Free Printable Q2-Summative Test 2.1-Confidence Intervals

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Q2-Summative Test 2.1-Confidence Intervals

Total questions: 35

Worksheet time: 55mins

Name

Class

Date

Which of these values is a parameter?

$\overline{X}$

$\mu$

What do you call processes involved in making conclusions about population values?

Estimating parameters

Hypothesis Testing

Inferential Statistics

Descriptive Statistics

Subsets of populations are called:

samples

elements

estimates

averages

Which of the following best represents the central value of a set of data?

Variance

Average

Proportion

Standard Deviation

What do you call a single value that may refer to a parameter value?

Z satistic

T statistic

Point Estimate

Interval Estimate

The ____________ is a range of values that contains the parameter value.

Confidence limits

Confidence Intervals

Confidence coefficient

Confidence level

What do we call the probability that a parameter is contained in a range of values?

Confidence level

Confidence limit

Confidence coefficient

Confidence interval

Which of the following shows graphical results in making inferences about population values?

Pie graph

Bar graph

Trend line

Normal curve

Which of the following are the 95% confidence coefficients?

$\pm1.645$

$\pm1.96$

$\pm2.33$

$\pm2.58$

10.

When

\alpha

=0.01, the critical values are:

$\pm1.645$

$\pm1.96$

$\pm2.33$

$\pm2.58$

11.

The maximum error of the estimate is found by:

adding $\ z_{\frac{\alpha}{2}}\$ by standard deviation of the sample means

subtracting $\ z_{\frac{\alpha}{2}}\$ by standard deviation of the sample means

multiplying $\ z_{\frac{\alpha}{2}}\$ by standard deviation of the sample means

dividing $\ z_{\frac{\alpha}{2}}\$ by standard deviation of the sample means

12.

When n < 30 and the population standard deviation is not known, what is the appropriate distribution?

13.

When n $\ge$ 30 and the population standard deviation is known, what is the appropriate distribution?

14.

In a t distribution, the critical values are based on:

15.

When x=50 and n=215, what is the value of p̂?

0.23

4.3

215

16.

Given: n = 50, $\sigma$ =1.2, and $\alpha$ =0.1. The maximum error E is approximately:

0.330

0.39

0.44

none of these

17.

What is the value resulting from subtracting the maximum error from the sample mean?

Point estimate

Interval estimate

Lower limit of the interval estimate

Upper limit of the interval estimate

18.

Which of the following illustrates confidence level?

32.8

30-39

90%

90%-94%

19.

Given: n=80%, $\overline{X}$ =76.5, s=3.1. Which of these is the point estimate of the population mean?

76.5

8.9

3.1

20.

The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence level.

What is $\alpha$ ?

95%

1.6

0.05

21.

The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence level.

What is the point estimate of $\mu$ ?

95%

$\sqrt{10}$

1.6

22.

The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence level.

What is the appropriate distribution?

23.

The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence level.

What are the confidence coefficients?

$\pm1.96$

$\pm2.26$

$\pm2.33$

$\pm2.58$

24.

The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence level.

The lower limit is approximately:

26.85

26.81

26.68

25.

The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence level.

The upper limit is:

29.15

29.19

29.32

26.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

What is $\alpha$ ?

95%

0.01

0.05

0.10

27.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

What are the confidence coefficients?

$\pm1.96$

$\pm2.26$

$\pm2.33$

$\pm2.58$

28.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

What is X?

1200

586

0.49

none of these

29.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

What are 'p hat' and 'q hat'?

0.49 and 0.49

0.49 and 0.51

0.51 and 0.49

0.51 and 0.51

30.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

The standard deviation of the sampling distribution of 'p hat' is:

0.2499

0.0002

0.014

0.05

31.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

The error E is approximately:

0.05

0.03

0.01

32.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

The lower and the upper limit are:

0.44 and 0.54

0.45 and 0.53

0.46 and 0.52

0.45 and 0.50

33.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

The true population proportion falls between:

44% and 54%

45% and 53%

46% and 52%

48% and 50%

34.

In a learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said Yes. Find a 95% confidence interval for the population proportion p.

Write your interpretation and implication from the estimation results you got.

4 lines

35.

The mean gasoline consumption of 10 cars is 28 liters with a standard deviation of 1.6 liters. Find the point and the interval estimates using 95% confidence level.

Write your interpretation and implication of the study.

4 lines

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Q2-Summative Test 2.1-Confidence Intervals

Total questions: 35

Worksheet time: 55mins

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