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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There are 1000 pages in a book out of which 100 pages are defective. What is the
probability that out of first 50 pages 10 pages will be defective?
Calculate the 5-yearly moving average for the following data of the profits of a
company (in Rs. Lakhs) during 1995 to 2010:
.
A hospital has 25 centres located at different places in a state. Each centre has been provided with 4 paramedics. In order to estimate the average number of patients handled by a paramedic on a typical day at a centre, a sample of 5 centres was selected, using without replacement simple random sampling. The data regarding the number of patients on a typical working day for each selected centre are given below:
| Centre | m | Patients seen | |||
| 1 | 4 | 1 | 2 | 6 | 3 |
| 2 | 4 | 4 | 3 | 2 | 2 |
| 3 | 4 | 5 | 3 | 2 | 1 |
| 4 | 4 | 4 | 1 | 5 | 6 |
| 5 | 4 | 2 | 3 | 4 | 7 |
If the random variable X is normally distributed with mean 80 and standard deviation
5, then find (i) P[60.5 < X < 90], and (ii) P[X _ 80 < 1].
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.
There are 40 pages in a book numbered from 1 to 40. A page is opened at random.
Find the probability that the number of that opened page is a multiple of 3 or 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