| 261 |
Using coded years X = −2, −1, 0, 1, 2 and values Y = 10, 12, 15, 17, 21, the least-squares trend line Y = a +… |
Mathematics/Applied Mathematics
Secular trend and its measurement |
Hard |
| 262 |
In statistics, the entire group of individuals or items about which information is required is called the: |
Mathematics/Applied Mathematics
Population and sample |
Easy |
| 263 |
A sampling method in which every member of the population has an equal chance of being selected is: |
Mathematics/Applied Mathematics
Population and sample |
Easy |
| 264 |
A systematic sample of 50 is to be drawn from a list of 500 students. If the random starting number is 7, the… |
Mathematics/Applied Mathematics
Population and sample |
Medium |
| 265 |
To study the reading habits of a city's residents, a researcher interviews only people found inside the publi… |
Mathematics/Applied Mathematics
Population and sample |
Medium |
| 266 |
How many different simple random samples of size 3 can be drawn without replacement from a population of 8 un… |
Mathematics/Applied Mathematics
Population and sample |
Hard |
| 267 |
The probability distribution of a statistic, obtained from all possible samples of the same size, is called i… |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Easy |
| 268 |
A population has standard deviation 20. The standard error of the mean for samples of size 100 is: |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Medium |
| 269 |
According to the central limit theorem, for a large sample size the sampling distribution of the sample mean … |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Medium |
| 270 |
In a hypothesis test, the 5% level of significance means: |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Easy |
| 271 |
A researcher wants to reduce the standard error of a sample mean to half its present value. The sample size m… |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Hard |
| 272 |
The one-sample t-test is appropriate for testing a population mean when: |
Mathematics/Applied Mathematics
t-test |
Easy |
| 273 |
In a one-sample t-test with a sample of size 16, the number of degrees of freedom is: |
Mathematics/Applied Mathematics
t-test |
Easy |
| 274 |
A sample of 16 items has mean 52 and standard deviation s = 4. To test H₀: μ = 50, the value of the t statist… |
Mathematics/Applied Mathematics
t-test |
Medium |
| 275 |
In a two-tailed t-test at the 5% level, the calculated value is |t| = 2.5 and the table value for the relevan… |
Mathematics/Applied Mathematics
t-test |
Medium |
| 276 |
A sample of 10 has mean 48 and standard deviation s = 3 (divisor n − 1). Testing H₀: μ = 50 against H₁: μ ≠ 5… |
Mathematics/Applied Mathematics
t-test |
Hard |
| 277 |
The present value of a perpetuity paying ₹5,000 at the end of every year, at 8% per annum, is: |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Easy |
| 278 |
A sinking fund is created mainly to: |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Easy |
| 279 |
A perpetuity due pays ₹5,000 every year, with the first payment made today. At 8% per annum, its present valu… |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Medium |
| 280 |
An endowment of ₹1,00,000 pays a scholarship of ₹6,000 at the end of every year for ever. The interest rate i… |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Medium |