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A manufacturer knows that their items have a normally distributed length, with a mean of 10.3 inches, and standard deviation of 0.7 inches. If 21 items is chosen at random, what is the probability that their mean length is less than 10.5 inches.
An anatomy teacher hypothesizes that the final grades in her class are distributed as 10% A's, 23% B's, 45% C's, 14% D's, and 8% F's. At the end of the semester, she has the following grades.
A gardner plants 12 flowers. It is perdicted that on an average, 15% of the flowers planted will die during the first winter. Using the information above, please answer the following questions:
Suggest one psychological research question that could be answered by each of the following types of statistical tests:
A discrete random variable Y takes the value -1, 0 and 1 with probabilities 1/2θ, 1- θ and 1/2θ respectively. Let Y1 and Y2 be two independent random variables, each with the same distribution as Y.
A researcher wanted to invetigate whether there is a significant difference in the average age of instructors, assistant professors, assocated professors and full professors at a university. The faculty was selected at random and their ages were r..
Calculate the sample mean and sample standard deviation.
Discuss the properties of a normal distribution. Why are there infinite possible normal distributions? Why should one assume that sample data represents a population distribution?
Two sample z-test for the difference between two population proportions
If sensitivity and specificity remain constant, determine the relationship of prevalence to predictive value positive and predictive value negative?
What is the probability that the majority of the selected parents put their children who are under the age of 6 in car seats?
The population standard deviation for both groups is 6. At α = 0.01, is there a difference in the cholesterol levels between the two groups? Find the 99% confidence interval for the difference of the two means.
If a remote's maximum range is 10 feet, what percentage of the time will users attempts to operate the remote outside of its operating limit?
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