STATISTICS

Statistics

Statistics

Week 7 - Single-Sample T Test

Variable

Total dollars spend per month in restaurants for food.

Hypothesis

Ho: µspending = $150

HA: µspending ? $150

Probability

It is expected that the null hypothesis of the study will be accepted as the probability of the given variable should be less than 0.05.

Sample Size

The sample size of the study is 400 as the data from 400 participants is collected in order to make the results reliable and valid.

Hypothetical Result

One Sample Test

Test Value = 150

t

df

Sig. (2-tailed)

Mean Difference

95% Confidence Interval of the Difference

Lower

Upper

How many total dollars an individual spend each month in restaurants for the meals?

-10.675

399

.005

$-49.64750

$-59.124

$-40.627

The one sample test shows that alternate hypothesis is rejected as the significance value is under 0.05. Keeping this in view, it can be said that it is expected that on average people spend $150 a month on food.

Week 8 - Independent-Samples or Related-Samples T Test

Variables

The variables that are included in the study entail the following:

Prior violent conviction

Age at arrest

Independent-Samples

Independent sample t test is used to determine whether differences in average can be explained by chance or by an alternative hypothesis.

It may be used for individual selection (single samples) and for correlated groups (correlated groups) as well as independent groups (independent groups).

Independent sample t test similar to the z-test but need not be the standard deviation and it is used more than the Z-test (Cohen, 2003).

Hypothesis

Ho: There is an association between the prior violent conviction and age of arrest.

Probability

It is expected that the null hypothesis of the study will be accepted as the probability of the given variable should be less than 0.05.

Sample Size

The sample size which is selected for the study is 44 in order to make the results authentic.

Hypothetical Result

Independent Samples Test

Levene Test

t - test for Equality of Means

F

Sig.

t

df

Sig. (2 - tailed)

Mean Difference

Std. Error Difference

95 % CI of the Difference

Lower

Upper

Age At Arrest

Equal variances assumed

.713

.310

- .763

43.1

.414

- 2.217

3.121

- 8.522

3.689

Equal variances not assumed

- .741

42.99

.469

- 2.217

3.991

- 8.458

3.124

The significance level of Levene test value is above 0.05 that is 0.3 which reflects the unpredictability in the prior violent conviction which is about the same as age at arrest in prior violent conviction in first group does not vary too much more than the age at arrest in second group. For that reason, it shows that the unevenness in the prior violent conviction is insignificant. Therefore, there is an association between age at arrest and prior violent conviction.

Week 9 - One Way Analysis of Variance

Variables

Mean of English score

Mean of History score

Mean of Math score

Hypothesis

H0: µ English score = µ History score = µ Math score

Confidence Intervals

The confidence interval for the one-way analysis of variance should be less than 0.05 so that the mean values of the scores get equal.

Sample Size

The sample size which is selected for the study is 44 in order to make the results authentic.

Week 10 - Interpretation of Correlation

Research Question

Does a child's size of shoe increases with his age?

Variables

The variables that are taken into consideration include:

Children Shoe Size

Age of the Children

Hypothesis ...