c)  Define the population parameter in context in one sentence. d)  State the null and alternative hypotheses using correct notation. e)  Calculate the test statistic. Please do this “by hand” using the formula and showing your work (please type your work). Use the values you obtained in part (b). Round the test statistic to three decimal places.

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  1. c)  Define the population parameter in context in one sentence.

  2. d)  State the null and alternative hypotheses using correct notation.

  3. e)  Calculate the test statistic. Please do this “by hand” using the formula and showing your work (please type your work). Use the values you obtained in part (b). Round the test statistic to three decimal places.

Two sample T confidence interval:
: Mean of Company
µ2 : Mean of Software
u1 - 12 : Difference between two means
(without pooled variances)
90% confidence interval results:
Difference Sample Diff. Std. Err.
DF
L. Limit
U. Limit
H1 - H2
172.73333
773.77 27.870925 -1143.7593 1489.2259
Summary statistics:
Column
Mean
Std. dev.
Company
|-89.47
2189.97
Software
-262.2
2045.68
Transcribed Image Text:Two sample T confidence interval: : Mean of Company µ2 : Mean of Software u1 - 12 : Difference between two means (without pooled variances) 90% confidence interval results: Difference Sample Diff. Std. Err. DF L. Limit U. Limit H1 - H2 172.73333 773.77 27.870925 -1143.7593 1489.2259 Summary statistics: Column Mean Std. dev. Company |-89.47 2189.97 Software -262.2 2045.68
Every year, Americans fill out their tax return forms (this year, Tax Day was moved until May
17). A new tax preparation company wanted to advertise that their company would save the
average individual money compared to an individual using an online tax preparation software.
To determine if there was evidence to support their claim, the company decided to conduct an
experiment. In the experiment, a random sample of 15 American tax filers was selected and their
taxes were prepared by the company's most senior accountant as well as from the software (both
free of charge). To keep the software preparation uniform, one independent accountant prepared
each of the 15 tax filers' taxes in the same way without knowledge of the company's work. The
data set is called "Tax Preparation Savings" and data are presented in dollars. Negative values
are the amount an individual tax filer would have to pay. Assume all conditions hold and use a
significance level of 0.10 when you test the hypothesis.
Transcribed Image Text:Every year, Americans fill out their tax return forms (this year, Tax Day was moved until May 17). A new tax preparation company wanted to advertise that their company would save the average individual money compared to an individual using an online tax preparation software. To determine if there was evidence to support their claim, the company decided to conduct an experiment. In the experiment, a random sample of 15 American tax filers was selected and their taxes were prepared by the company's most senior accountant as well as from the software (both free of charge). To keep the software preparation uniform, one independent accountant prepared each of the 15 tax filers' taxes in the same way without knowledge of the company's work. The data set is called "Tax Preparation Savings" and data are presented in dollars. Negative values are the amount an individual tax filer would have to pay. Assume all conditions hold and use a significance level of 0.10 when you test the hypothesis.
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