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Business Statistics MCQs 1st Edition Arshad Iqbal - Solutions
The frequency distribution is considered as positively skewed if all the values of distribution moves to A. variance tail B. upper tail C. lower tail D. median tail
According to notations used by R.A. Fisher, the value of beta one with square root is equivalent to A. gamma four B. gamma one C. gamma two D. gamma three
The degree or extent to which the frequency of the observations in data set are concentrated in given frequency distribution is classified as A. alpha system B. gamma system C. beta system D. kurtosis
Considering the moments in standard units, the third alpha with power 2 is equivalent to A. beta one B. beta two C. beta three D. beta four
If the first quartile and third quartile are as 20 and 18 respectively with the median of 12 then distribution is skewed to A. close end tail B. open end tail C. lower tail D. upper tail
If the median is 18, coefficient of skewness is 6 and the mean is 30 then standard deviation of data is A. 6 B. 18 C. 30 D. 36
The distribution whose mode is not well defined and the classes of distribution are open ended uses the coefficient of skewness by A. Karl Pearson B. Professor Kelly C. Professor Keller D. Professor Bowley
Considering the alpha and beta in moments, the measure of asymmetrical distribution is possible with A. alpha three and beta one B. alpha two and beta one C. alpha three and beta four D. alpha three and beta two
The 90th percentile is 60, 50th percentile is 30 and 10th percentile is 40 then the coefficient of skewness is A. ±30 B. ±2 C. ±8 D. ±4
The first quartile of data set is 12, third quartile of data set is 18 and median is 9 then the absolute skewness of the same data set is A. 18 B. 12 C. 9 D. 15
In kurtosis, the beta is less than three and median is preferred as central tendency for A. leptokurtic distribution B. platykurtic distribution C. mesokurtic distribution D. mega curve distribution
Considering the mean, mode and skewness of data, the value of skewness will be negative if A. mean>mode B. mean
The measures whose calculated values represents only some proportion of frequency distribution are classified as A. measures of deciles systems B. measures of momentum system C. measures of percentile system D. measures of moment system
The mode of set of 20 observations is 18 and the skewness of observations around central value is 5 then the calculated value of arithmetic mean of observations is A. 23 B. 7 C. 13 D. 43
The method of calculating coefficient of skewness by Karl Pearson method is useful for the type of distributions that are A. non concentrated B. open ended C. close ended D. concentrated
The formula of calculating moment about means for the origin or zero is A. 1⁄n Σfxr B. 3⁄4 Σfxn C. 5⁄7 Σfxr D. 2⁄10 Σfxr
Consider a set of observations whose mean is 14 and the mode of the same set of observations is 12 then the values of skewness around central value are A. 2 B. 26 C. 1.667 D. 168
In kurtosis, the frequency curve that has flatten top than normal curve of bell shaped distribution is classified as A. leptokurtic B. platykurtic C. mega curve D. mesokurtic
Considering the mean, mode and skewness of data, the value of skewness will be positive if A. meanmedian C. mean>mode D. mean
According to beta, the platykurtic distribution is one in which the A. beta three is greater than three B. beta two is greater than three C. beta three is less than three D. beta two is greater than two
The three times of difference between mean and median is divided by standard deviation to calculate coefficient of skewness by method of A. Professor Keller B. Professor Bowley C. Karl Pearson D. Professor Kelly
In a symmetrical distribution, the third quartile and first quartile of data in distribution must A. be at equal distance B. not be at equal distance C. positive value concentration D. negative value concentration
If for a distribution the difference of first quartile and median is less than difference of median and third quartile then the distribution is classified as A. negatively skewed B. not skewed at all C. absolute open ended D. positively skewed
The unifying method to summarize the statistical measure of descriptive nature is called A. unifying momentum B. momentum summary C. moments D. momentum
For the grouped data in calculation of moments from mean, the formula to calculate this measure is A. 2⁄n Σn(x+mean)r B. 2⁄n Σn(x+mean)x C. 1⁄n Σf(x-mean)r D. 2⁄n Σf(x-mean)r
