SECTION B

Total Marks : $50$

Answer any $5$ questions out of

$6$

What should be the size of the sample if a simple random sample from a population of $4000$ items is to be drawn to estimate the percent defective within $2$ percent of the true value with $95\mathrm{.}5$ percent probability $?$ Value of $p=0\mathrm{.}02.z=2\mathrm{.}005($as per table of area under normal curve for the given confidence level of $95\mathrm{.}5\%).$

$(10$ Marks$)$

What is the necessity of defining a research problem, explain with suitable example?

$(10$ Marks$)$

Enumerate and explain about ethics in Research and ethical behavior of research.?

$(10$ Marks$)$

Discuss different methods of collecting data with the help of suitable examples. Differentiate between Observation and Interview.

Marks$)$

Elaborate mechanics of writing a research report. Discuss preparation of final bibliography and explain writing mechanism of bibliography.

$(10$ Marks$)$

Management of Hotel Taj, Lucknow is interested in determining the percentage of the hotel's guests who stay for more than $3$ days. The reservation manager wants to be $95$ percent confident that the percentage has been estimated to be within $+-3\%$ of the true value. What is the most conservative sample size needed for this problem $?$ Value of $p=0\mathrm{.}5.z=1\mathrm{.}96($as per table of area under normal curve for the given confidence level of $95\%).$

$(10$ Marks$)$