Question

The accompanying data represent the pulse rates​ (beats per​ minute) of nine students enrolled in a statistics course. Treat the nine students as a population. Complete parts​ (a) through​ (b).

Student	Pulse
Perpectual_Bempah	78
Megan_Brooks	75
Jeff_Honeycutt	85
Clarice_Jefferson	71
Crystal_Kurtenbach	85
Janette_Lantka	73
Kevin_McCarthy	89
Tammy_Ohm	71
Kathy_Wojdya	82

​(a) Compute the population standard deviation.

sigma equalsσ=nothing

beats per minute

​(Round to one decimal place as​ needed.)

(b) Determine the sample standard deviation of the following three simple random samples of size 3

Sample 1: {Kevin, Crystal, Jeff}

Sample 2: {Janette, Perpectual, Tammy}

Sample 3: {Katht, Crystal, Perpectual}

The sample standard deviation, s, of sample 1, {Kevin, Crystal, Jeff} is beats per minute

  ​(Round to one decimal place as​ needed.)

The sample standard deviation, s, of sample 2, {Janette, Perpectual, Tammy} is beats per minute

  ​(Round to one decimal place as​ needed.)

The sample standard deviation, s, of sample 3, {Katht, Crystal, Perpectual} is beats per minute

  ​(Round to one decimal place as​ needed.)

2, Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 19. Use the empirical rule to determine the following.

​(a) What percentage of people has an IQ score between 43 and 157​?

​(b) What percentage of people has an IQ score of less than 81 or greater than 119​?

​(c) What percentage of people has an IQ score greater than 119​?

​(a) ​% ​(Type an integer or a​ decimal.)

3,

At one point the average price of regular unleaded gasoline was ​$3.65 per gallon. Assume that the standard deviation price per gallon is $0.08 per gallon and use​ Chebyshev's inequality to answer the following

.​(a) What percentage of gasoline stations had prices within 2 standard deviations of the​ mean?​

(b) What percentage of gasoline stations had prices within 2.5 standard deviations of the​ mean? What are the gasoline prices that are within 2.5 standard deviations of the​ mean?

​(c) What is the minimum percentage of gasoline stations that had prices between ​$3.33 and ​$3.97?

​(a) At least % of gasoline stations had prices within 2 standard deviations of the mean.

​(Round to two decimal places as​ needed.)

Answer 1

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