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MAS291 - Lý Ánh Dương

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A random sample of size n1

= 16 is selected from

a normal population with a mean of 75 and a standard deviation of 8.

A second random sample of size n2

= 9 is taken from

another normal population with mean 70 and standard deviation 12. Let 

be the two sample means.

Find the probability that exceeds 4.

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Given the histogram of a sample data.

Which statement is true about this sample?

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How large must the sample be if you wish to be at least

95% confident that the error in estimating p is less than

0.03, regardless of the true value of p?

Let z0.025 = 1.96; z0.05 = 1.65.
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Given two box plots of two samples.

Which sample has an outlier?

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Suppose that f(x) = 0.125x for 0 < x < 4. Determine the mean and variance of X.

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A hypothesis will be used to test that a population mean equals 5 against the alternative that a population mean is less than 5 with known variance. What is the critical value for the test statistic t0 for the following significance level: α=0.05 and n=15.Let t0.05;14=1.761; t0.05;15=1.753
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A batch contains 52 bacteria cells. Assume that 13 of cells are not good. Five cells are selected at random, without replacement. What is the probability that all five cells of selected cells are not good?
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Which statement is true for the scores of 1, 2, 3, 4, 5, 5, 7, 8, 9, and 10?
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