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A gambler complained about the dice. They seemed to be loaded! The dice were taken off the table and tested one at a time. One die was rolled 300 times and the following frequencies were recorded.Outcome1 2 3 4 5 6 Observed frequency O614767344744Do these data indicate that the die is unbalanced? Use a 1% level of significance. Hint: If the die is balanced, all outcomes should have the same expected frequency.
(a) What is the level of significance?
State the null and alternate hypotheses.
H0: The distributions are different.
H1: The distributions are different. H0: The distributions are the same.
H1: The distributions are different. H0: The distributions are different.
H1: The distributions are the same. H0: The distributions are the same.
H1: The distributions are the same.
(b) Find the value of the chi-square statistic for the sample. (Round the expected frequencies to at least three decimal places. Round the test statistic to three decimal places.)
Which of the following are positive and which negative correlations? (a) The rise of lung cancer with the increase in smoking.
a. What is the probability that a randomly selected orange will contain between 4.5 and 5.2 ounces of juice?
Test the claim that the run time differs from 300 minutes. Use a 0.05 level of significance a) Set up test hypothesis
for a normal distribution with ? lt 98.6 given a sample of 25 values with a sample mean of 98.2 and a sample standard
In this problem, you are to consider the design of low pass filters using the Pade and Prony methods.
(a) Calculate the three-period moving average trend of pelagic fish caught off the west coast. (b) Plot the actual catches of pelagic fish and the moving average trend on the same graph. Comment on the pattern of pelagic fish catches over the past..
Find a 95% confidence interval for the true proportion of all medical students who plan to work in a rural community.
Carry out a two-sample t test. State hypotheses and give the two sample means, the t statistic and its P-value, and your conclusion.
Given the crash information, what is the shortest time to complete the project, and how much extra will it cost to finish in the shortest possible time?
A study of cardiovascular risk factors compared heavy smokers, light smokers, and nonsmokers. Both men and women were included in the study and gender differences were also to be investigated. One of the variables measured was the heart rate after..
(b) How often does each integer between 1 and 12 appear in the sequence generated in part (a)? (c) Without performing additional calculations, indicate how x13, x14, . . . will compare with x1, x2, . . . .
Give the null and alternative hypotheses for testing whether the average level this year is less than 15 ppm.- Describe a Type I error for this test.
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