IMT (Assignment)

2YR PGDM

Semester 2

Quantitative Methods

2YR PGDM

Semester 2

Quantitative Methods

**QTMC 522 (2019)**

**Assignment Set – 1**

**The variance of a population is known to be 400. At 95% confidence, the margin of error will be**

**92 or less****4 or less****2 or less****29 or less**

**The p-value**

**is the same as the Z statistic****is a distance****is a probability****measures the number of standard deviations from the mean**

**In a cumulative relative frequency distribution, the last class will have a cumulative relative frequency equal to**

**zero****the total number of elements in the data set****one****100**

**In hypothesis testing if the null hypothesis is rejected,**

**the sample size has been too small****the alternative hypothesis is true****the data must have been accumulated incorrectly****no conclusions can be drawn from the test**

**In hypothesis testing, the tentative assumption about the population parameter is**

**either the null or the alternative****None of these alternatives is correct.****the alternative hypothesis****the null hypothesis**

**In determining the sample size necessary to estimate a population proportion, which of the following information is not needed?**

**the maximum margin of error that can be tolerated****a preliminary estimate of the true population proportion P****the confidence level required****the mean of the population**

**For which of the following values of P is the value of P(I - P) maximized?**

**P = 0.99****P = 0.50****P = 0.01****P = 0.90**

**A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to 0.90, the interval for µ**

**becomes 0.1****does not change****becomes wider****becomes narrower**

**In a random sample of 100 observations, P = 0.2. The 95.44% confidence interval for P is**

**120 to 0.280****134 to 0.266****164 to 0.236****122 to 0.278**

**In general, higher confidence levels provide**

**narrower confidence intervals****a smaller standard error****wider confidence intervals****unbiased estimates**

**The level of significance in hypothesis testing is the probability of**

**None of these alternatives is correct.****rejecting a true null hypothesis****accepting a true null hypothesis****accepting a false null hypothesis**

**As the number of degrees of freedom for a t distribution increases, the difference between the t distribution and the standard normal distribution**

**becomes larger****becomes smaller****None of the above answers is correct.****stays the same**

**In constructing a frequency distribution, as the number of classes are decreased, the class width**

**remains unchanged****decreases****can increase or decrease depending on the data values****increases**

**A tabular method that can be used to summarize the data on two variables simultaneously is called:**

**an o give****crosstabulation****a histogram****simultaneous equations**

**The absolute value of the difference between the point estimate and the population parameter it estimates is the**

**precision****error of confidence****sampling error****standard error**

**If we change a 95% confidence interval estimate to a 99% confidence interval estimate, we can expect**

**the size of the confidence interval to increase****the size of the confidence interval to decrease****the size of the confidence interval to remain the same****the sample size to increase**

**A cumulative relative frequency distribution shows**

**the percentage of data items with values less than or equal to the upper limit of each class****the percentage of data items with values less than or equal to the lower limit of each class****the proportion of data items with values less than or equal to the lower limit of each class****the proportion of data items with values less than or equal to the upper limit of each class**

**The t value with a 95% confidence and 24 degrees of freedom is**

**069****064****492****711**

**The sum of frequencies for all classes will always equal**

**1****the number of classes****the number of elements in a data set****a value between 0 and 1**

**A researcher is gathering data from four geographical areas designated: South = 1; North = 2; East = 3; Vest = 4. The designated geographical regions represent**

**either quantitative or qualitative data****label data****quantitative data****qualitative data**

**In a cumulative percent frequency distribution, the last class will have a cumulative percent frequency equal to**

**100****1****the total number of elements in the data set****one**

**The ability of an interval estimate to contain the value of the population parameter is described by the**

**degrees of freedom****confidence level****precise value of thepopulation mean m****None of the above answers is correct.**

**If several frequency distributions are constructed from the same data set, the distribution with the widest class width will have the**

**none of these****most classes****fewest classes****same number of classes as the other distributions since all are constructed from the same data**

**An estimate of a population parameter that provides an interval of values believed to contain the value of the parameter is known as the**

**interval estimate****confidence level****population estimate****parameter value**

**The sum of the relative frequencies for all classes will always equal**

**any value larger than one****the number of classes****the sample size****one**

**A frequency distribution is a tabular summary of data showing the**

**percentage of items in several classes****fraction of items in several classes****number of items in several classes****relative percentage of items in several classes**

**In order to estimate the average time spent on the computer terminals per student at a local university, data were collected for a sample of 81 business students over a one week period Assume the population standard deviation is 1.2 hours. The standard error of the mean is**

**16****5****133****014**

**Whenever the population standard deviation is unknown and the population has a normal or near-normal distribution, which distribution is used in developing an interval estimation?**

**z distribution****standard distribution****beta distribution****t distribution**

**Fifteen percent of the students in a school of Business Administration are majoring in Economics, 20% in Finance, 35% in Management, and 30% in Accounting. The graphical device(s) which can be used to present these data is (are)**

