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1. A biologist has found the average weight of 12 randomly selected mud turtles to be 8.7 lb with standard deviation 3.6 lb. Find a 90% confidence interval for the population mean weight of all such turtles.
2. How tall are college hockey players? The average height has been 68.3 inches. A random sample of 14 hockey players gave a mean height of 69.1 inches. We may assume that x has a normal distribution with σ = 0.9 inch. Does this indicate that the population mean height is different from 68.3 inches? Use 5% level of significance.
a) State the null and the alternate hypothesis.
b) Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
c) Compute the z or t value of the sample test statistic.
d) Find the P value or an interval containing the P value for the sample test statistic.
e) Based on your answers to a through d, decide whether or not to reject the null hypothesis at the given significance level. Explain your conclusion in the context of the problem.
Based on the equation of the least-squares line, we use software to predict the average number of home runs hit per game per team for the year 2001. We obtain the following.
If the voice identifications were made by random guess, find the probability that all 9 victims would select the same person?
Utilizing the .05 level, do the results support the psychologists' theory. A psychologist theorized where people can hear better when they have just eaten a large meal.
Determine whether the method of delivering teaching influences adherence with antiretroviral therapy.
What is the likelihood the sample mean is greater than $22.50 but less than $25.00?
The paired data below consist of the test scores of 6 randomly selected students and the number of hours they studied for the test.
Does this sample indicate a smaller average? Use α = 0.05 and assume a normally distributed population.
Either summarize your design or give an appropriate layout with table.
Below are one hundred pseudorandom numbers from a uniform pdf. Set up and test the appropriate goodness-of-fit hypothesis. Let α = 0.05.
Verify that this is valid density function. Find out probability that weight is smaller than 24 ounces.
With this information, by constructing a 2 by 2 table, compute the predicative value positive and predictive value negative of the ELA in hypothetical population of 1000000 blood donors.
Suppose you had flipped a fair coin 19 times and "tails" had come up each time. The probability of now tossing a "head" on the 20th flip would then be:
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