inferential research and statistics project

SAMPLE TEST STATISTICS 2

Sample Test Statistics

Patrice scope

PSY/315

University of Phoenix

Supervisor

In the analysis, the two-sample t-statistics were used, the test is used to carry out the mean difference of the two samples.

The null hypothesis: u- u= 0

Alternative hypothesis: u- u ≠ 0

The hypothesis consists of a two-tailed test. We will reject the null hypothesis if we obtain the between the sample mean to be too small or too large.

By use of the sample data that is available we shall compute the SE (standard error), degree of freedom, and the test statistics

SE= sqrt [(s12/n1) + (s22/n2)]

Therefore SE= 047096

D.F = 49 obtained from the calculator

t = [(x1 - x2) - d ] / SE

t= -3.65

Where S1 represent standard deviation for sample 1, and S2 is that of sample 2, n1 is the sample size of 1 and n2 represent that of 2. The d that was used in this scenario represents the hypothesized difference the standard error, and the population means

since we are using two-tailed statistics the p-value is the probability of having t statistic to be 49 degrees of freedom and obtain -3.6. Thus, the p-value is 0.0000636

What is the significance level of the comparison?

In this test, we are going to use o.05 level of significant. The sample data will be used to conduct a two-sample t-test for the null hypothesis.

What was the means and variance for each variable?

The two variables resulted in different means and variance. Mean, and sample variances were observed directly from the table of analysis. The mean of ADKAR is 5.61 while that of Prosci was obtained to be 7.23667 from the sample of the information that is obtained.

What was the alpha level you identified in Week 3?

In week three, we took the alpha level to be taken as α= 0.05, this thus representing 0.10 level of significance.

 What was the test statistic?

The t-statistic in this variable was obtained to be -1.921237697 for the population.

What was the critical value for both the one- and two-tailed test?

The critical value of two value obtained for both one tailed and two tailed samples is 1.33445889, and that of two-tailed was obtained to be 1.335.

Were you able to reject the null hypothesis? In other words, did you prove there was a difference?

We obtained the p-value to be 0.000636, which is less than the significance level (0.10); thus, we reject the null hypothesis. There is a huge difference between the two samples. Therefore, the test concludes that the mean of ADKAR and that of Prosci are significant different

Talk about what these results mean in everyday language and context to your chosen scenario

The result from t-statistic shows there is a high difference between the two changes, and thus, a lot of changes is expected if the firm decides to implement any of the changes. Human being responds slowly to the changes, and therefore this makes it hard for the organization to implement changes effectively. Adoption of policy will mean a lot of things must deviate from people regular conducts.

Make a recommendation based on the findings.

In conclusion, according to the result and observation, I would recommend the organization not to make changes since these changes are going to affect how workers operate directly, and thus, this may affect the workers. Workers are not used to this change, and it makes them change their ways of doing a thing, and thus it's essential to consider finding an alternative way to respond to what is affecting the organization rather than implementing these changes.