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N (x . -x ..) -x ..) Z The F-test statistic, f0, applies when we have independent samples each from k Normal populations, N(i, ), note same variance is assumed. Where did the F-statistics came from? Z Let"s look at this example comparing groups. How do we obtain intuitive evidence against H0? Far separated sample means + differences of sample means are large compared to their internal (within) variability! Which of the following examples indicate group diff"s are "large"?
At.05 level of significance, is there evidence to propose that mean life length of the batteries manufactured by this manufacturer is more than 400 hours?
The proportion who died from coronary heart disease was .00669 for smokers and .00413 for nonsmokers. Describe the association of smoking each alung cancer.
Finding the probability that a randomly selected cat will cost more than a randomly selected dog in terms of their annual medical costs.
If 25 quarters are randomly selected calculate an interval that will include 95% of all the mean weights of randomly selected samples of quarters of size 25.
Identify the null hypothesis, alternative hypothesis, test statistic, p-value or critical value(s), conclusion about the null hypothesis, and final conclusion that addresses the original claim.
As part of his review for a chemistry test, a student randomly selects (without replacement) 40 out of 102 elements listed on the standard tables, and tries to guess their atomic numbers.
Merta reports that 74% of its trains are on time. A check of 60 randomly selected trains shows that 38 of them arrived on time. Find the probability that among the 60 trains 38 or fewer arrive on time.
To determine whether the mean nicotine content of a brand of cigarettes is greater than the advertised value of 1.4 milligrams, a health advocacy group tests.
Suppose we want to test the hypothesis. State hypothesis Ho and the alternative hypothesis H1 that we would use for this test.
Assuming that a multiplicative model can be used to describe the sales data, generate a forecast for the total dollar sales the company can expect to receive in July of .
The port of Trop can service only 1 ship at a time. However, there is mooring space for 3 more ships. Trop is a favorite port of call, but, if no mooring space is available the ships have to go to the next port.
Determine the p-value; and at 93.7% confidence, test the above hypotheses.
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