The coefficient of skewness method in which the basis of measuring is deciles and percentiles is classified as A. Gary's coefficient of skewness B. Sharma's coefficient of skewness C. Kelly's coefficient of skewness D. Jack Karl's coefficient of skewness
For the ungrouped data in calculation of moments from mean, the formula to calculate this measure is A. 1⁄n Σ(x-mean)r B. 2⁄n Σ(x-mean)r C. 2⁄n Σ(x+mean)r D. 2⁄n Σ(x+mean)x
The statistical measures such as deciles, percentiles, median and quartiles are classified as part of A. percentile system B. quartile system C. deciles system D. moment system
The distribution is considered leptokurtic if A. beta three is less than three B. beta two is greater than two C. beta three is greater than three D. beta two is greater than three
For the Karl Pearson's skewness coefficient the value of skewness must be in limits A. ±3 B. ±5 C. ±4 D. ±2
Considering the moments in standard units, the fourth alpha with power 1 is equivalent to A. beta three B. beta four C. beta one D. beta two
In measures of skewness, the absolute skewness is equal to A. mean+mode B. mean-mode C. mean+median D. mean-median
In kurtosis, the beta is greater than three and quartile range is preferred for A. mesokurtic distribution B. mega curve distribution C. leptokurtic distribution D. platykurtic distribution
The frequency distribution is considered as negatively skewed if all the values of distribution moves to A. lower tail B. median tail C. variance tail D. upper tail
The kurtosis defines the peakness of the curve in the region which is A. around the mode B. around the mean C. around the median D. around the variance
The moment about mean which is indication whether distribution is symmetrical or asymmetrical is considered as A. first moment B. third moment C. second moment D. fourth moment
The convenient summarizing method which is used to describe the population characteristics rather than explaining samples of that population is classified as A. unstable moments B. stable moments C. lower moments D. higher moments
The moment about population mean which is expressed in standard units is denoted by A. Latin letter beta B. Greek letter gamma C. Greek letter alpha D. Greek letter beta
The median of a moderately skewed distribution is 8, third quartile is 12, first quartile is 8 and inter-quartile range is 4 then relative coefficient of skewness is A. ±8 B. ±1 C. ±9 D. ±11
The method of calculating skewness which is based on the positions of quartiles and median in a distribution is called A. Gary's coefficient of skewness B. Sharma's coefficient of skewness C. Bowley's coefficient of skewness D. Jack Karl's coefficient of skewness
The statistical measures such as average deviation, standard deviation and mean are classified as part of A. deciles system B. moment system C. percentile system D. quartile system
The measurement techniques used to measure the extent of skewness in data set values are called A. measure of distribution width B. measure of median tail C. measure of tail distribution D. measure of skewness
If the beta one is 9, beta two is 11 then coefficient of skewness is A. 0.589 B. 0.689 C. 0.489 D. 0.889
If the first quartile and third quartile are as 32 and 35 respectively with the median of 20 then distribution is skewed to A. lower tail B. upper tail C. close end tail D. open end tail
If for a distribution the difference of first quartile and median is greater than difference of median and third quartile then the distribution is classified as A. absolute open ended B. positively skewed C. negatively skewed D. not skewed at all
The quota sampling, judgment sampling and convenience sampling are classified as types of A. random sampling B. non random sampling C. direct sampling D. indirect sampling
If the value of p is 0.70 and the sample size is 28 then the value of standard deviation of sample proportion is A. 0.097 B. 0.067 C. 0.087 D. 0.077
In sampling, the measures such as variance, mean, standard deviation are considered as A. absolute statistics B. coverage estimator C. parameters D. estimators
The method of random sampling which is also called area sampling method is classified as A. statistical sub cluster sampling B. sub cluster sampling C. proportional inertia sampling D. cluster sampling
The elements in sample with specific characteristics is divided to sample size to calculate A. expected deviated proportion B. expected mean proportion C. population proportion D. sample proportion
In sampling distribution, the standard deviation must be equal to A. σ + square root of sample size B. σ * square root of sample size C. σ - square root of sample size D. σ ⁄ square root of sample size
