Each of the digits in a raffle is thought to have the same chance of occurrence. The table shows the frequency of each digit for consecutive drawings in a California lottery. Perform the chi-square test to see if you reject the hypothesis at the 0.05 significance level that the digits are from a uniform population. Digit Frequency Digit Frequency 24 44 1 32 6 31 23 7 27 3 27 8. 28 4. 23 21 picture Click here for the Excel Data File a. State the decision rule. Use 0.05 significance level. (Round your answer to 3 decimal places.) Ho: The digits are uniformly distributed. H: The digits are not uniformly distributed.

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A:

Q: Find the first quartile for the scores on the Mathematics portion of the SAT.

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Q: A sample has SS= 20 and s? = 4. How many scores are in the sample?

A: Six scores are in the sample.

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A:

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Q: If I have a sample of people’s ages, and the IQR is 20, what does this mean?

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A:

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Q: What constitutes each pair in a paired sample?

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Q: For a sample of n=16 scores, how many scores are used to calculate the sample variance?

A:

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Q: For a sample of n=15 scores, how many scores are used to calculate the sample variance ?

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A: Given data, n=500 p=61% =0.61 Construct a 95% confidence interval?

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A: Given,Proportion, Standard error, SE = 0.0458

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Permutations and Combinations

If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.

Counting Theory

The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.