The option d) is true for the following distribution.
Given options are
a. Its mean and standard deviation are $60,000 and $20,000, respectively, but only if the population distribution is normal.
b. Its mean and standard deviation are $60,000 and $4,000, respectively, but only if the population distribution is normal.
c. Its mean and standard deviation are $60,000 and $20,000, respectively, regardless of whether the population distribution is normal or not.
d. Its mean and standard deviation are $60,000 and $4,000, respectively, regardless of whether the population distribution is normal or not.
Normal distributions are symmetric and bell-shaped and have same mean, median, and mode.Most members of a normally distributed population have values close to the mean—in a normal population, 96% of the members are within 2 standard deviations of the mean (much better than Chebyshev's 75%).
In any normally distributed population, the proportion of members between the mean and one standard deviation below the mean is the same.
here, the standard deviation for 25 samples cannot be $20000. It should be less than that.
Thus, regardless of whether the population distribution is normal or not, the mean and standard deviation are $60,000 and $4,000, respectively.
To learn more about normal distribution refer here
https://brainly.com/question/29509087
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