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A researcher wants to determine if the average performance on a standardized business management test is significantly less for students with undergraduate degrees in engineering as compared with the students with undergraduate degrees in liberal arts. The data on the sample sizes, the means of independent samples from the two populations, and the standard deviations are summarized below:
Engineering Liberal Arts1 = 21.45 2 = 24.6σ1 = 3.46 σ2 = 2.99n1 = 50 n2 = 50
If the level of significance is 0.05, what is critical value to set up the decision rule to test the claim that the liberal arts students perform better than engineering students on average?
2.33
2.57
1.28
1.96
1.65
State the decision rule for .05 significance level. (Round your answer to 3 decimal places.)
A report states that 46% of home owners have a vegetable garden. How large a sampl.e is needed to estimate the true proportion of home owners who have vegetable gardens to within 4 percentage points with 95% confidence?
Conceptually we would expect the probability of newborn males and females to be the same. However, census reports indicate that the ratios of males and females in various countries do not conform to the theoretical prediction.
Recent studies indicate that the typical 50-year-old woman spends $350 per year for personal-care products. The distribution of the amounts spent is positively skewed.
Is it sensible to conclude that this set of n=16 people is not representative random sample of registered voters?
In 1965, a newspaper carried a story about a high school student who reported getting 9207 heads and 8743 tails in 17,950 coin tosses. Is this a significant discrepancy from the null hypothesis H 0 = 1/2.
Assume that 12 percent of adults in this country have filed for bankruptcy at some point in their life.
Make a decision using the p-value approach at the given α = 0.05.
The rate of defects among CD players of a certain brand is 1.1%. Use the Poisson approximation to the binomial distribution to find the probability that among 240 such CD players received by a store, there is at most one defective CD player.
What is the numerical value of the sample proportion p^ ? The P-value is the probability of what event?
For its validity, all hypothesis testing depends heavily on the assumption that the sample that is used was drawn using probability sampling techniques.
Tavern has budget of $2,000 for beer for Super Bowl Sunday. Betty desires to find out number of gallons of each brand of beer to order so as to maximize profit. Create a linear programming model for this problem.
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