Multiple Choice Questions (MCQs)
For test hypothesis Ho:μ 1 = μ 2 and H1:μ1 < μ2, the critical region at 0.05 level of significance and n > 30
The degrees of freedom for a t-test with sample size 6 is:
Value of harmonic mean is lower than ________.
Serious disadvantage of using range as a measure of dispersion is that it is based on only:
What is the graphical shape of the chi-square distribution?
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)?
Atmosphere pressure is the example of:
Which one is the measure of central tendency:
For a particular data set the Pearson's coefficient of skewness is greater than zero. What will be the shape of distribution?
If a significance level of 1% is used rather than 5%, the null hypothesis is:
Dividing mean deviation by mean we get a pure number known as
A good way to get a small standard error is to use a ________.
In how many ways, a team of 11 players can be chosen from a total of 16 players?
From the table given below, how many students obtained marks 80 or above:
The shape of the Poisson distribution is:
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:
In a one-way ANOVA:
E(4X + 5) = ________
What is 'fm' in the formula of mode:
Dividing interquartile range by 2 we get:
Which statement is true for a discrete Uniform distribution?
The value of x2 can never be
If P(X=x)=0, then f(x) is a ________ probability function.
If Xm is maximum and X0 is minimum value in a data set then formula for co-efficient of dispersion is as:
In a binomial experiment successive trials are:
The covariance of a random variable with itself is:
Which type of the curve is represented by the following shape?
From the given data, which one of the following chart we can draw:
What factor determines the shape of the t-distribution?
A ________ is a range of numbers inferred from the sample that has a certain probability of including the population parameter over the long run.
A fair coin is tossed three times. What is the probability that at least one head appears?
The mean of a distribution is 30, the mode is 24 and the standard deviation is 4, then the coefficient of skewness will be:
The proportion of males in Pakistan is at least 0.48, the alternative hypothesis H1 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:
The probability of an event always lies between:
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:
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:
To determine a sample size which test we use ________.
Which of the following is a measure of absolute dispersion?
For positively skewed distribution Mean ________ Median ________ Mode
In case of a frequency distribution, the 7th decile is given by the formula:
A diagram in which each circle is divided into different sectors is called
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)?
Hypergeometric probability distribution has
A judge can acquit a guilty person is the example of
In a cumulative frequency polygon, the cumulative frequency of each class is plotted against:
Which of the following is a characteristic of the normal distribution:
By definition f(y | x) = ________
When we draw the sample with replacement, the probability distribution to be used is:
In normal distribution, β2 = ________:
In a set of 10 values all the values are 5, what will be the P50?
________ is a range of numbers inferred from the sample that has a certain probability of including the population parameter over the long run.
The parameter of the chi-square distribution is ________.
In hypothesis testing, suppose the critical value is |Z| > 2.33. This value shows that the applied test is ________?
For α = 0.01, the critical values of z for two tailed test are equal to:
The conditional probability function f(x|1) = ________
Which of the following is not a characteristic of the arithmetic mean?
Positive square root of variance is known as:
The degrees of freedom for a t-test with sample size 14 is:
The total number of samples when sampling is done without replacement is equal to:
From the table given below, how many students obtained marks between 60 and 69?
For Platykurtic distribution, b2 (moment ratio) will be:
The data which has not undergone any statistical treatment is called:
Which of the following is correct option to find P(X + Y ≤ 1) ?
If S.D(X) = 5 then S.D(\(2X + 5 \over 2\)) = ________
In normal distribution, β1 = ________:
Which scale of measurementis more suitable in the following example? The number of response given in a specified time period.
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:
Which one of the following is not a type of frequency curve?
Which of the following is an unbiased estimator of population σ2?
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
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:
If mean of X2 distribution is k then variance will be:
What is the median for the following data: 1, 1, 2, 2, 5, 5, 7, 7, 7
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?
The number of parameters in a Poisson distribution is (are):
For any two estimators T1 and T2, if VAR(T1) < VAR(T2), then T1 is:
β is the probability of:
Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
If a significance level of 5% is used rather than 1%, the null hypothesis is:
Which of the following statements is NOT true?
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