#### Question Details

Section-I

State whether the following statements are True or False. (15 marks, 1 Mark Each)

- - The amount of milk that a cow produces in a gallon an example of continuous data. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
- - Systematic Sampling is sampling in which data is obtained by selecting every kth object. Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â
- - Any characteristic of a population distribution may properly be referred to as a parameter
- Â - Populations are always infinite.Â Â
- - The population mean and the population median will not generally be equal to one another. Â Â
- - There are four quartiles that divided the data into four equal parts. Â Â Â
- - The probability of an impossible event is one.
- - If A and B are disjoint events, then in conditional probabilityÂ Â Â Â Â Â Â Â Â Â Â Â
- - Mean value over an infinite number of observations of the variables is the expected value of random variables.
- - Poisson distribution is a continuous probability distribution.
- - In the standard normal distribution the standard deviation is always exactly zero.
- - The distribution of sample will as the sample size increases, approach a normal distribution.Â Â
- - A point estimate is a single value or point used to approximate a population parameter.Â
- - A critical value is a Z-score separating unlikely value from those that are likely to occur.
- - As the sample size increases, the sampling error will increase as well.

__Section-II__

Â (Multiple Choice Questions) Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (15 marks, 1 Mark Each)

- Â The subject in which college students major.
- Ordinal
- Nominal
- Ratio
- Interval
- Which one of the following variables is not categorical?
- The choice on a test item: true or false.
- Â The gender of a person: male or female
- Â The age in years of a person.
- Â Â TheÂ maritalÂ statusÂ ofÂ aÂ person:Â single,Â married,Â divorced,Â other.
- A distribution of data that is the left half of its histogram is roughly a mirror image of its right half called:
- SkewedÂ Â Â Â Â Â Â Â Â Â
- SymmetricÂ Â Â Â Â
- both a and b
- None

- A sample value that lies very far away from the majority of the other sample values is
- The center.
- A distribution.
- An outlier.
- aÂ variance.
- Which of the following are examples of a variable?
- Gender of a high school graduate.
- Number of major credit cards a person has.
- Type of automobile transmission.
- AllÂ ofÂ theÂ above.
- Which of the following is not a measure of variability?
- Variance.
- Standard deviation.
- Mean.
- Median.
- Â An urn contains 6 blue or white balls, 4 of them are blue, what is theÂ Â Â probability of getting white ball?
- 0.7
- 1/3
- 3
- 1

What is the probability of rolling a die and getting either a 1 or a 6?

Â Â Â Â a. 1/3

Â Â Â Â b. 1/2

Â Â Â c. 6/21

Â Â Â d. 8/2

9. Which of the following is NOT a possible probability?

a. 25/100

b. -1.25

c. 1

Â Â Â Â Â Â Â Â Â d. 0

10. Which one of these variables is a continuous random variable?

Â The time it take a randomly selected student to complete an examÂ TheÂ number of tattoos a randomly selected person hasÂ The number of women taller than 68 inches in a random sample of 5Â Â Â Â women.Â TheÂ numberÂ ofÂ correctÂ guessesÂ anÂ aÂ multipleÂ choiceÂ test.SelectionÂ ofÂ favoriteÂ fruitsÂ andÂ responsesÂ ofÂ orange,Â grape,Â apple,Â kiwiÂ orÂ otherÂ manyÂ wereÂ recordedÂ are

Probability distributionBinomial distributionPoisson distributionÂ NoneIf theÂ z â€“ score of normal distribution is 2.5, the mean of the distribution is 45 and the standard deviation of normal distribution is 3 then the value of X for a normal distribution is:Â

97.5Â Â Â Â Â Â 47.5Â Â Â Â Â Â 52.567.5The grades on a math midterm are normally distributed with Î¼Â and

0.432.32âˆ’0.36â€“Â 0.43Express the confidence interval -0.001< p < 0.559 in the form .

0.279 - 0.28Â Â Â populationÂ population parameterÂ Â Â Â Â Â Â Â c.Â Â confidence coefficient

Â Â Â Â Â Â Â Â d.Â Â sample size

Part-II (Multiple Choice Questions)Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (15 marks, 1 Mark Each)

Q. | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 |

A. |

__Section â€“III__

__Answer the following Short Type Questions__Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â (12 marks, 2 Mark Each)

Â Â Â Â Â Â Â a) P(Z < 2.37)

Â Â Â Â Â Â Â b)Â P(Z > 1.82)

Â Â Â Â Â Â Â c)Â Â P(-1.18 < Z < 2.1)

Flipkart online company interested in knowing the percentage of adult who buy clothing on line. How many adult must be surveyed in order to be 95% confidence that the sample percentage is in error by no more than 3 percentage point and 66% of adult by clothing on line.ConstructÂ a grouped frequency table Â for the following set of time in second (Put them in 6 equal length classes). And also calculate relative frequency, relative cumulative frequency.83

31

40

88

89

80

62

35

60

75

30

30

85

85

72

35

50

42

83

75

63

85

46

60

30

65

79

59

30

70

K=

Minimum =

Maximum =

Range=Â Â Â ,Â Â Â Â Â Â Â Â Â Â Â Â Â Â Â Length of classes=

The marks of 5 students in a statistics test that had a maximum possible mark of 100 are given below:

72 76 73 76 78

Find the mean, mode, median, standard deviation and variance of this set of data values.

Consider the following distribution of gender and major of students in an introductory statistics class: Social Science | Science | Total | ||

Female | 20 | 10 | 30 | |

Male | 20 | 10 | 30 | |

Total | 40 | 20 | 60 |

a. Find the probability that a randomly selected student is from social science.

b. Find the probability that a randomly selected student is from social science major given that they are female.

c. Find the probability that a randomly selected student is a Male student.

DuringÂ theÂ summerÂ months,Â aÂ rentalÂ agencyÂ keepsÂ trackÂ ofÂ theÂ numberÂ ofÂ chainÂ sawsÂ itÂ rentsÂ eachÂ dayÂ duringÂ aÂ givenÂ periodÂ andÂ XÂ denotesÂ theÂ numberÂ ofÂ sawsÂ rentedÂ perÂ day.Â DescribeÂ aÂ probabilityÂ distribution,Â ifÂ itÂ isÂ probabilityÂ distribution,Â findÂ theÂ mean,Â variance,Â andÂ standardÂ deviationÂ forÂ theÂ probabilityÂ distribution.Listed below are speeds (mi/h) measured from 12 ransom sample at 3.30 pm on a weekday in traffic. The speed limit for this road is 65mi/h. Use the sample data to construct 95% confidence interval for the mean speed.Â Â Â 62, 61, 61, 57,61, 54, 59, 58, 59, 69, 60, 67

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