| 4521 |
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 |
| 4522 |
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 |
| 4523 |
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 |
| 4524 |
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 |
| 4525 |
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 |
| 4526 |
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 |
| 4527 |
In a hypothesis test, the 5% level of significance means: |
Mathematics/Applied Mathematics
Parameter, statistic and inference |
Easy |
| 4528 |
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 |
| 4529 |
The one-sample t-test is appropriate for testing a population mean when: |
Mathematics/Applied Mathematics
t-test |
Easy |
| 4530 |
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 |
| 4531 |
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 |
| 4532 |
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 |
| 4533 |
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 |
| 4534 |
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 |
| 4535 |
A sinking fund is created mainly to: |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Easy |
| 4536 |
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 |
| 4537 |
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 |
| 4538 |
A firm wants ₹1,00,000 at the end of 5 years. Interest is 10% compounded annually. Approximately how much mus… |
Mathematics/Applied Mathematics
Perpetuity and sinking funds |
Hard |
| 4539 |
A loan carries interest at 12% per annum compounded monthly. The value of i to be used in the EMI formula is: |
Mathematics/Applied Mathematics
EMI |
Easy |
| 4540 |
For a loan repaid by EMIs on the reducing-balance method, which statement about the instalments over time is … |
Mathematics/Applied Mathematics
EMI |
Medium |