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Stat and probab

Total questions: 50

Worksheet time: 39mins

Name
Class
Date
1.

It is a measure of position that divides the data into four equal parts.

a)

Mean

b)

Median

c)

Quartile

d)

Decile

2.

It measures the number of individual samples measured or observations used in a survey or experiment

a)

Population

b)

Sample size

c)

Standard deviation

d)

Variance

3.

What process is involved in making conclusions about population values?

a)

Inferential statistics

b)

Hypothesis testing

c)

Descriptive statistics

d)

estimating parameters

4.

What do you call a number that describes the characteristics of a population?

a)

Decimal

b)

Sample Statistics

c)

Parameter

d)

Interval

5.

Which of the following statement is a characteristics of the t distribution?

a)

It is a continuous distribution.

b)

It has a mean of 0

c)

It is symmetrical

d)

All of the above

6.

Which of the following illustrates confidence level?

a)

5.0

b)

99%

c)

90-95

d)

.05

7.

We wish to develop a confidence interval for the population mean. The population follows the normal distribution, the standard deviation of the population is 3, and we have a sample of 100 observations. What is the appropriate value of" z", if we use 90% confidence level?

a)

z= 1.64

b)

z=1.96

c)

t=1.833

d)

t=2.262

8.

Which of the following refers to the fraction of sample possessing a certain trait?

a)

population

b)

mean

c)

confidence interval

d)

proportion

9.

Which of these is a correct alternative hypothesis for two tailed test?

a)

Ho: μ = 9

b)

Ha: μ = 9

c)

Ho: μ ≠ 9

d)

Ha: μ ≠9

10.

1-β, is the probability of which kind of error?

a)

Type I

b)

Type II

c)

Type A

d)

Type B

11.

When n< 30 and the population standard devaition is known, what is the appropriate distribution?

a)

z

b)

p

c)

t

d)

r

12.

Under the normal distribution, what is the z- value that corresponds to an area of 0.4967

a)

z= ±2.72

b)

z= ±1.98

c)

z=±2.7

d)

z= ±.072

13.

Alpha α, is the probability of which kind of error?

a)

Type I

b)

Type II

c)

Type A

d)

Type B

14.

What is the value of α for the 95% confidence level?

a)

α = .05

b)

α= .10

c)

α= 0.01

d)

α= .025

15.

When x= 60 and n=125 what is the value of ?

a)

0.48

b)

0.84

c)

0.52

d)

2.08

16.

If p̂ = 0.23 what is q?

a)

0.32

b)

0.77

c)

0.87

d)

0.97

17.

The researcher wants to examine 12 respondents for their study. What is the degree of freedom?

a)

98%

b)

11

c)

12

d)

.012

18.

What is the margin of error E, if n= 120, σ= 3 and confidence level of 95%.

a)

0.52

b)

0.54

c)

0.56

d)

0.58

19.

Under the normal curve, when lines are drawn through these values, they separate the rejection region from the acceptance region.

a)

confidence coefficients

b)

computed statistics

c)

z-values

d)

t-values

20.

Which of the following represents the middle part under normal curve?

a)

Confidence level

b)

Confidence interval

c)

Acceptance region

d)

Rejection region

21.

The mean gasoline consumption of 10 cars is 28 liters with the standard deviation of 1.6 liters. Use the 95 % confidence level. What is the α ?

a)

95%

b)

28

c)

1.6

d)

0.05

22.

The mean gasoline consumption of 10 cars is 28 liters with the standard deviation of 1.6 liters. Use the 95 % confidence level. What is the point of estimate?

a)

95%

b)

28

c)

1.6

d)

.05

23.

The mean gasoline consumption of 10 cars is 28 liters with the standard deviation of 1.6 liters. Use the 95 % confidence level. What is the appropriate distribution?

a)

Z

b)

P

c)

T

d)

S

24.

The mean gasoline consumption of 10 cars is 28 liters with the standard deviation of 1.6 liters. Use the 95 % confidence level. What is the t value?

a)

± 1.96

b)

± 2.26

c)

± 2.33

d)

± 2.58

25.

The mean gasoline consumption of 10 cars is 28 liters with the standard deviation of 1.6 liters. Use the 95 % confidence level. What is the lower confidence interval?

a)

27

b)

26.85

c)

26.81

d)

26.68

26.

The mean gasoline consumption of 10 cars is 28 liters with the standard deviation of 1.6 liters. Use the 95 % confidence level. What is the upper confidence interval?

a)

29

b)

29.14

c)

29.19

d)

29.32

27.

