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To perform two sample hypothesis testing using normal distribution.
A study was conducted on the annual incomes of corporate trainers in the state of New York in metropolitan areas having a population less than 100,000 and in metropolitan areas having a population over 500,000. Some sample statistics are:
Sample Statistic
Population less than 100K
Population more than 500K
Sample Size
45
60
Sample Mean
$31,290
$31,330
Sample SD
$1,060
$1,900
Test the hypothesis that the annual incomes of corporate trainers in areas of more than 500,000 are significantly more than those in areas of less than 100,000. Use the 5% level of risk.
An independent financial advisor claims an average rate of return, μ, on a particular investment is at least 7%. In testing her claim, the correct pair of hypotheses is:
Test hypothesis that mean weight of 2 sheets are equal against alternative that they are not(suppose equal variances). Use α=0.05 and suppose equal variances. Determine the P value.
Suppose we drew a histogram of these 18 death rates using class intervals 1 — 1.9, 2 — 2.9, 3 — 3.9, 4 — 4.9 and 5 — 5.9. Using the histogram, we would
Are number of toilet breaks and amount of beverage consumed related? Describe how? Provide the value of statistic and probability value.
At least half the patients are under 15 years old? First, describe how this can be modelled as a binomial distribution with 8 trials, where success is visitor age is under 15 years old and the probability of success is 20 percent.
If standard deviation is 50 hours and α is equal to 0.01, what values for mean x will result in rejection of null hypothesis.
The price of XYZ Corporation stock is normally distributed all through the year with mean of $42.00 per share and a standard deviation of $2.25 per share. Suppose that the stock is traded 240 days out of the year.
Setermine the probability that a specific driver had exactly two violations?
Now make a scatter plot of data from 1982 to 1998 (again, use years since 1800). Determine a linear, power, or exponential model that explains the crude oil production during this time period.
A study of cardiovascular risk factors compared heavy smokers, light smokers, and nonsmokers. Both men and women were included in the study and gender differences were also to be investigated. One of the variables measured was the heart rate after..
State the correct decision and give justification for your decision.
A year ago, Air Force implemented new test for finding which candidates are most probable to become successful pilots. Now they wish to see if implementing pilot predictor test was a good idea. Scores have been standardized to facilitate comparis..
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