assignment of inferntial statistics

7/29/2019 Assignment of Inferntial Statistics

1/17

Assignment

One Sample And Two SampleTest of Hypothesis on SPSS

Submitted by:Hafiz Azher Abbas

(MCH12011)

Submitted to:

Professor Saifullah Gill Sab

University of the Punjab

Gujranwala Campus


2/17

Q# 3Step#1

Ho : = 3 (the mean current ratio for entire sample of firm)

Ho : 3

Step#2

Level of significance is 5% or .05

Tests of Normality

Kolmogorov-Smirnova

Shapiro-Wilk

Statistic df Sig. Statistic df Sig.

Current ratio .314 91 .000 .386 91 .000

a. Lilliefors Significance Correction

Data is normal and parametric test can be applied as its significance is .000.

On .5 level of significance.

One-Sample Test

Test Value = 3

t df Sig. (2-tailed)

Mean

Difference

95% Confidence Interval of theDifference

Lower Upper

Current ratio .194 90 .847 .12681 -1.1725 1.4262

The result is .847shows , we do not reject NULL HYPOTHESIS and the mean value for entire

sample of firm is equal to 3.


3/17

Q= 4Step#1

Ho: = 3

Ho: 3

Step#2


Tests of Normality

Kolmogorov-Smirnova

Shapiro-Wilk


Current ratio .208 35 .001 .728 35 .000


Data is normal and parametric test can be applied as its significance is .001.

On .5 level of significance.

One-Sample Statistics

N Mean Std. Deviation Std. Error Mean

SIC Code 35 2086.00 .000a

.000

T test cannot be computed because the standard deviation is 0.


4/17

Q= 5Step#1

Ho : = 3

H1 : 3

Step#2


One-Sample Statistics

N Mean Std. Deviation Std. Error Mean

SIC Code 27 2082.00 .000a

.000

T TEST cannot be computed because the standard deviation is 0.


5/17

Q= 6Step#1

Ho : = (Blood pressure reading is within 90 t0 140)

Ho : (Blood pressure reading is not within 90 t0 140)

Step#2


Tests of Normality

Kolmogorov-Smirnova

Shapiro-Wilk


systolic bp rest .038 181 .200*

.979 181 .007

diastolic bp rest .037 181 .200*

.996 181 .950

Data is normal of systolic PB rest and can apply the parametric test

because its significance result is .007.

One-Sample Test

Test Value = 50

95% Confidence Interval of the

Difference

t df Sig. (2-tailed) Mean Difference Lower Upper

systolic bp rest 87.657 180 .000 69.04420 67.4900 70.5984

diastolic bp rest 30.060 180 .000 17.38881 16.2474 18.5303

We apply the one sample t test. The result is .000. This value fall is rejection

region. So we do reject NULL HYPOTHESIS and Blood pressure reading is not

within 90 t0 140.


6/17

Q= 7Step#1

Ho : = 72 (normal resting heart rate is 72)

Ho : 72 (normal resting heart rate is not 72)

Step#2


Tests of Normality

Kolmogorov-Smirnova

Shapiro-Wilk


heart rate mental arithmetic .062 179 .094 .984 179 .036

Data is normal of resting heart rate and can apply the parametric test because its

significance result is 0.094 and our significance level is 0.10.

One-Sample Test

Test Value = 72

t df Sig. (2-tailed)

Mean

Difference

95% Confidence Interval of

the Difference

Lower Upper

systolic bp mental

arithmetic

53.505 177 .000 55.97378 53.9093 58.0383

We apply the one sample t test. The result is .000. This value fall is rejection

region. So we reject NULL HYPOTHESIS and normal resting heart rate is not 72.Two Sample Test of Hypothesis

Student.


7/17

Case Processing Summary

Gender

Cases

Valid Missing Total

N Percent N Percent N Percent

Hours worked per week at

paid job

F 96 100.0% 0 .0% 96 100.0%

M 122 99.2% 1 .8% 123 100.0%

Descriptives

Gender Statistic Std. Error


paid job

F Mean 9.4375 .99078

95% Confidence Interval for

Mean

Lower Bound 7.4706

Upper Bound 11.4044

5% Trimmed Mean 8.6690

Median 8.0000

Variance 94.238

Std. Deviation 9.70763

Minimum .00

Maximum 45.00

Range 45.00

Interquartile Range 15.00

Skewness .980 .246

Kurtosis .713 .488

M Mean 7.7295 1.03646


Mean

Lower Bound 5.6776

Upper Bound 9.7815


Median .0000

Variance 131.058


Minimum .00


8/17

Maximum 60.00

Range 60.00

Interquartile Range 12.88

Skewness 1.866 .219

Kurtosis 3.911 .435

Tests of Normality

Gender

Kolmogorov-Smirnova

Shapiro-Wilk



paid job

F .189 96 .000 .870 96 .000

M .291 122 .000 .722 122 .000


Data is normal because p-value is .000 and we accept alternative hypothesis.

H0 : m f

H1 : m = f

is 5%Test statistic

Group Statistics

Gender N Mean Std. Deviation Std. Error Mean


paid job

F 96 9.4375 9.70763 .99078

M 122 7.7295 11.44808 1.03646

endent Samples Test

Levene's Test for Equality of Variances t-test for Equality of M


9/17

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

Mean

Difference Std. Error Diffe

worked per

t paid job

Equal

variances

assumed

1.119 .291 1.16

8

216 .244 1.70799

Equal

variances not

assumed

1.19

1

214.763 .235 1.70799

Decision:

As p-value is .244 with 5% significant level so we do not reject null hypothesis.

