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A researcher wishes to determine if listening to classical music improves the concentration of office workers. To investigate this, he decides to see if office workers are able to complete a certain paper and pencil maze more quickly while listening to classical music. Suppose the time (in seconds) needed for office workers to complete the maze while listening to classical music follows a Normal distribution with mean and standard deviation = 4. Suppose also that in the general population the time needed to complete the maze (without listening to classical music) follows a Normal distribution with mean 40 and standard deviation = 4. The researcher, therefore, decides to test the hypotheses.
To do so, the researcher has 10,000 office workers complete the maze with classical music playing. The mean time for these workers is = 39.8 seconds and the -value less than 0.0001. It is appropriate to conclude which of the following?A. The researcher has strong evidence that for office workers, listening to classical music substantially improves the time it takes to complete the maze.B. The researcher has proved that for office workers, listening to classical music substantially improves the time it takes to complete the maze.C. The researcher has moderate evidence that for office workers, listening to classical music substantially improves the time it takes to complete the maze.D. None of the above.
Determine the chance between 39% and 41% of registered voters in sample are Democrats.
Chi-square test for independence of attributes - Describe why a x 2 test of the resulting contingency table is appropriate for such an investigation.
A confidence interval estimate for the population mean is given to be (41.16, 49.85). If the standard deviation is 16.290 and the sample size is 54, answer each of the following (show all work):
Test at the 1% significance level whether currently all adult men spend less than 11 hours per week watching sports on tv. Calculate the p-value for this problem and conduct the test using the p-value method.
For this same sample of n = 45, find out the width of confidence interval around population mean? Illustrate all work.
Suppose that population has normal distribution. Determine a 95 percent confidence interval for population standard deviation sigma.
Probability of Winning the Lottery: Because the California Fantasy 5 lottery is won by selecting the correct five numbers
A production line operates with a mean filling weight of 500 grams per container. Over filling or under filling presents a serious problem and when detected requires the operator to shut down the production line to readjust the filling mechanism.
What is the probability that the variable will take the value 2? What is the mean of the distribution?
According to recent surverys, 53% of households have personal computers. if a random sample of 175 households is selected, what is the probability that more then 75 but fewer than 110 have a personal computer?
Solve linear program graphically
A coin was flipped 60 times and came up heads 38 times. (a) At the .10 level of significance, is the coin biased toward heads? Show your decision rule and calculations. (b) Calculate a p-value and interpret it.
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