brandon lab 5.docx

8/14/2019 Brandon LAB 5.docx

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BRANDON LIM TZE WEI DICTN 930808-07-5939

Assignment 5

Q1

Answer : (a) = 0.05, p-value < 0.0005, p-value< , therefore H0 is rejected.

(b) The distributions of beginning salaries for females and males have different variances.

(c) From the table, we can make a conclusion that females earn less salary than males.

Group Statistics

Gender N Mean Std. Deviation Std. Error Mean

Beginning Salary Female 216 $13,091.97 $2,935.599 $199.742

Male 258 $20,301.40 $9,111.781 $567.275

Independent Samples Test

Levene's Test for

Equality of Variances t-test for Equality of Means

F Sig. t df

Sig. (2-

tailed)

Mean

Difference

Std. Error

Difference

95% Confidence Interval of

the Difference

Lower Upper

Beginning

Salary

Equal variances

assumed

105.969 .000 -11.152 472 .000 $-7,209.428 $646.447 $-8,479.698 $-5,939.158

Equal variances not

assumed

-11.987 318.818 .000 $-7,209.428 $601.413 $-8,392.667 $-6,026.188


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Q2

Paired Samples Statistics

Mean N Std. Deviation Std. Error Mean

Pair 1 Before 74.10 10 19.790 6.258

After 79.80 10 28.639 9.056

Paired Samples Test

Paired Differences

t df Sig. (2-tailed)Mean Std. Deviation Std. Error Mean

95% Confidence Interval of the

Difference

Lower Upper

Pair 1 Before - After -5.700 13.030 4.121 -15.021 3.621 -1.383 9 .200

Answer : (a) p-value = 0.1(1 tailed), = 0.05, p-value>, thus H0 is accepted.

(b) paired mean = -5.700, paired standard deviation = 13.030

(c) Yes, the course increases the typing speed of students because the mean from after is higher than the mean from before.

Paired Samples Correlations

N Correlation Sig.

Pair 1 Before & After 10 .919 .000


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Q3

Group Statistics

Geographical

location of the

house N Mean Std. Deviation Std. Error Mean

Appraised value Levittown 99 172.3414 16.92092 1.70062

Islip 84 154.8399 28.91792 3.15520

Independent Samples Test

Levene's Test for

Equality of Variances t-test for Equality of Means

95% Confidence Interval of the Difference

F Sig. t df Sig. (2-tailed) Mean Difference

Std. Error

Difference Lower Upper

Appraised

value

Equal variances

assumed

12.291 .001 5.084 181 .000 17.50153 3.44238 10.70917 24.29389

Equal variances

not assumed

4.883 129.008 .000 17.50153 3.58433 10.40986 24.59321

Answer : (a) p-value < 0.0005, = 0.02, p-value


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Question 4

Paired Samples Statistics

Mean N Std. Deviation Std. Error Mean

Pair 1 Before 82.93 14 4.999 1.336

After 77.93 14 4.009 1.071

Paired Samples Correlations

N Correlation Sig.

Pair 1 Before & After 14 .737 .003

Paired Samples Test

Paired Differences

t df Sig. (2-tailed)Mean Std. Deviation Std. Error Mean

95% Confidence Interval of the

Difference

Lower Upper

Pair 1 Before - After 5.000 3.397 .908 3.039 6.961 5.508 13 .000

Answer : p-value < 0.0005, = 0.05, p-value < , and thus H0 is rejected.

There is a significant difference between the after the program of aerobic exercise and resting heart rate before.

brandon lab 5.docx

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