7. You want to test whether there is a statistically significant difference in the stock market forecasts of economists versus stockbrokers. A random sample of 36 economists and 25 stockbrokers were asked to report their forecast for the Dow Jones Industrial average for one year from today. Forecasters Number Average Forecast Economists 36 11200 750 Stockbrokers 25 10700 375 a. Is there a statistically significant difference between the forecasts of the economists and the stockbrokers or can the reported difference be attributed to sampling error? Perform a hypothesis test to answer this question and use a 5% significance level. Be sure to include all 4 steps of the hypothesis testing process and to interpret your result. b. Use these data to compute a 95% confidence interval for the difference in the population average forecasts for economists versus stockbrokers. Can you rule out the hypothesis that the stock market forecasts of stockbrokers and economists have the same mean by looking at this interval?

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7. You want to test whether there is a statistically significant difference in the stock market
forecasts of economists versus stockbrokers. A random sample of 36 economists and 25
stockbrokers were asked to report their forecast for the Dow Jones Industrial average for one
year from today.
Forecasters
Number
Average Forecast
S
Economists
36
11200
750
Stockbrokers
25
10700
375
a. Is there a statistically significant difference between the forecasts of the economists and the
stockbrokers or can the reported difference be attributed to sampling error? Perform a hypothesis
test to answer this question and use a 5% significance level. Be sure to include all 4 steps of the
hypothesis testing process and to interpret your result.
b. Use these data to compute a 95% confidence interval for the difference in the population average
forecasts for economists versus stockbrokers. Can you rule out the hypothesis that the stock
market forecasts of stockbrokers and economists have the same mean by looking at this interval?
Transcribed Image Text:7. You want to test whether there is a statistically significant difference in the stock market forecasts of economists versus stockbrokers. A random sample of 36 economists and 25 stockbrokers were asked to report their forecast for the Dow Jones Industrial average for one year from today. Forecasters Number Average Forecast S Economists 36 11200 750 Stockbrokers 25 10700 375 a. Is there a statistically significant difference between the forecasts of the economists and the stockbrokers or can the reported difference be attributed to sampling error? Perform a hypothesis test to answer this question and use a 5% significance level. Be sure to include all 4 steps of the hypothesis testing process and to interpret your result. b. Use these data to compute a 95% confidence interval for the difference in the population average forecasts for economists versus stockbrokers. Can you rule out the hypothesis that the stock market forecasts of stockbrokers and economists have the same mean by looking at this interval?
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