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Update hw2.rmd, change the serial number
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The serial numbers were just terrible! All of the are always "1", where is "2", however?
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jimmysun committed Jul 11, 2014
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13 changes: 6 additions & 7 deletions 06_StatisticalInference/homework/hw2.Rmd
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Expand Up @@ -124,9 +124,9 @@ round(qnorm(.05, mean = 100, sd = 10, lower.tail = FALSE), 3)

--- &multitext
Suppose that the number of web hits to a particular site are approximately normally
distributed with a mean of 100 hits per day and a standard deviation of 10 hits per day. Imagine taking a random sample of 50 days.
distributed with a mean of 100 hits per day and a standard deviation of 10 hits per day.

1. What number of web hits would
2. Imagine taking a random sample of 50 days. What number of web hits would
be the point so that only 5% of averages of 50 days of web traffic have more hits?
Express your answer to 3 decimal places.

Expand All @@ -148,7 +148,7 @@ You don't believe that your friend can discern good wine from cheap. Assuming
that you're right, in a blind test where you randomize 6 paired varieties (Merlot,
Chianti, ...) of cheap and expensive wines

1. what is the change that she gets 5 or 6 right expressed as a percentage
what is the change that she gets 5 or 6 right expressed as a percentage
to one decimal place?

*** .hint
Expand All @@ -168,7 +168,7 @@ Consider a uniform distribution. If we were to sample 100 draws from a
a uniform distribution (which has mean 0.5, and variance 1/12) and take their
mean, $\bar X$

1. what is the approximate probability of getting as large as 0.51 or larger expressed to 3 decimal places?
what is the approximate probability of getting as large as 0.51 or larger expressed to 3 decimal places?

*** .hint
Use the central limit theorem that says $\bar X \sim N(\mu, \sigma^2/n)$
Expand Down Expand Up @@ -203,7 +203,7 @@ individual draws were taken from.

If you roll ten standard dice, take their average, then repeat this process over and over and construct a histogram,

1. what would be its variance expressed to 3 decimal places?
2. what would be its variance expressed to 3 decimal places?

*** .hint
$$Var(\bar X) = \sigma^2 /n$$
Expand All @@ -219,8 +219,7 @@ mean((1 : 6 - 3.5)^2)

--- &multitext
The number of web hits to a site is Poisson with mean 16.5 per day.

1. What is the probability of getting 20 or fewer in 2 days expressed
What is the probability of getting 20 or fewer in 2 days expressed
as a percentage to one decimal place?

*** .hint
Expand Down

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