Unit 3: Chapter 8.2 Means Flashcards

1
Q

The mean of a t distribution is

A

0

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2
Q

The median of a t distribution is

A

0

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3
Q

The standard deviation of a t distribution is

A

1>

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4
Q

The variance of a t distribution is

A

1>

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5
Q

The degrees of freedom in a t distribution is

A

n-1

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6
Q

A t distribution is a normal distribution

A

true

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7
Q

Another name for the standard normal distribution is the t distribution.

A

false

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8
Q

The t distribution has an infinite possible number of degrees of freedom, one for each possible sample size.

A

true

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9
Q

For a confidence level of 98% with a sample size of 21, find the critical t value.

A

2.528

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10
Q

A student was asked to find a 99% confidence interval for widget width using data from a random sample of size n = 19. Which of the following is a correct interpretation of the interval 12.7 < μ < 32.7?

A

With 99% confidence, the mean width of all widgets is between 12.7 and 32.7.

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11
Q

construct a 80 percent confidence interval with n=15, X bar=47, and s =15

A

critical t value= 1.345
df=14
E=5.209
(41.8, 52.2)

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12
Q

Beyond representative sampling, what assumptions are needed to satisfy the requirements of a one-sample means interval?

A

The sample size should be at least 30 or the population have a normal distribution

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