Multiple Choice Questions (MCQs)
In normal distribution, β2 = ________:
For Platykurtic distribution, b2 (moment ratio) will be:
The proportion of males in Pakistan is at least 0.48, the alternative hypothesis H1 is
If S.D(X) = 5 then S.D(\(2X + 5 \over 2\)) = ________
Which of the following is an unbiased estimator of population σ2?
If a significance level of 1% is used rather than 5%, the null hypothesis is:
The covariance of a random variable with itself is:
The degrees of freedom for a t-test with sample size 6 is:
An automobile is running, during the first 60 Km, at the rate of 10 Km/hr. During the second 60 Km at the rate of 30 Km/hr, while during the third 60 Km, its speed was 40 Km/hr. What method is more appropriate to calculate the average speed?
Serious disadvantage of using range as a measure of dispersion is that it is based on only:
For any two estimators T1 and T2, if VAR(T1) < VAR(T2), then T1 is:
If a significance level of 5% is used rather than 1%, the null hypothesis is:
The total number of samples when sampling is done without replacement is equal to:
What is the graphical shape of the chi-square distribution?
In a one-way ANOVA:
The number of parameters in a Poisson distribution is (are):
Which one is the measure of central tendency:
Which of the following is not a characteristic of the arithmetic mean?
For α = 0.01, the critical values of z for two tailed test are equal to:
Value of harmonic mean is lower than ________.
The weights of 7 students were measured and recorded as follows: 53.0, 54.5, 57.2, 51.7, 57.4, 50.5, 52.8 The stem part is:
The mean of a distribution is 30, the mode is 24 and the standard deviation is 4, then the coefficient of skewness will be:
A ________ is a range of numbers inferred from the sample that has a certain probability of including the population parameter over the long run.
Which type of the curve is represented by the following shape?
When the population is normally distributed, population standard deviation is unknown and the sample size is n = 15, the confidence interval for the population mean is based on
The value of x2 can never be
Which one of the following is not a type of frequency curve?
From the given data, which one of the following chart we can draw:
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
If f(x, y) is bivariate probability density function of continuous random variables X and Y then marginal density function of Y i.e. h(y) is:
In hyper geometric distribution formula, N= number of units in the population, n = number of units in the sample, and k is defined as:
A diagram in which each circle is divided into different sectors is called
From the table given below, how many students obtained marks between 60 and 69?
Which of the following is a characteristic of the normal distribution:
In a cumulative frequency polygon, the cumulative frequency of each class is plotted against:
Which statement is true for a discrete Uniform distribution?
What is 'fm' in the formula of mode:
Which of the following statements is NOT true?
The shape of the Poisson distribution is:
An experiment was conducted to estimate the mean yield of a new variety of wheat. A sample of 20 plots gave a mean yield of 2.9, and a 95% confidence interval of (2.48, 3.32). This means:
For test hypothesis Ho:μ 1 = μ 2 and H1:μ1 < μ2, the critical region at 0.05 level of significance and n > 30
In how many ways, a team of 11 players can be chosen from a total of 16 players?
Which of the following is correct option to find P(X + Y ≤ 1) ?
What is the median for the following data: 1, 1, 2, 2, 5, 5, 7, 7, 7
From the table given below, how many students obtained marks 80 or above:
β is the probability of:
Suppose that a sample space S consists of four simple events: A, B, C, and D. That is S = {A, B, C, D}. If P(A) = .4, P(B) = .3, P© = .2, what is P(D)?
Which scale of measurementis more suitable in the following example? The number of response given in a specified time period.
Hypergeometric probability distribution has
E(4X + 5) = ________
A judge can acquit a guilty person is the example of
Positive square root of variance is known as:
What factor determines the shape of the t-distribution?
________ is a range of numbers inferred from the sample that has a certain probability of including the population parameter over the long run.
By definition f(y | x) = ________
In normal distribution, β1 = ________:
Dividing mean deviation by mean we get a pure number known as
The probability of an event always lies between:
If Xm is maximum and X0 is minimum value in a data set then formula for co-efficient of dispersion is as:
The degrees of freedom for a t-test with sample size 14 is:
To determine a sample size which test we use ________.
An urn contains 4 red balls and 6 green balls. A sample of 4 balls is selected from the urn without replacement. It is the example of:
The conditional probability function f(x|1) = ________
In a set of 10 values all the values are 5, what will be the P50?
For a particular data set the Pearson's coefficient of skewness is greater than zero. What will be the shape of distribution?
Which of the following is a measure of absolute dispersion?
Atmosphere pressure is the example of:
If total probability of joint probability distribution f(x, y) is ONE then what will be the total probability of its marginal pdf h(y)?
In case of a frequency distribution, the 7th decile is given by the formula:
In hypothesis testing, suppose the critical value is |Z| > 2.33. This value shows that the applied test is ________?
A good way to get a small standard error is to use a ________.
If mean of X2 distribution is k then variance will be:
Dividing interquartile range by 2 we get:
The parameter of the chi-square distribution is ________.
When we draw the sample with replacement, the probability distribution to be used is:
In a binomial experiment successive trials are:
If P(X=x)=0, then f(x) is a ________ probability function.
For positively skewed distribution Mean ________ Median ________ Mode
A fair coin is tossed three times. What is the probability that at least one head appears?
In sampling from a large population with sigma = 35, the standard error of the mean is found to be 4 next. The size of the sample used is:
The data which has not undergone any statistical treatment is called:
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