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Confidence Intervals: Exercises and Examples, Quizzes of Mathematics

A series of exercises and examples related to confidence intervals in statistics. It covers various scenarios, including estimating population means and proportions, and determining sample sizes. Useful for students learning about confidence intervals and their applications in data analysis.

Typology: Quizzes

2023/2024

Available from 12/18/2024

Milestonee
Milestonee 🇺🇸

4.4

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3.5K documents

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1 Suppose a random sample of 400 is selected from a
Confidence Interval for µ
Confidence Level
n Mean StDev
Use t or z?
SE
t-value Margin of
Error Lower Limit Upper
Limit
2 The point estimate of the population mean is
3 Suppose a random sample of 50 is drawn from a po
Confidence Interval for µ
Confidence Level
n Mean StDev
Use t or z?
SE
0.71
98%
400
25.00
5.00
t
0.25
2.34
0.58
24.42
25.58
92%
50
70.00
5.00
t
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1 Suppose a random sample of 400 is selected from a

Confidence Interval for μ

Confidence Level

n Mean StDev

Use t or z?

SE

t-value Margin of

Error Lower Limit Upper

Limit

2 The point estimate of the population mean is

3 Suppose a random sample of 50 is drawn from a po

Confidence Interval for μ

Confidence Level

n Mean StDev

Use t or z?

SE 0.

t

t

t-value

Margin of Error

Lower Limit

Upper Limit

4 Suppose a researcher is

interested in understanding

Confidence Interval for μ

Confidence Level

n Mean StDev

Use t or z?

SE

t-value Margin of

Error Lower Limit Upper

Limit

5 Brian Vanecek, VP of Operations at Portland Trust B

Confidence Interval for μ

Confidence Level

n Mean StDev

Use t or z?

t

t

OR

Sample Proportion

Sample Proportion

SE

z

Margin of Error

Lower Limit

Upper Limit

8 A researcher is interested in estimating the mean w

Confidence Interval for μ

Confidence Level

n

Mean

StDev

Use t or z?

SE

t-value

Margin of Error

Lower Limit

Upper Limit

9 Life tests performed on a sample of 13 batteries of a

Confidence Interval for μ

t

Confidence Level

n

Mean

StDev

Use t or z?

SE

t-value

Margin of Error

Lower Limit

Upper Limit

10 Suppose you want to estimate a population

Minimum Sample Size p

Confidence Level

Proportion

Error

z-Value

Minimum Sample Size

mean c

3.84 x 0.

11 Construct 90%, 95%, and 99% confidence intervals t

t

Upper Limit

13 A large trucking company wants to estimate the pro

Confidence Interval for p

Confidence Level

n

Number of Successes

OR

Sample Proportion

Sample Proportion

SE

z

Margin of Error

Lower Limit

Upper Limit

0.25 to

14 Is the environment a major issue with Americans? T

Confidence Interval for p

The poi

Confidence Level

n

Number of

Successes

OR

Sample Proportion

Sample Proportion (^) 0.

population with a standard deviation of 5. If the sample m

24.42 and 25.

the sample mean

pulation whose standard deviation is unknown. If the samp

68.76 and 71.

the variation in the price of store brand milk. A random sa

$3.06 to $3.

ank, is evaluating the service level provided to walk-in custo

14.18 to 15.

eight of a semi tracker truck to determine the potential loa

19,365 to 20,

new model indicated: (1) an average life of 75 months, an

71.28 to 78.

orrect to within 0.25 with probability equal to 0.95. You do

estimate μ from the following data. State the point estim

portion of its trailer truck population with refrigerated carr

  • o answer that question, a researcher conducts a survey of - 0.54 0.
    • nt estimate is 0.

ion mean will be estimated using a 92% confidence interval

a lifetime of batteries produced by a certain method will b

Size μ

mple of 36 grocery stores selected from a population a

mers. Accordingly, his staff recorded the waiting times

rograms of AFB banks. His staff randomly selected per

ed its website prior to visiting the store. Based on this