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Consider the function f(x)=x^3-2x+4 on the interval [-2,2] with h=0.25. Use the forward, backward, and centered finite difference approximations for the first and second derivatives so as to graphically illustrate which approximation is most accurate. Graph all three first-dervative finite difference approximations along with the theoretical, and do the same for the second derivative as well.
A researcher is interested in the relationship between caffeine consumption and activity level for elementary school children. A sample of 20 children is obtained and the children are separated into two roughly equivalent groups.
What is the computed z-value for testing the null hypothesis that the proportion of successes in Population 1 exceeds the proportion of successes in Population
Conduct a hypothesis test to see whether the returns for mid-cap growth funds over the same period are significantly different from the average for U.S. Diversified Equity funds.
A standard deviation of 350 hours. the manufacturer is considering a warranty. what proportions of the screens have a life between 1500 and 2500 hours?
A researcher was interested in the emotional effects of music on exam performance. Before their exam, a professor took one group of students into a room in which calming music was played.
From historical data, Harry's Car Wash estimates that dirty cars arrive at the rate of 10 per hour all day Saturday. With a crew working the wash line, Harry figures that cars can be cleaned at the rate of one every 5 minutes.
At the start of the study the mean of the group was 24 and the end of the study the mean of the group was 30. The standard deviation of the difference scores was 12.0 and we had 16 subjects.
Find the critical value to determine if there is enough evidence to conclude that the number of minutes spent online per day is related to gender.
If 134 out of a random sample of 235 college students expressed an intent to vote, can we reject the aide's estimate at the 0.05 level of significance? Perform a one-tailed test.
Graph the p.d.f and show that the probability of the part failing in the first 200 weeks is 1/8
The scores of college-bound senior men on the math part of the SAT followed a normal distribution with mean 527 and standard deviation 116.
a computer system allows user ids that are three four or five characters long. repeated characters are allowed. the
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