Does each of the following statements pertain to an estimate or an estimator? If the
statement pertains to an estimate is it an interval estimate or point estimate? If the
statement pertains to an estimator write the estimator.
i) The head of a publishing company says that the firm’s physics textbook will sell
about 9000 copies in 2012.
ii) A cencus prefers the median to the mean as a measure of central tendency for the
income distribution of families in a standard metropolitan city.
iii) A stock market analyst who appears on the television programme, estimates that
the price of a particular common stock will be between 50 and 60 at the end of
six months
i) The head of a publishing company says that the firm’s physics textbook will sell about 9000 copies in 2012.
Answer: This statement pertains to a point estimate. The head of the publishing company is providing a single, specific value (9000 copies) as an estimate of the number of textbook sales in 2012.
ii) A census prefers the median to the mean as a measure of central tendency for the
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Calculate the 5-yearly moving average for the following data of the profits of a
company (in Rs. Lakhs) during 1995 to 2010:
.
A random sample of 170 boys from 8502 boys in an area showed that 21 had some
nutritional deficiency. Estimate the proportion of nutritionally deficient boys and the
standard error of the estimate. Find the confidence interval also.
In a partially destroyed laboratory record of an analysis of correlation data, the
following results are legible:
The equations of two regression lines are as follows:
3Y 9X 46
3X 12Y 19
 
 
Obtain (i) mean values of X and Y; (ii) the values of regression coefficients; and (iii)
the value of correlation coefficient.
In a binomial distribution, the probability of success is
p = 2 / 5. Calculate the
probability that (5)
the number of successes in n = 6 trails is at least 3.
the number of successes in n = 6 trails is 5.
Construct a continuous frequency distribution for the following heights (in cm) of 50
students in a class and draw its frequency polygon:
146 156 152 167 178 180 172 162 148
153 161 173 163 174 147 179 148 151
168 172 165 173 172 180 175 145 153
154 162 164 170 172 160 161 158 152
163 165 170 168 158 149 155 160 150
149 167 176 169 159
A company appointed four salesman A, B, C and D and observed their sales in three
seasons – Summer, Winter and Monsoon. Test whether the average sales of the four
salesmen differ in amount (in Rs. Lakhs) as given below by one-way analysis of
variance (ANOVA) using observations after taking deviation from 30.
Two sets of ten students selected at random from a college were taken; one was given memory test as they were and the other set was given a memory test after two weeks’ training and the scores are given below:
| Set A | Set B |
| 10 | 12 |
| 8 | 8 |
| 7 | 8 |
| 9 | 10 |
| 8 | 8 |
| 10 | 11 |
| 9 | 9 |
| 6 | 8 |
| 7 | 9 |
| 8 | 9 |