The method of sampling in which the random sampling will not be possible because the population is widely spread is classified as A. secondary stage sampling B. multistage sampling C. primary stage sampling D. sub stage sampling
The procedure in which the number of elements in stratum are not in proportional to the number of elements in population is classified as A. indirect strata procedure B. direct strata procedure C. non proportional procedure D. proportional procedure
The sample statistics are denoted by the A. upper case Greek letter B. associated roman alphabets C. roman letters D. lower case Greek letter
In statistical analysis, the sample size is considered small if A. n > 50 B. n < 50 C. n > 30 D. n < 30
The value of estimator is subtracted from mean and then divided by standard deviation to calculate A. random variable with standard error B. sample size of population C. standard normal random variable D. error free random variable
If the proportion of population is 10.5 then the proportion mean of sampling distribution is A. 10.5 B. 12.5 C. 15.5 D. 18.5
The bias which occurs when the randomly drawn sample from population fails to represent whole population is classified as A. populated bias B. random sample bias C. under coverage bias D. coverage bias
In sample distribution, the degree of freedom is calculated as A. df = n- 2 B. df = n- 1 C. df = n- 3 D. df = n- 5
If the p is equal to 0.65, the value of N is 25000 whereas the sample size is 50 then the value of standard deviation of sample proportion is A. 0.0056 B. 0.0045 C. 0.0065 D. 0.045
The type of sampling In which each element of population has equally likely chance of occurrence in a random sample is classified as A. regular and irregular sampling B. error free sampling C. inertia sampling D. simple random sampling
The type of sampling in which the desired and useful information is gathered from the best position holder is classified as A. quota sampling B. convenience sampling C. purposive sampling D. judgment sampling
When the statistical inference is made on the basis of sample results about the characteristics of population then this is classified as A. inferential statistics B. sample statistics C. population statistics D. population variability
The distribution of difference of proportions approximate the normal standard distribution only if A. n > or = 30 B. n < or = 30 C. n > or = 50 D. n < or = 50
The distribution which consists of all the values of sample statistic of sampling is classified as A. statistic distribution B. sampling distribution C. possibility distribution D. valuable distribution
The important principles to determine the valid statistical inference must includes A. principle of sampling error B. principle of statistical regularity C. principle of inertia D. both b and c
The difference between corresponding population and unbiased estimate in the terms of absolute value is classified as A. sampling error B. random sample error C. under coverage error D. coverage error
In stratified sampling, the sample drawn randomly from the strata is classified as A. sub strata B. sub sample C. direct sub group D. indirect sub group
In sampling distribution, the formula of calculating standard deviation of sample proportion is as A. square root of pqn ⁄ p B. square root of pq ⁄ n C. square root of nq ⁄ p D. square root of pn ⁄ q
The standard deviation of a sampling distribution is also classified as A. standard error B. statistic error C. sampling error D. probability error
The procedure of selecting the desired portion from population which describes the characteristics of whole population is A. sampling B. extracting C. deviation of sample D. variability of sample
The uncertainty of elements can be reduced with the estimation of A. under coverage error B. coverage error C. sampling error D. random sample error
If the value of x-bar is 70 and the μ of sampling distribution is 15 with the standard deviation is 20 then the standard normal variable is A. 2.75 B. 3.75 C. 4.75 D. 5.75
IF the population standard deviation is not known then the formula used to calculate standard error is as A. n - 1 ⁄ sample size square root B. s ⁄ sample size square root C. n + 1 ⁄ square root of s D. n * 2 ⁄ sample size square root
All the values in sample distribution that can freely varies in the selected random sample from population are indicated as A. degree of freedom B. degree of error C. degree of statistic D. degree of possibility
