Question

Question 16 3 pts Consider three data series, each a random sample of seven observations (n = 7): Series 1: {1, 1, 1, 3, 5, 5, 5} Series 2: {1, 1, 3, 3, 3, 5, 5} Series 3: {1, 3, 3, 3, 3, 3, 5} Series 3 is: o leptokurtic heterokurtic o platykurtic o mesokurtic Question 17 3 pts Suppose that daily high temperatures in a city are normally distributed with a mean of 68 degrees and a standard deviation of 18 degrees. Approximately how many days a year would you expect the daily high temperature to reach 114 degrees or higher (round to the nearest day) 4 days 3 days 1 day 2 days

Answer 1

Question 16) The graph of series 3 would be like that of the leptokurtic type of kurtosis and the value of kurtosis is also greater than zero. So, We can say that Series 3 is leptokurtic.

So, option 1 is the correct answer.

Question 17) Let X be the random variable denoting the daily high temperature.

So, X ~ N(68, 18²)

So, the probability that temperature would be atleast 114 degrees =

So, P(X > 114)

= 1 - P(X < 114)

Standardising the normal distribution, we get,

= 1 - P(Z < (114-68)/18)

= 1 - P(Z < 2.556)

= 1 - 0.9947

= 0.0053

So, the number of days in a year for which the temperature is equal to greater than 114 =

= 0.0053 * 365

= 1.9345 days

= 2 days (rounded to nearest integer)

So, option 4 is the correct answer.

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