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1. In a hypothesis test, one establishes the hypothesis that one hopes to be proved. The hypothesis is proved if the null hypothesis is disproved. To disprove the null hypothesis, one must show, with a degree of confidence, that the chance for the alpha error is less than ά, in which the confidence level is 1 - (the alpha percentage). What is the alpha error in a hypothesis test? What is the Beta error in the hypothesis test?
2. In inferential statistics, it is important, if it is unknown whether the probability distribution of the universe is a normal distribution, to use a sample size that allows the use of the central limit therom. In analysis, the assumption of a normal distribution lets one use the mean of the sample distribution to determine what about the probability distribution of the universe?
3. What are the assumptions necessary to use the z-series test? What are the assumptions necessary of use the t-series test?
Define the terms parameter and statistic. Be sure that the concepts of population and sample are included in your definitions.
Compare the two sets and describe what you discover. The following data sets shows the ages of the first seven presidents (President Washington through President Jackson) and the seven most recent presidents including President Obama. Age is given..
If the sample size (n) is large, and the sample is a random sample, then the distribution of the sample mean x-bar is approximately a:
Researchers at the Cornell University Food and Brand Lab conducted an experiment at a fitness camp for adolescents (Wansink & van Ittersum, 2003).
Each day the major stock markets have a group of leading gainers in price (stocks that go up the most). On one day the standard deviation in the percent change for a sample of 10 NASDAQ leading gainers was 15.8.
In an experiment on a new drug to determine the most effective dosage and method of administration, subjects were randomly assigned to either 5, 10, 15, or 20 mg of the active drug.
Calculate the 95% confident interval to estimate the percentage of Millennial who believe that their generation has a distinctive identity as compared with the other generations
In a sample of 88 children selected randomly from one town, it is found that 8 of them suffer from asthma. Find the P value for a test of the claim that the proportion of all children in the town who suffer from asthma is equal to 11%.
What IQ score should one have in order to be eligible for Mensa?
For the preceding problem you should find that there are significant differences among the three treatments. One reason for the significance is that the sample variances are small.
Using variables below, (1) mention all research questions that would be replied with a Two Way ANOVA test, (2) make null hypotheses for these questions.
To conclude the effect of a new fertilizer on productivity of tomato plants one group of plants is treated with the new fertilizer as a second group is grown without such treatment. The number of ripe tomatoes produced by each group is counted.
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