The measures in sampling that are results of sample analyses are called A. absolute statistics parameter B. coverage estimators C. population statistics D. sample statistic
The conditions such as large sample size to represent population and samples must be drawn randomly are included in A. principle of statistical regularity B. principle of statistical irregularity C. principle of sampling error D. principle of inertia
The theorem which states that as the sample size increases the sampling distribution must approach the normal distribution is classified as A. limited approximation theorem B. secondary limit theorem C. primary limit theorem D. central limit theorem
If the population parameter μ and the unbiased estimate of population is x‾ then the sampling error is as A. |p‾ - μ|B. |x‾ - μ|C. |x‾ + μ|D. |x‾ * μ|
If the mean of population is 25 then the mean of sampling distribution is A. 25 B. 5 C. 30 D. 35
The method of sampling in which the population is divided in to mutual exclusive groups that have useful context in statistical research is classified as A. stratified sampling B. regular group sampling C. irregular group sampling D. direct group sampling
In cluster sampling, the elements of selected clusters are classified as A. elementary units B. primary units C. secondary units D. proportional units
In systematic sampling, the population is 200 and the selected sample size is 50 then the sampling interval is A. 250 B. 0.25 C. 4 D. 40
The methods in statistics that uses sample statistics to estimate the parameters of the population are considered as A. inferential statistics B. absolute statistics C. coverage statistics D. random sample statistics
If the standard deviation of the population is known then the μmust be equal to A. absolute value of estimator B. error free mean C. expected value of mean D. inferential value of mean
In statistical analysis, the sample size is considered large if A. n > or = 30 B. n < or = 30 C. n > or = 50 D. n < or = 50
The listing of elements in the population with the identifiable number is classified as A. regularity experimental frame B. indirect experiment frame C. direct experimental frame D. frame for experiment
The unknown or exact value that represents the whole population is classified as A. parameters B. estimators C. absolute statistics D. coverage estimator
The principle which states that larger the sample size larger the accuracy and stability is part of A. principle of sampling error B. principle of inertia C. principle of statistical regularity D. principle of statistical irregularity
The bias in which few respondents responds to offered questionnaire is classified as A. responsive bias B. non-responsive bias C. distributed error D. concerning error
The bias occurred in collection of sample because of confusing questions in the questionnaire is classified as A. non-responsive bias B. non distribution bias C. non wording bias D. wording bias
The cluster sampling, stratified sampling and systematic sampling are types of A. direct sampling B. indirect sampling C. random sampling D. non random sampling
Regardless to difference in distribution of sample and population, the mean of sampling distribution must be equal to A. degree of freedom B. statistic error C. population mean D. standard error
The mistakes or biases which are considered as causes of nonsampling errors must includes A. incorrect enumeration of population B. non random sample selection C. incomplete questionnaire D. all of above
The parameters of population are denoted by the A. roman letters B. lower case Greek letter C. upper case Greek letter D. associated roman alphabets
The type of stratified proportion sampling in which the information is gathered on convenience basis from different groups of population is classified as A. purposive sampling B. judgment sampling C. quota sampling D. convenience sampling
In the systematic sampling, the value of k is classified as A. sampling interval B. sub stage interval C. secondary stage interval D. multistage interval
If the standard deviation of the population is 35 and the sample size is 9 then the standard deviation of sampling distribution is A. 12.67 B. 11.67 C. 13.67 D. 14.67
The formula of calculating mean for the negative binomial probability distribution is A. q ⁄ p B. P ⁄ Q C. p ⁄ r D. r ⁄ p
In the classification of probability distributions, the 'Erlang distribution' is also called A. alpha distribution B. beta distribution C. gamma distribution D. exponential distribution
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