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Mendenhall et al-Intro Prob & Stats Canadian 3/e (Homework)

James Finch

Statistics, section 2, Fall 2019

Instructor: Dr. Friendly

Current Score : 21 / 36

Due : Sunday, January 27, 2030 23:30 EST

Last Saved : n/a Saving...  ()

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Total
21/36 (58.3%)

  • Instructions

    Here are some textbook questions from Introduction to Probability and Statistics, Canadian 3/e by William Mendenhall, Robert J. Beaver, Barbara M. Beaver and Ejaz Ahmed published by Nelson Education, Ltd.. Click here for a list of all of the questions coded in WebAssign. This demo assignment allows many submissions and allows you to try another version of the same question for practice wherever the problem has randomized values.

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1. –/5 points MendStatC3 1.E.020. My Notes
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A discrete variable can take on only the values 0, 1, or 2. A set of 20 measurements on this variable is shown here.
2     2     2     2     1
1 1 0 1 1
1     1     1     1     2
0 0 2 0 0
(a) Construct a relative frequency histogram for the data.


(b) What proportion of the measurements are greater than 1?


(c) What proportion of the measurements are less than 2?


(d) If a measurement is selected at random from the 20 measurements shown, what is the probability that it is a 2?


(e) Describe the shape of the distribution. Do you see any outliers?
    

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2. –/4 points MendStatC3 2.E.002. My Notes
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You are given
n = 8
 measurements: 6, 5, 8, 9, 7, 7, 6, 8.
(a) Find
x.

x =


(b) Find m.
m =


(c) Based on the results of parts (a) and (b), are the measurements symmetric or skewed?
    

Draw a dotplot to confirm your answer.

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3. –/3 points MendStatC3 4.E.009. My Notes
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1 2 3
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A survey classified a large number of adults according to whether they were judged to need eyeglasses to correct their reading vision and whether they used eyeglasses when reading. The proportions falling into the four categories are shown in the table. (Note that a small proportion, 0.02, of adults used eyeglasses when in fact they were judged not to need them.)
Used Eyeglasses
for Reading
Judged to Need
Eyeglasses 		Yes No
Yes 0.43 0.14
No 0.02 0.41
If a single adult is selected from this large group, find the probability of each event. (Enter your answers to two decimal places.)
(a) The adult is judged to need eyeglasses.


(b) The adult needs eyeglasses for reading but does not use them.


(c) The adult uses eyeglasses for reading whether he or she needs them or not.

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4. –/3 points MendStatC3 5.E.049. My Notes
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–/3
 
Evaluate these probabilities. (Round your answers to four decimal places.)
(a)    
C
3
1
C
2
1
C
5
2
 =

(b)    
C
4
2
C
5
1
C
9
3
 =

(c)    
C
6
3
C
4
0
C
10
3
 =

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5. –/4 points MendStatC3 6.E.001. My Notes
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–/4
 
Consider a standard normal random variable with μ = 0 and standard deviation σ = 1. Use the table of Areas under the Normal Curve to find the following probabilities. (Enter your answers to four decimal places.)
(a)    
P(z < 1) =


(b)    
P(z > 1.11) =


(c)    
P(−2.39 < z < 2.39) =


(d)    
P(z < 1.84) =

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6. –/13 points MendStatC3 11.E.029. My Notes
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A randomized block design was used to compare the means of three treatments within six blocks.

Suppose that the analysis of variance calculations are SST = 12.2, SSB = 16.7, and Total SS = 42.5. Complete the ANOVA table, showing all sums of squares, mean squares, and pertinent F-values. (Round your answers to two decimal places.)
Source df SS MS F
Treatments    
Blocks    
Error    
Total

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