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The following data resulted from a taste test of two different chocolate bars. The first number is a rating of the taste, which could range from 0 to 5, with a 5 indicating the person liked the taste. The second number indicates whether a "secret ingredient" was present. If the ingredient was present a code of "1" was used, and a "0" otherwise. At the .05 significance level, does this data show a difference in the taste ratings?
Rating With/(W/O) Rating With/(W/O)............................................3 1 1 1
1 1 4 0
0 0 4 0
2 1 2 1
3 1 3 0
Create a research question for which the appropriate test of the statistical hypothesis would require the use of a z-score.
Should you use a two tailed test versus the one tailed test? If the hypothesis is non-directional and you predict a difference between the means but do not specify which mean will be higher a two tailed test should be used.
Explain the effect outliers can have on the analysis of the center of this data set. Based on the box-plot and histogram you created for problem 1, do there appear to be any outliers?
The correlation between IQ and the verbal SAT score among the seniors at GWB High School is .90; it is significant. The mean IQ is 100 with a standard deviation of 10.
A human society claims that less than 31% of U.S. households own a dog. In a random sample of 392 U.S. households, 155 say they own a dog. At a=0.03, is there enough evidence to support the society's claim?
If the data were collected for a sample of 50 households rather than 100, develop an 85% confidence interval estimate of the population mean annual amount spent, assuming the population has a normal probability distribution.
A random group of apartments was selected from a city to analize the number of bedrooms they have. Is there evidence to reject the hypothesis that the apartments are equally distributed between 1 bedroom, 2 bedroom, and 3 bedroom apartments, at al..
Why is cohort studies more expensive than case-control studies? I know one problem is cohort studies often must be followed up for a long period to determine whether the outcome of interest has developed and they are more expense than case-control..
What then is the probability that a shaft will be acceptable? Suppose that the diameter of the shaft is a random variable that is Normally distributed.
The following table gives the median incomes of families by level of income and geographical region.
A lumber company has claimed that the standard deviation for the lengths of their 6 foot boards is 0.5 inches or less. To test their claim , a random sample of 17 six-foot boards is selected
Using the .05 significance level, can we conclude that there is a positive association between the two variables?
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