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Team Paperwork

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Submitted By melindapogue
Words 810
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Statistical problems
Please help in answering the following questions and please show me how the answers were arrived at for my continued learning experience:

Faced with rising fax costs, a firm issued a guideline that transmissions of 10 pages or more should be sent by 2-day mail instead. Exceptions are allowed, but they want the average to be 10 or below. The firm examined 35 randomly chosen fax transmissions during the next year, yielding a sample mean of 14.44 with a standard deviation of 4.45 pages. (a) At the .01 level of significance, is the true mean greater than 10? (Please show answer in Excel format to find the right-tail p-value.
Answer
The test statistic used is
H0: True population mean ( =10
H1: True population mean ( >10
The test statistic used is [pic]
Decision rule: Reject the null hypothesis, if the calculated value of test statistic is greater than the critical value of t.
Details
|t Test for Hypothesis of the Mean |
| | |
|Data |
|Null Hypothesis μ= |10 |
|Level of Significance |0.01 |
|Sample Size |35 |
|Sample Mean |14.44 |
|Sample Standard Deviation |4.45 |
| | |
|Intermediate Calculations |
|Standard Error of the Mean |0.752187287 |
|Degrees of Freedom |34 |
|t Test Statistic |5.902785222 |
| | |
|Upper-Tail Test | |
|Upper Critical Value

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