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1)Research questions and hypotheses are different

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1)Research questions and hypotheses are different. Provide an example of each and identify the differences between the two.A) A researcher wishes to estimate the proportion of adults who have? high-speed Internet access. What size sample should be obtained if she wishes the estimate to be within 0.04 with 90?% confidence if
?(a) she uses a previous estimate of 0.56??
?(b) she does not use any prior? estimates?
I need to know the answer to a and b

2) You have Rs.10,000 and wish to receive an annual annuity for 10 years.

The annual interest rate is 8%.How much will you receive each year?

3)If the population distribution of a variable is approximately normal,

then according to the empirical rule, which of the following statements are correct?
A. Roughly 68% of the values are within one standard deviation of the mean.
B. Roughly 95% of the values are within two standard deviations of the mean.
C. Roughly 99.7% of the values are within three standard deviations of the mean.
D. All of the above statements are correct.

4) A continuous random variable X is uniformly distributed on the interval [A,B], then the probability density function between A and B has a value of
A. A-B
B. (A+B)/2
C. B-A
D. 1/(B-A)

5) Why is the assumption of a normal distribution of data essential for

valid statistical analysis and hypothesis testing? What do we do when that assumption cannot be proved?

6) A man buys baskets of durians' at $150 per basket. He sells each basket for $270 but the probability that a basket of durians will be unfit for sale is LL 12 and he will lose $150. Find his average profit per basket.

7)  A man buys baskets of durians at $150 per basket. He sells each basket for $270 but the probability that a basket of durians will be unfit for sale is and he will lose $150. Find his average profit per basket. 1