Explain a non symmmetrical distribution


Complete the mcq:

Q1. An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is know to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What sample size would the economist need to use if he wants a 95% confidence interval no wider than plus or minus $100?

1486 individuals

385 individuals

126 individuals

85 individuals

Q2. An economist is interested in studying the incomes of consumers in a particular region. The population standard deviation is know to be $1,000. A random sample of 50 individuals resulted in an average income of $15,000. What sample size would the economist need to use if he wants a 95% confidence interval no wider than plus or minus $100?

1486 individuals

385 individuals

126 individuals

85 individuals

Q3. In a non symmmetrical distribution:

the range equals the interquartile range

the interquartile range equals the mean

the median does not equal the mean

the variance equals the standard deviation

Q4.The Empirical Rule for the bell-shaped curve states that the percentage of data points falling within three standard deviations away from the mean is 99%

True

False

Q5.If we randomly draw a ball from a bag with a finite number of balls in it, then put the ball back into the bag and randomly draw another ball from the bag, this is an example of sampling with replacement

True

False

Q6. The area under the Normal probability curve is 1.

True

False

Q7. The Standard Normal distribution has a mean of 1 and a standard deviation of 1.

True

False

Q8. Distribution 1 is a skewed distribution and Distribution 2 is a symmetric distribution (not Normal distribution). Similar sample sizes will be required for the sample mean of random samples from the two distributions to have an approximate Normal distribution.

True

False

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Basic Statistics: Explain a non symmmetrical distribution
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