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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.
Assume a business researcherwishes to test hypothesis that greater proportion of marketing managers keep track of such obligations.
A test on zoology is to be given next week. Suppose 75 percent of the students study for the test and 25 percent do not. If a student studies for the exam, the probability that he or she will pass is 0.90. If the student does not study, the pro..
At a = 0.05, can you reject claim that at least 52% of adults are more probable to purchase a product when there are free samples?
A sample of 50 male and 50 female infants were put on an experimental infant formula. After two weeks the parents of each infant were asked to fill out a questionnaire concerning infant satisfaction on the formula. One of the questions was "Did Ba..
An instructor claims the average time to take a statistics test is greater than 39 min. As, if a sample of 33 students took 43 min. is the instructor's claim true?
What is the probability that a cereal would both high calorie and high fiber? In other words, what is P (high calorie and high fiber)?
Which of these variables are discrete and which are continuous random variables?
An experiment was performed to investigate lifetime of a component exposed to high heat. Three different oven types were used at either 550°F or 600°F.
For a new HDTV the mean number of months until repairs are needed is 36.84 with a standard deviation of 3.34 months.
Which component of a time series is most likely to occur? Which component has a pattern that must be complete in a single year and repeat from year to year?
Identify the sampling distribution to be used: the standard normal distribution or the Student's t distribution. Find the critical value(s).
A statistics instructor wants to know which route will get her to school the fastest. Each day from October 2 to November 15, when she gets to the turn point she checks the odometer on her car
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