Statistics

1- Build the 90% confidence interval of, it is know that, from a random sample of 9 people, the mean length of time it take to complete the course is, 109 seconds, with a standard deviation of, 23 seconds?

2- NeliCavuto, a Fox News show host said, a recent poll is incorrect, in a recent election. He said, the poll said that, candidate A (name with held) “would receive 52% of the vote.” The election was held and candidate a lost with 48% of the vote. Thus, Cavuto concluded, “the poll was incorrect.” Cavuto did not say anything about the margin of error in the poll, which was 5%. Was Canvto’s summary misleading to his viewers? Use statistical ideas to justify your answer, one-way or other. I don’t care if you thing Fox os truth or a complete lie, in here we use statistics to support our ideas and not ideology.

3-

Rate of return%

Scenario Probability Auto stock Gold stock Portfollo Return %

Recession 1/3 -8 +20 -1.0

Normal 1/3 +5 +3 +4.5

Boom 1/3 +18 -20 +8.5

Expected return 5 1 4

Variance 112.7 268.7 15.2

Standard deviation 10.6 16.4 3.9

Portfollo return = (.75 * auto stock return) + (.25 * gold stock return)

During question 3 from where we get Standard deviation or how we get Standard deviation?

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