College:

1.

Test of normality:

Case Processing Summary

Public/Pri

vate

School

Cases

Valid Missing Total

N Percent N Percent N Percent

Avg Combined SAT Public 251 53.4% 219 46.6% 470 100.0%

Private 528 63.5% 304 36.5% 832 100.0%

Descriptives

Public/Private School Statistic Std. Error

Avg Combined SAT Public Mean 945.27 6.782


Mean

Lower Bound 931.91

Upper Bound 958.63


Median 946.00

Variance 11545.942



10/17

Minimum 660

Maximum 1240

Range 580

Interquartile Range 137

Skewness .231 .154

Kurtosis .085 .306

Private Mean 978.77 5.625


Mean

Lower Bound 967.72

Upper Bound 989.82


Median 965.00

Variance 16705.345


Minimum 600

Maximum 1410

Range 810

Interquartile Range 158

Skewness .546 .106

Kurtosis .658 .212

Tests of Normality

Public/Pri

vate

School

Kolmogorov-Smirnova

Shapiro-Wilk


Avg Combined SAT Public .043 251 .200*

.991 251 .125

Private .055 528 .001 .978 528 .000


*. This is a lower bound of the true significance.

For pvt schools data is normal.

H0 : p pvt


11/17

H1 : p = pvt

is 5%

Test statistic

Group Statistics

Public/Pri

vate

School N Mean Std. Deviation Std. Error Mean

Avg Combined SAT Public 251 945.27 107.452 6.782

Private 528 978.77 129.249 5.625

Independent Samples Test

Levene's Test for Equality of

Variances t-test

F Sig. t df Sig. (2-ta

Avg Combined SAT Equal

variance

s

assume

d

7.131 .008 -3.562 777

Equal

variance

s not

assume

d

-3.802 581.641

We accept alternative hypothesis.

2.

Test of normality:

Tests of Normality

Public/Pri Kolmogorov-Smirnova

Shapiro-Wilk


12/17

vate

School Statistic df Sig. Statistic df Sig.

% of new students from top

10% of HS class

Public .164 340 .000 .794 340 .000

Private .135 727 .000 .873 727 .000


H0 : p pvt

H1 : p = pvt

is 5%

Test statistic

Group Statistics

Public/Pri

vate


% of new students from top

10% of HS class

Public 340 21.75 17.937 .973

Private 727 27.51 18.210 .675


Levene's Test

for Equality of

Variances t-tes


% of new students from top 10%

of HS class

Equal

variances

assumed

1.513 .219 -4.834 1065 .000


13/17


Levene's Test

for Equality of

Variances t-tes


% of new students from top 10%

of HS class

Equal

variances

assumed

1.513 .219 -4.834 1065 .000

Equal

variances

not

assumed

-4.861 671.70

7

.000


3.

Test of normality:

Tests of Normality

Public/Pri

vate

School

Kolmogorov-Smirnova

Shapiro-Wilk


Number of full-time

undergraduates

Public .131 467 .000 .866 467 .000

Private .221 832 .000 .573 832 .000


Data is normal because p-value is .000

H0 : p pvt

H1 : p = pvt

is 5%

Test statistic

Group Statistics


14/17

Public/Pri

vate


Number of full-time

undergraduates

Public 467 7203.69 5602.181 259.238

Private 832 1721.93 1961.644 68.008



Variances

F Sig. t df Si

Number of full-time

undergraduates

Equal variances assumed 483.571 .000 25.575 1297

Equal variances not

assumed

20.454 530.938


4.

Test of normality:

Tests of Normality

Public/Pri

vate

School

Kolmogorov-Smirnova

Shapiro-Wilk


In-state tuition Public .090 447 .000 .791 447 .000

Private .059 825 .000 .984 825 .000



H0 : p pvt

H1 : p = pvt


15/17

is 5%Test statistic

Group Statistics

Public/Pri

vate


In-state tuition Public 447 2208.26 1041.720 49.272

Private 825 10979.68 4057.325 141.258



Variances

F Sig. t df

Sig. (2-

tailed)

In-state tuition Equal variances assumed 428.333 .000 -44.905 1270 .000 -87

Equal variances not

assumed

-58.631 1009.106 .000 -87


5.

Test of normality:

Tests of Normality

Public/Pri

vateSchool

Kolmogorov-Smirnova

Shapiro-Wilk


% of students graduating in 4

yrs

Public .037 434 .168 .993 434 .039

Private .029 770 .165 .990 770 .000



16/17

Data is non normal so we cannot apply parametric test.

GSS94:

Test of normality:

Tests of Normality

RESPOND

ENTS SEX

Kolmogorov-Smirnova

Shapiro-Wilk


HOURS PER DAY

WATCHING TV

MALE .190 810 .000 .834 810 .000

FEMALE .180 1155 .000 .819 1155 .000



H0 : m w

H1 : m = w

is 5%

Test statistic

Group Statistics

RESPOND

ENTS SEX N Mean Std. Deviation Std. Error Mean

HOURS PER DAY

WATCHING TV

MALE 810 2.71 1.810 .064

FEMALE 1155 2.90 2.179 .064



Variances


17/17

F Sig. t df S

HOURS PER DAY

WATCHING TV

Equal variances assumed 11.989 .001 -2.103 1963 .03

Equal variances not

assumed

-2.172 1907.484 .03

We accept alternative hypothesis because p-value is less than the significant level.

assignment of inferntial statistics

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