Question
A professor at a local university conducted a survey of 127 businesses in a city to determine what motivates small businesses to export their products.
A professor at a local university conducted a survey of 127 businesses in a city to determine what motivates small businesses to export their products. The CEOs were asked to respond to the statement"Management believes that the business can achieve economies of scale byexporting" on a scale of 1(strongly disagree) to 5(strongly agree). Summary statistics for the n =127 scale scores were reported as bar x 3.87 and s =1.2. In hisstudy, the professor hypothesized that if the true mean scale score exceeds 3.53 then CEOs at all businesses in the city generally agree with the statement. Complete parts a through c below
a. Conductthe appropriate test using =0.10. State your conclusion in the words of the problem.
State the null and alternative hypotheses.
Calculate the value of the test statistic.
Z =?(Round to two decimal places asneeded.)
Use technology to calculate thep-value =? (Round to three decimal places asneeded)
State the result of this test.
b,Explain why the results of thestudy, although"statistically significant," may not be practically significant
c. The scale scores for the sample of 127 businesses are unlikely to be normally distributed. Does this invalidate the inference you made in part a? Explain.
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