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Suppose a botanist grows many individually potted eggplants, all treated identically and arranged in groups of four pots on the greenhouse bench. After 30 days of growth, she measures the total leaf area Y of each plant. Assume that the population distribution of Y s approx. normal with mean=800cm^2 and SD=90cm^2.
a) What percentage of the plants in the population will have leaf area between 750cm^2 and 850cm^2?
b) Suppose each group of four plants can be regarded as a random sample from the population. What percentage of the groups will have a group mean leaf area between 750cm^2 and 850cm^2?
Assume that the number of left-handers is a binomial random variable. (Refer to the formula for mean and standard deviation for binomial prob. Distribution)
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What is the population mean? What is the best estimate of that value?
Concept of statistical signi cance
Assume that the master budget for Cannondale shows total variable expenses of $10,000. The budget was based on production of 5,000 units. Cannondale sells all units it produces.
At a 0.05 level of significance, does this data show that 2 year college students and private unversity students work an equivalent amount of time?
Find a 95% confidence interval for the mean µ of the population from which the men were selected.
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Findout the margin of error for this survey if we want a 99 percent confidence in our estimate of the percent of adults over 50 who take vitamin supplements.
Find the probability that a randomly selected teacher earns and what sample size is necessary to double the standard error of the mean and what sample size is needed to cut the standard error of the mean in half?
where the deviations εi are assumed to be independent and Normally distributed with mean 0 and standard deviation σ. This model was fit to the data using the method of least squares. The following results were obtained from statistical software.
Fit a linear regression model for bp against sodium. Do you think this is a model with a good fit? Why?
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