Question

Using TI 83 Calculator Only

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1. The average work week for engineers in a start-up company is believed to be about 60 hours. A newly hired engineer hopes that it’s shorter. She asks 10 engineering friends in start-ups for the lengths of their average work weeks. Based on the results that follow, should she count on the

average work week to be shorter than 60 hours?

Data (length of average work week): 70; 45; 55; 60; 65; 55; 55; 60; 50; 55.

2. A poll done for Newsweek found that 13% of Americans have seen or sensed the presence of an

angel. A contingent doubts that the percent is really that high. It conducts its own survey. Out of 76 Americans surveyed, only 2 had seen or sensed the presence of an angel. As a result of the continent's survey, would you agree with the Newsweek poll? In complete sentences, also give three reasons why the two polls might give different results.

Answer 1

1)

Claim: The average workweek to be shorter than 60 hours

The null and alternative hypothesis is

Level of significance = 0.05

By using the TI-84 calculator we have to solve this question.

First, enter data in TI-84 calculator.

Click on STAT -----------> Edit --------->Enter data into L1

Then click on STAT ------> TESTS -------> T-Test -------> Data -------->

: 60

List: L1

Freq: 1

Calculate

We get

Test statistic t = - 1.33

P-value = 0.1086

P-value > 0.05 we fail to reject null hypothesis.

Conclusion:

The average workweek not shorter than 60 hours

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