20 May The Probabilility Of Drawing A Random Sample
For a population comprising 30% males, what is the probabilility of drawing a random sample of 313 and getting exactly 94 males? Hint: use the binomial distribution.
| 4.9% |
| 30.0% |
| 46.7% |
| 50.0% |
| 53.3% |
If the variable “Age” were uniformly distributed over the range measured in the sample, the mean would be:
| 26 |
| 37 |
| 38.5 |
| 45 |
| 71 |
Assume that Pay follows a normal distribution with the parameters measured by the sample. Using this information, what proportion of the population earns more than $45000?
| 20.9% |
| 22.7% |
| 77.3% |
| 78.1% |
| 87.6% |
Assume that Pay follows a normal distribution with the parameters measured by the sample. Using this information, what proportion of the population earns between $45000 and $55000?
| 20.9% |
| 48.6% |
| 52.4% |
| 73.3% |
| Cannot be calculated |
The lower bound of the 95% confidence interval for the mean of the variable “Pay” is:
| $49632 |
| $49878 |
| $50004 |
| $51307 |
| $51432 |
The upper limit of the 90% confidence interval for the proportion of males in the sample is:
| 35.1% |
| 34.3% |
| 25.8% |
| 25.0% |
| 23.4% |
In order test whether the mean Tenure is more than 5 years, the hypotheses should be set up as follows:
| H0: µ≥5 and HA: µ≤5 |
| H0: µ≠5 and HA: µ |
| H0: µ and HA: µ≠5 |
| H0: µ≥5 and HA: µ<5 |
| H0: µ≤5 and HA: µ>5 |
For the equivalent group of employees at Ellion, the mean gross annual remuneration is $51500 with a standard deviation of $7000. At a 1% significance level, testing the hypothesis that the results from the BizProsammmple are the same results in the following decision:
| Reject H0 |
| Reject HA |
| Accept H0 |
| Do not reject H0 |
| Do not reject HA |
When testing the hypothess that the proportion of males in the sample is 35% at a 1% significance level, the decision is:
| Accept the null hypothesis |
| Reject the null hypothesis |
| Do not reject the null hypothesis |
| Do not reject the alternative hypothesis |
| Reject the alternative hypothesis |
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