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Solved Examples
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BBB A random sample of the number of students accessing the internet during the working hours of three different schools is given. At α = 0.05, find the F test value and is there evidence to conclude a difference in means? BBB View Solution
BBB The table gives the random sample of temperatures at three different places during a month. At α = 0.05, find the F test value and can it be concluded that the mean temperatures differ significantly across places? BBB View Solution
BBB A random sample of books being sold in 3 different stores is shown. At α = 0.05, find the F test value and test the claim that the average number of books sold is the same. BBB View Solution
BBB A random sample of the number of beds in hospitals of three different states is given. At α = 0.05, find the F test value and test the claim that the average number of beds are the same.
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BBB Which of the following is/are true regarding the null hypothesis of comparing several means using One-Way ANOVA?
I. All the means are equal.
II. All the means are unequal.
III. All the means are variable.
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BBB Which of the following is true regarding F test to compare means?
I. The test is a right-tailed test.
II. The test is a left-tailed test.
III. The test is a two-tailed test. BBB
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BBB In the F test to compare means if the number of groups is k and the sum of sample sizes of the group is N, then what is the degrees of freedom? BBB View Solution
BBB Find the critical value of the F test when k = 3, N = 15 and level of significance α = 0.05. BBB View Solution
BBB Find the degrees of freedom for the F test when k = 3 and N = 15. BBB View Solution
BBB Random samples of three different kinds of books - fiction, nonfiction, and biography - were selected and the number of pages noted. The results are as follows.
FictionNonfictionBiography
46592440
304420160
480440238
384270444
240184328
328140190
294150112
140480459
At the 0.05 level of significance, find the F test value and test the claim that the mean number of pages are equal.
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BBB A certain strain of wheat is grown at 5 different locations. Three different fertilizers are used. The yield of wheat per acre is as shown. At α = 0.05, find the F test value and test the claim that the there is no difference in the mean yield of wheat.
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BBB Three different companies produce a particular type of electronic component. Random samples of components are selected from each company. Components are put into actual use until they fail and the life time of the components noted are as shown. At α = 0.10, find the F test value. Is there a significant difference in the mean lifetime of the components of the different companies?
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BBB In an experiment, three drugs were tested to see how much pain relief each provides. Pain relief was rated on a ten-point scale. Five subjects were tested in each group and their data are as shown in the table. At α = 0.05, find the F test value. Can it be concluded that the mean score differs significantly across pain relievers?
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BBB Time taken for demonstrating an experiment in the lab for the groups of different number of students is shown. At α = 0.10, find the F test value and test the claim that there is a significant difference in the mean time taken. BBB View Solution
BBB Group of 10 maple trees are selected from three types of maple trees. The heights of these trees are measured and tabulated as shown. At α = 0.05, find the F test value and test whether the claim that there is significant difference in the mean height is true or not.
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BBB A random sample of Sitka Spruce trees is selected from 3 different locations - Vancouver Island, California and Alaska. The heights of these trees are tabulated as shown. At α = 0.10, find the F test value and test the claim that the mean height of the trees are the same.
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BBB A researcher thinks that music affects concentration. He randomly places 18 college students into three groups. All groups are given a reading comprehension task. Favourite music is played to each group in a different mode, soft, moderate and loud. The reading comprehension scores are tabulated as shown. At α = 0.05, find the F test value and test the claim that music affects concentration.
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BBB A random sample of the number of schools in various regions is shown. At α = 0.10, find the F test value and test the claim that the mean number of schools are the same. BBB View Solution
BBB The sample consists of pulse rate measurements of 30 workers placed at random into 3 different groups, which performed different work tasks. At α = 0.01, find the F test value and is there a significant difference in the mean pulse rate among the groups? BBB View Solution
BBB An experimenter decided to give three different levels of antibiotic to rats to see if any particular dosage is more effective. Group 1 has low-level antibiotic; Group 2 has medium-level antibiotic; and Group 3 has high-level antibiotic. The life span of rats is as shown. At α = 0.05, find the F test value. Is there a significant difference in the mean life span of rat?
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BBB The table gives the mileage for similar kinds of automobiles using three different brands of gasoline. At α = 0.01, find the F test value and determine whether there is a difference between the brands or not?
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BBB A random sample of the number of students graduating from public institutions of higher learning is shown. At α = 0.05, find the F test value and test the claim that the mean number of students graduating are the same in all parts of the country. BBB View Solution
BBB A random sample of the number of patients treated each day from hospitals in a state is shown. At α = 0.05, find the F test value and test the claim that the mean number of patients treated each day are the same in all parts of a state.
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BBB The number of people attending a movie in three different theaters during the last one week is tabulated as shown. At α = 0.01, find the F test value and test the claim that the mean number of people attending the movie in each of the theaters are the same.
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BBB A random sample of the ages of employees working in the various departments of an organization is shown. At α = 0.05, find the F test value. Is there a significant difference in the mean age of an employee?
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