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Q1) As part of contract negotiations, management claims that mean annual salary for clerical workers is $30,000. Union would like to illustrate the mean is lower. Random sample of 17 annual clerical salaries is collected and results sample mean of $28,157 and standard deviation of $3500. Is this enough evidence to support Union's position? Use significance level of a = 0.05. You may suppose the mean annual salaries are normally distributed.
Q2) It is usually accepted that convicted burglars spend average of 18.7 months in jail. To check this claim researcher takes random sample of 50 such cases from court files and determines that x-bar = 20.5 months. Supposing σ is known to be 7.9 months; does sample evidence support belief that average stay is 18.7 months at the 0.025 level of significance?
Test whether the music reduces studying capacity at a .05 level of significance.
Assume Nick doesn't know how his received he suppose that all three states of nature are equally likely to occur. If Nick uses the equally likely criterion illustrate what decision would he make.
While purchasing a home, location is everything. As a buyer, one should be aware of the cost of living in the area of choice, as well as expect a higher cost the closer to the center of town you get.
Calculate the value of chi-square. What is your decision regarding H 0 ?
Write down the advantages and disadvantages of using computer software for decision making.
Using the confidence interval when conducting a two-tail test for the population mean we do not reject the null hypothesis if the hypothesized value for:
The random variable x is known to be uniformly distributed between 1.0 and 1.5.
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.
If you have a statistical package that computes binomial probabilities, find the probability that at least five funds outperform the market in all 10 years.
MATH1550H: Assignment:Questions: (Genetics) What is the probability that at most two of the offspring are aa?
We are interested in testing to find out whether the variance of the population is vitally more than 0.003
Decide if the events A and B are mutually exclusive or not mutually exclusive. A card is drawn from standard deck of 52 playing cards.
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