Deo wants to replicate a study where the lowest observed value is 12.4 while the highest is 12.8. He wants to estimate the population mean within an error of its true value. Using 99% confidence level. What is zα∕² ?

a)

1.65

b)

2.96

c)

1.98

d)

2.58

28.

A businessman,believes that using a new marketing strategy will yield greater income in his company. The average income of his compnay from the past was P 3,500,000 per year. What is the null hypothesis in symbols?

a)

Ho : μ ≥ 3, 500,000

b)

Ho : μ ≠ 3, 500,000

c)

Ha : μ = 3, 500,000

d)

Ha : μ > 3,500,000

29.

A businessman,believes that using a new marketing strategy will yield greater income in his company. The average income of his company from the past was P 3,500,000 per year. What is the alternative hypothesis in symbols?

a)

Ho : μ = 3, 500,000

b)

Ho : μ ≠ 3, 500,000

c)

Ha : μ > 3,500,000

d)

Ha : μ < 3,500,000

30.

What is the two tailed of 90 % confidence level?

a)

1.28

b)

1.64

c)

1.96

d)

2.33

31.

if the sample size n id 23 what is the degree of freedom?

a)

21

b)

22

c)

23

d)

24

32.

What is the one tailed of 90% confidence level?

a)

1.28

b)

1.64

c)

1.96

d)

2.33

33.

What is the two tailed of alpha error .05?

a)

1.28

b)

1.64

c)

1.96

d)

2.33

34.

Given the alpha error of 1% what is the two tailed?

a)

1.28

b)

1.64

c)

1.96

d)

2.58

35.

It is called the subgroup of a target population.

a)

statistics

b)

t-test

c)

z-test

d)

sample

36.

It is a distribution of value less than 30.

a)

z distribution

b)

t distribution

c)

f distribution

d)

alpha error

37.

When α= 0.01 , the critical values is:

a)

1.64

b)

1.96

c)

2.33

d)

2.58

38.

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

a)

n

b)

z

c)

t

d)

df

39.

In learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said yes. Using the 95% confidence level what is the alpha error?

a)

95%

b)

0.01

c)

0.05

d)

0.10

40.

In learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said yes. Using the 95% confidence level what is the confidence coefficients?

a)

1.96

b)

2.26

c)

2.33

d)

2.58

41.

In learning style study, 1200 respondents were asked if they can assimilate concepts while watching television 586 said yes. Using the 95% confidence level what "X"?

a)

1200

b)

586

c)

0.49

d)

none of theses

42.

In learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said yes. Using the 95% confidence level what "n"?

a)

1200

b)

586

c)

0.49

d)

none of these

43.

In learning style study, 1200 respondents were asked if they can assimilate concepts while watching television. 586 said yes. Using the 95% confidence level what ""?

a)

1200

b)

586

c)

0.49

d)

none of these

44.

Which of the following gives the second step in hypothesis testing?

a)

Select appropriate test statistic

b)

State decision rule for rejecting or not rejecting the null hypothesis

c)

Describe the population parameter of interest

d)

Formulate the hypothesis; the null hypothesis and the alternative hypothesis

45.

Which of the following gives the first step in hypothesis testing?

a)

Select appropriate test statistic

b)

Describe the population parameter of interest

c)

State decision rule for rejecting or not rejecting the null hypothesis

d)

Formulate the hypothesis; the null hypothesis and the alternative hypothesis

46.

Supposed that z is the test statistic, what is the value of z if μ=94, σ=8, n=100, x̄= 97?

a)

3.57

b)

-3.57

c)

3.75

d)

-3.75

47.

Supposed that z is the test statistic, what is the value of z if μ=52, σ=7, n=120, x̄= 49.6?

a)

3.57

b)

3.75

c)

-3.57

d)

-3.75

48.

Supposed the z computed value is greater that the z critical , what decision should be take?

a)

reject the null hypothesis

b)

reject the alternative hypothesi

c)

do not reject null hypothesis

d)

none of these

49.

The t computed value is 2.48, and the confidence level is 90%, two tailed with a sample size of 13. What is the decision should be take?

a)

reject the null hypothesis

b)

do not reject null hypothesis

c)

reject the alternative hypothesis

d)

none of these

50.

Do you want to pass on my subject?

a)

yes

b)

no

c)

sort of

d)

maybe