Fill in the blank.The yearly rate of return on the Standard & Poor's 500 (an index of 500 large-cap corporations) is approximately normal. From January 1, 1960 through December 31, 2009, the S&P 500 had a mean yearly return of10.98 percent, with a standard deviation of about 17.46 percent. Take this normal distribution to be the distribution of yearly returns over a long period.The interval in which the middle 95 percent of all yearly returns lie is 10.98 ±(Give your answer to two decimal places.)

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Asked Dec 4, 2019
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Fill in the blank.
The yearly rate of return on the Standard & Poor's 500 (an index of 500 large-cap corporations) is approximately normal. From January 1, 1960 through December 31, 2009, the S&P 500 had a mean yearly return of
10.98 percent, with a standard deviation of about 17.46 percent. Take this normal distribution to be the distribution of yearly returns over a long period.
The interval in which the middle 95 percent of all yearly returns lie is 10.98 ±
(Give your answer to two decimal places.)
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Fill in the blank. The yearly rate of return on the Standard & Poor's 500 (an index of 500 large-cap corporations) is approximately normal. From January 1, 1960 through December 31, 2009, the S&P 500 had a mean yearly return of 10.98 percent, with a standard deviation of about 17.46 percent. Take this normal distribution to be the distribution of yearly returns over a long period. The interval in which the middle 95 percent of all yearly returns lie is 10.98 ± (Give your answer to two decimal places.)

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Step 1

The provided information are:

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Sample mean (x ) =10.98 Sample size(n) = 50 Population standard deviation(o) = 17.46

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Step 2

The critical value of z at 95% confidence level is 1.96.

The interval in which ...

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17.46 10.98 ±1.96x V50 10.98±4.84

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