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Question: Visual search study. When searching for an item (e.g., a roadside traffic sign, a lost earring, or a tumor in a mammogram), common sense dictates that you will not reexamine items previously rejected. However, researchers at Harvard Medical School found that a visual search has no memory (Nature, August 6, 1998). In their experiment, nine subjects searched for the letter ‘‘T'' mixed among several letters ‘‘L.'' Each subject conducted the search under two conditions: random and static. In the random condition, the location of the letters were changed every 111 milliseconds; in the static condition, the location of the letters remained unchanged. In each trial, the reaction time (i.e., the amount of time it took the subject to locate the target letter) was recorded in milliseconds.
(a) One goal of the research is to compare the mean reaction times of subjects in the two experimental conditions. Explain why the data should be analyzed as a paired-difference experiment.
(b) If a visual search has no memory, then the main reaction times in the two conditions will not differ. Specify H0 and Ha for testing the ‘‘no memory'' theory.
(c) The test statistic was calculated as t = 1.52 with p-value = .15. Make the appropriate conclusion.
Consider a small population of N = 5 units, labeled 1, 2, 3, 4, 5, with respective y-values 3, 1, 0, 1, 5. Consider a simple random sampling design with a sample size n = 3.
the data below are yields for two different types of corn seed that were used on adjacent plots of land. assume that
Test whether there is a statistical difference between the two proportions at the 5% significance level.
Determine the mean, median, and the standard deviation. Determine the coefficient of skewness using Pearson's method. Determine the coefficient of skewness using the software method.
The Daytona Beach Tourism Commission is interested in the average amount of money a typical college student spends per day during Spring Break.
A random sample of rivets from 2 suppliers were compared to see what the mean diameter was from each and a test to determine whether the population means were the same for the 2 suppliers. Now a comparison of the variation in diameter is needed.
You are interested in knowing if there is a statistical difference in driving speeds between Day 1 and Day 10. Which statistical test would be appropriate? Why?
Providing specific examples, discuss how information contained with the stockholder's equity statement and the cash flow statement can be used for decision-making.
There is growing concern that Americans are generating too much trash. - Find a 98% confidence interval for the true mean amount of trash generated by an American household per week.
After the education program, 58 of the physicians in the control group prescribed the analgesic and 42 in the education group. Test for no difference in the proportion prescribing the analgesic at the α = .05 level.
Let X and Y be random variables such that var (X) = 4, var ( Y) = 2, and var (X + 2Y) = 15. Determine the correlation coefficient of X and Y.
Two independent samples of sizes n1 = 50 and n2 = 50 are randomly selected from two populations to test the difference between the population means. The sampling distribution of the sample mean difference, is:
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