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Give an example of a polynomial with degree 3 such that when factored, it contains the two factors (x+5) and (2x-1), i.e., the polynomial looks like (x+5)(2x-1)(?). How many such polynomials you think there are? What if I add the constraint that the value of this polynomial is zero when the variable x is equal to 1, how many such polynomials can you find?
construct a 95% confidence interval for the weekly average expenditure on fast food for adults 24 years of age and under. Assume fast food weekly expenditures are normally distributed.
A special test is given to people complaining of sever headaches. if someone has a brain tumor, the test is positive with a probability of .8 (80%).
Consider an acceptance-sampling scheme in which factory takes delivery of a batch of components if random sample of 400 components contains fewer than M defectives.
If the probability that it will rain tomorrow is 0.33, then what is the probability that it will not rain tomorrow?
Marks on statistics midterm test are normally distributed with mean of 78 and a standard deviation of 6. Determine the probability that class of 50 has average midterm mark that is less than 75?
Calculate the population mean margin of error for a 90% confidence interval when sigma is 4 and sample size is 36. Standard IQ test has mean of 98 and standard deviation of 16.
Identify a research issue, opportunity, or problem that uses data that has absolute zero measurements. Some examples include a team member's stock portfolios performance
Use RNG in Excel to generate n = 5 observations from the Normal distribution N(20, 5). Test H0: μ = 20 versus H0: μ ≠ 20 at the α = 0.05 level of significance. Repeat this process 100 times and then count the number of times that you reject H0.
Suppose we want to conduct a poll to estimate the proportion of voters who approve of the current mayor, and we plan to use a 95% confidence interval for our estimate.
What is the 95 percent interval for the population mean?
Machine X test unit cost $3000 with beta=3 and theta=500, Machine Y test unit cost $2000 with beta=3 and theta=400. If the machines oil fixtures has life of 20 hrs, which machine goes to market first?
The level of significance is quantitatively defined as ? and the statistical power of a test is quantitatively defined as 1-?
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