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MAS291 - Lý Ánh Dương

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Past experience has indicated that the breaking

strength of yarn used in manufacturing drapery material is normally distributed and that

σ = 2 psi. A random sample of

nine

specimens

is tested, and the

average breaking strength is found

to be 98 psi

.

Find a 95% two-sided confidence interval

on the

true mean breaking strength.

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Suppose that the log-ons to a computer network

follow a Poisson process with an average of three counts per

minute.

Determine x such that the probability that at least one count

occurs before time x minutes is 0.95.

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If we know that the length of time it takes a college student to find a parking spot in the library parking lot follows a normal distribution with a mean of 3.5 minutes and a standard deviation of 1 minute, find the probability that a randomly selected college student will find a parking spot in the library parking lot in less than 3 minutes. Let P(Z < -0.62) = 0.2674; P(Z < -0.5) = 0.3085; P(Z < -0.37) = 0.3551; P(Z< -0.87) = 0.1915.
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We have created a 95% confidence interval for µ with the result (10, 15). What decision will we make if we test H0: µ =16 versus H1: µ ≠ 16 at α = 0.05?
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Which of the following diagrams is a stem-and-leaf diagram of this sample?

94, 90, 92, 91, 91, 86, 89, 91, 91, 90, 90, 93, 87, 90, 91, 92, 89

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The amount of time that a customer spends waiting

at an airport check-in counter is a random variable with mean

8.2 minutes and standard deviation 1.5 minutes.

Suppose that a

random sample of n = 49 customers is observed. Find the probability that the average time waiting in line for these customers is less than 8 minutes.

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Given the cumulative distribution

function

Find .

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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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