**only a pie chart****a line graph****both a bar graph and a pie chart****only a bar graph**

**The confidence associated with an interval estimate is called the**

**significance****confidence level****precision****degree of association**

** **

**Assignment Set – 2**

**A histogram is said to be skewed to the left if it has a**

**longer tail to the right****shorter tail to the right****longer tail to the left****shorter tail to the left**

**A cumulative relative frequency distribution shows**

**The proportion of data items with values less than or equal to the upper limit of each class****the proportion of data items with values less than or equal to the lower limit of each class****the percentage of data items with values less than or equal to the upper limit of each class****the percentage of data items with values less than or equal to the lower limit of each class**

**A researcher is gathering data from four geographical areas designated :South = I; North = 2; East = 3; West = 4. The designated geographical regions represent**

**either quantitative or qualitative data****qualitative data****quantitative data****label data**

**A frequency distribution is a tabular summary of data showing the**

**fraction of items in several classes****relative percentage of items in several classes****percentage of items in several classes****number of items in several classes**

**When the level of confidence increases, the confidence interval**

**stays the same****becomes narrower****becomes wider****cannot tell from the information given**

**The most common graphical presentation of quantitative data is a**

**relative frequency****pie chart****bar graph****histogram**

**A frequency distribution is**

**a tabular summary of a set of data showing the frequency of items in each of several nonoverlapping classes****a tabular summary of a set of data showing the relative frequency****a graphical device for presenting qualitative data****a graphical form of representing data**

**The confidence associated with an interval estimate is called the**

**significance****confidence level****precision****degree of association**

**The p-value**

**measures the number of standard deviations from the mean****is the same as the Z statistic****is a distance****is a probability**

**In constructing a frequency distribution, as the number of classes are decreased, the class width**

**can increase or decrease depending on the data values****remains unchanged****decreases****increases**

**We are interested in conducting a study in order to determine what percentage of voters of a state would vote for the incumbent governor. What is the minimum size sample needed to estimate the population proportion with a margin of error of 0.05 or less at 95% confidence?**

**100****200****196****58**

**In a random sample of 100 observations, P = 0.2. The 95.44% confidence interval for P is**

**120 to 0.280****134 to 0.266****122 to 0.278****164 to 0.236**

**An estimate of a population parameter that provides an interval of values believed to contain the value of the parameter is known as the**

**confidence level****population estimate****interval estimate****parameter value**

**The difference between the point estimate, such as the sample mean, and the value of the population parameter it estimates, such as the population mean, is known as the**

**confidence level****interval estimate****parameter estimate****sampling error**

**Whenever using the t distribution in estimation, we must assume that**

**the sampling distribution is approximately normal****the finite population correction factor is necessary****the population is approximately normal****the sample size is at least 30**

**The difference between the lower class limits of adjacent classes provides the**

**class midpoint****class width****class limits****number of classes**

**If a hypothesis is rejected at the 5% level of significance, it**

**Will never be tested at the 1%level****may be rejected or not rejected at the 1% level****will always be accepted at the 1% level****will always be rejected at the 1% level**

**For which of the following values of P is the value of P(I - P) maximized?**

**P = 0.01****P = 0.99****P = 0.50****P = 0.90**

**A probability statement about the sampling error is known as the**

**precision****confidence****interval****error**

**In general, higher confidence levels provide**

**a smaller standard error****wider confidence intervals****unbiased estimates****narrower confidence intervals**

**In hypothesis testing if the null hypothesis is rejected,**

**the sample size has been too small****no conclusions can be drawn from the test****the data must have been accumulated incorrectly****the alternative hypothesis is true**

**Qualitative data can be graphically represented by using a(n)**

**bar graph****frequency polygon****histogram****o give**

**The t value with a 95% confidence and 24 degrees of freedom is**

**711****069****492****064**

**A 95% confidence interval for a population mean is determined to be 100 to 120. If the confidence coefficient is reduced to 0.90, the interval for µ**

**becomes 0.1****becomes wider****does not change****becomes narrower**

**An interval estimate is a range of values used to estimate**

**a sample statistic****a population parameter****the shape of the population's distribution****the sampling distribution**

**After computing a confidence interval, the user believes the results are meaningless because the width of the interval is too large. Which one of the following is the best recommendation?**

**Discard the current data and try a different sample.****Increase the level of confidence for the interval.****Reduce the population variance.****Increase the sample size.**

**In hypothesis testing, the tentative assumption about the population parameter is**

**the null hypothesis****the alternative hypothesis****either the null or the alternative****None of these alternatives is correct.**

**A situation in which conclusions based upon aggregated cross tabulation are different from unaggregated crosstabulation is known as**

**Simpson's rule****wrong crosstabulation****Simpson's paradox****aggregated crosstabulation**

**The sum of the relative frequencies for all classes will always equal**

**any value larger than one****the sample size****one****the number of classes**

**As the sample size increases, the sampling error**

**increases****None of the above answers is correct.****decreases****stays the same**

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