null hypthesis as 0 is not between the interval.

95 % confident that true mean difference will lie in this interval.

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