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choose independently two number B and C at random from the interval [-1,1] with uniform distribution, and consider the quadratic equation x^2+Bx+C=0
Find the probability that the rootsa)are both realb)are both positive
Briefly describe how the standard deviation influences the outcome of the hypothesis test. How does standard deviation influence measures of effect size?
A researcher wishes to construct a 95% confidence interval for a population mean. She selects a simple random sample of size n=20 from the population.
the sample mean was found to be 21.3 minutes, with a sample standard deviation of 5.5 minutes. Is there evidence to reject the claim at the alpha = 0.05 level?
Nationwide, GMAT scores in a particular year had an average of 528 with an SD of 112 and the scores roughly followed a normal curve. If a student scored 600 on the exam, approximately what percentage of test-takers scored below this student?
Records also point to that interviewing committee of bank officers approves 85% of individuals they interview. Determine probability that Ann's loan request is approved.
Find the standard deviation and variance from the (population) data below. Describe your results.
Complete the test at the 5% level of significance.
Show the graph of the probability density function for flight time.
The selection committee of the club is willing to use a 0.01 significance level. You are required to find out whether Amod's salary will be cut next year.
Calculate the probability that theta hat falls within 0.2 of the theta given the parameter'e true value is 3.0. Calculate the probability of the event asked in Part(a) assuming the sample size is 3 instead of 6.
A recent poll of 700 people who work indoors found that 278 smoke. If the researchers want to be 98% confident of their results to within 3.5 percentage points, how large a sample is necessary?
Assume the probability that a person has the desease is 0.03 for all people, independently of each other, and compute the expected number of tests necessary for each group.
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