Multiple Sample Hypothesis

1. (a) · AHE = 3.32 + 0.45 × Age (0.97) (0.03) The t-statistic is 0.45/0.03 = 13.71, which has a p-value of 0.000, so the

a. Age, education, and geographic location can all play a role in personal income. Lower

The t-test is a parametric analysis technique used to determine significant differences between the scores obtained from two groups. The t-test uses the standard deviation to estimate the standard error of the sampling distribution and examines the differences between the means of the two groups. Since the t-test is considered fairly easy to calculate, researchers often use it in determining differences between two groups. When interpreting the results of t-tests, the larger the calculated t ratio, in absolute value, the greater the difference between the two groups. The significance of a t ratio can be determined by comparison with the critical values in a

At one school, the average amount of time that tenth-graders spend watching television each week is 18.4 hours. The principal introduces a campaign to encourage the students to watch less television. One year later, the principal wants to perform a hypothesis test to determine whether the average amount of time spent watching television per week has decreased. Formulate the null and alternative hypotheses for the study described.

Step 1: Null Hypothesis: The average (mean) number of years lived in the current home is equal to 8 years.

Fry Brothers heating and Air Conditioning, Inc. employs Larry Clark and George Murnen to make service calls to repair furnaces and air conditioning units in homes. Tom Fry, the owner, would like to know whether there is a difference in the mean number of service calls they make per day. Assume the population standard deviation for Larry Clark is 1.05 calls per day and 1.23 calls per day for George Murnen. A random sample of 40 days last year showed that Larry Clark made an average of

I have determined that the 95% Lower Confidence Bound is 42.61 and the for actual population mean is greater than 42.61 with a probability 0.95.

2 Adults (1 male, 1 female), Children 5, 8 & 12 (boys ) and 1 grandparent (female). The family’s socioeconomic and financial status is middleclass. Both parents have decent jobs and it allows them to provide for their family without struggle.

A two-sample t-test is a hypothesis test that is used to compare if there is a difference between two groups. One of the first steps in a two-sample t-test is to establish a hypothesis. The two-sample test helps to answer hypotheses that question how the results of one group that may already be in place compare to the results of another group that is new. The two-sample hypothesis test is a common hypothesis test used in many industries.

I am confident based on the statistics that the mean for the income did increase due to the average income equal to 119,155 being rejected during the null hypothesis test. The possibility of selecting a sample with an average income equal to or less than 119,155 is highly unlikely due to the calculated p-value of .0011, which is an 0.11%. Furthermore, there is sufficient evidence that is presented, that does not reject the alternative hypothesis, while in fact the alternative hypothesis has a 99.98% possibility in occurring when choosing a population sample.

Be able to develop interval estimates and conduct hypothesis tests about the difference between two population means whenandare known.

Since 3.27 the t statistic is in the rejection area to the right of =1.701, the level of

The purpose of the assignment is to review basic hypothesis testing and regression techniques. There is an appendix in your textbook, Appendix C: Using Excel to Conduct Analysis, which may help you with running regressions in Microsoft Excel. You may also wish to use a basic statistics text for guidance if needed. I have also provided you with a table with the t distribution.

Our team then made our decision that because the test statistic of 18.51 is far greater then that of the Chi-square value at v = 4,  = .05 in Appendix E, we must reject the null hypothesis that all c populations are the same (2007). These results can be viewed in Appendix D, where at the significance level of .05, it shows the Chi-square of 25.75, which is still far above the level for the team to reject the null hypothesis that all c population medians are the same. The team continues the research by giving details to the nonparametric test we used and why we opted to use it.

Running the Analyses In this example we present the steps for using One-Sample T Test... data analysis procedure to determine whether a sample mean is significantly different from a criterion value (in this case the population mean). Before you can run this type of analysis you will need to know the value that you want to