Question1 : (Marks:5x2=10) Define the followingterms: Question2: (Marks:7+3= 10)

Question

Question1:                                                                                                                          (Marks:5x2=10)

Define the followingterms:                                         

Question2:                                                                                                                        (Marks:7+3= 10)

a)

A random variable X has the following probabilitydistribution:

x

4                            5                        6

P(x)

0.3                        0.5                      0.2

Find the mean and standard error of the mean for a randomsample of size 2.

b)

It is known that 3% of the persons living in Gujranwala city areknown to have a certain disease. Find the mean and standard errorof sampling distribution of proportion of diseased persons in arandom sample of 500 persons.

Question3:                                                                                                                        (Marks:5x2= 10)

a)

In a random sample of 500 people eating lunch at a hospitalcafeteria on various Fridays, it was found that preferred seafood.Find 95% confidence interval for the actual proportion of peoplewho eat seafood on Fridays at this cafeteria.

b)

The mean and standard deviation for the quality grade-pointaverages of a random sample are calculated to be 2.6 and 0.3. Howlarge sample is required if we want to be 95% confident that ourestimate will not be in error by more than 0.05.

x

4                            5                        6

P(x)

0.3                        0.5                      0.2

Explanation / Answer

Parameter is any characteristic of the population. Statisticon the other hand is a characteristic of the sample sampling distribution is the probabilitydistribution, under repeated samplingof the population,of a given statistic unbiased estimator is A quantity which does not exhibitestimatorbias. An estimator is a biased estimator if its expected valueis not equal to the value of the population parameter beingestimated. Estimation theory is a branch of statistics andsignalprocessing that deals with estimating the values of parametersbased on measured/empirical data The standard error of a method of measurementor estimation is the standarddeviation of the samplingdistribution associated with the estimation method

Related Questions

Navigate

• Browse (All)
• Browse Q
• Subjects

---