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1. Mutual funds often compare their performance with a benchmark provided by an "index" that describes the performance of the class of assets in which the fund invests. For example, the Vanguard International Growth Fund benchmarks its performance against the EAFE (Europe, Australasia, Far East) index. The table below gives the annual returns (percent) for the fund and the index. Does the fund's performance differ significantly from that of its benchmark?
(a) Explain clearly why the matched pairs t test is the proper choice to answer this question.
(b) Do a complete analysis for the question that is posed here.
4. The design of controls and instruments affects how easily people can use them. A student project investigated this effect by asking 25 right-handed students to turn a knob (with their right hands) that moved an indicator by screw action. There were two identical instruments, one with right-hand thread (the knob turns clockwise) and the other with a left-hand thread (the knob turns counterclockwise). The table below gives the times in seconds each subject took to move the indicator a fixed distance.
(a) Each of the 25 students used both instruments. Discuss briefly how you would use randomization in arranging the experiment.
(b) The project hoped to show that right-handed people find right-hand threads easier to use. Do an analysis that leads to a conclusion about this issue.
The STATDisk results from analysis of variance using a 0.05 significance level are shown below. Identify the test statistic, critical value, and p-value. what do you conclude?
Five horses are running in a race. I bet that Hot Shot will win first place, and Urawinner will win second. What is the probability that I will win?
What are the main difference between the frequency distribution of continuous data and discrete data and how would you present a continuous data as though discrete?
Construct a 90 percent confidence interval for the proportion of all kernels that would not pop. Check the normality assumption.
A business man arrives on a randomly selected day in December. What is the probability that the temperature will be above?
To estimate the average time it takes to assemble a certain computer component, the industrial engineer at an electronic firm timed 40 technicians in the performance of this task, getting a mean of 12.73 minutes and a standard deviation of 2.06 mi..
The data is shown on the table. Is there a difference in mean SBP between treatments? Run the appropriate test at α= 0.05
If the population standard deviation of annual usage is 3,500 kwh, what is the probability that the sample mean will be each of the following?
Suppose that the sales manager of a large automotive parts distributor wants to estimate as early as April the total annual sales of a region.
A random sample of 50 men, 40% said they preferred walking up stairs than taking the elevator. In a random sample of 40 women
a mean of 20 minutes and a standard deviation of 3 minutes. how long does it take the slowest 10% of the students to walk from the dorms to the chemistry lab.
If probability of getting sample mean x less than unreported sample mean is 0.025, determine value of the unreported sample mean?
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