Discussion on stereo music

Assignment
Before contracting to have stereo music piped into each of his suites of offices, an executive had his office manager randomly select seven offices in which to have the system installed in the hopes of increasing productivity

1) Before contracting to have stereo music piped into each of his suites of offices, an executive had his office manager randomly select seven offices in which to have the system installed in the hopes of increasing productivity. The average time (in minutes) spent outside these offices (not working) per excursion among the employees involved was recorded before and after the music system was installed with the following results

Would you suggest that the executive proceed with the installation? Conduct an appropriate test of hypothesis. Find the p-value and interpret your results.

2) We investigate whether Mars Inc. uses the same proportion of red M&Ms in its plain and peanut varieties. Random samples of plain and peanut M&Ms provide the data shown below. Use a test of hypothesis to determine whether the proportion of red candies is larger for the plain variety

3) The table below shows overall scores, based on a maximum score of 100, for four wireless providers in four different cities. Are there significant differences in the average satisfaction scores for the four wireless providers?

4) The braking ability was compared for two 2005 automobile models. Random samples of 64 automobiles were tested for each type. The recorded measurements was the distance (in meters) required to stop when the brakes were applied at 80 km/h. Do the data provide sufficient evidence to indicate that the breaking distance for model II is inferior to the braking distance for model I?

5) Weights (in kg) of poplar trees were obtained from trees planted in a rich and moist region. The trees were given different treatments identified in the table below. Use a 0.05 significance level to test the claim that the four treatment categories yield poplar trees with the same weight. Is there a treatment that appears to be more effective?

6) An experiment was conducted to test the effects of alcohol. The errors recorded in a test of visual and motor skills for a treatment group of people who drank ethanol and another group given a placebo. Use a 0.03 significance level to test the claim that the two groups come from populations with the same mean. Test with the p-value method. Do these results support the common belief that drinking is hazardous for drivers, pilots, ship captains, and so on?

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