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A researcher predicts that watching a film on institutionalization will change students' attitudes about chronically mentally ill patients. The researcher randomly selects 36 students, shows them the film, and gives them a questionnaire about their attitudes. The mean score on the questionnaire for these 36 students is 70. The score for people in general on this questionnaire is 75, with a standard deviation of 12. Using the five steps of hypothesis testing and the 5% significance level (alpha), does showing the film change students' attitudes towards the chronically mentally ill?
a. What is your null hypothesis? Alternate hypothesis?b. Is this a one-tailed or two-tailed hypothesis?c. What is your obtained z?d. What is the criterion z?e. Do you reject or fail to reject the null hypothesis?f. State in words what you have found.
4th graders in the US take a standardized test for math. The national average score is 237. Did your state, as represented by your students, out perform the national average using a statistically significant measure?
If light bulbs have lives that are normally distributed with a mean of 2500 hours and a standard deviation of 500 hours, what percentage of light bulbs have a life less than 2500 hours?
Telephone calls arrive at a switchboard in a Poisson process at the rate of 2 per minute. A random one-tenth of the calls are long distance.
Suppose that nine additional firms will be added to the bankruptcy rolls during the next quarter. How many of those failures are likely to be attribute to fraud?
An investment project is expected to earn $100,000 on average with a standard deviation of $50,000. Assume earnings from this investment project is a normal distribution. Of the next 15 people that invest in this project, what is the probability t..
Compute the 95% confidence interval for the proportion of adults who are planning to buy a new car in the next 6 months.
Suppose that on a 100-point test, the goal is for the students' exam scores to have a standard deviation of less than 10 pts. A recent sample of 22 exams has a standard deviation of 12.1. Use alpha = 0.05.
The mean return on investment is 25 percent and the standard deviation 5.2 percent. Compare the relative dispersion for the price-earnings ratios and return on investment.
At the 0.05 level of significance, is there sufficient reason to believe that the integers are not being generated uniformly?
Decision making under risk is the same as decision making under uncertainty because in both the probabilities are unknown.
Students in the social work course received the following course grades. Create a frequency distribution for this data. Compute the mean. Determine the median.
Product while 43 out of 80 females preferred it. Compute the test statistic and use technology to find the corresponding p-value based on this test.
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