Question

The clearness index was determined for the skies over Baghdad for each of the 365 days during a particular year. The following accompanying table summarizes the resulting data.

Clearness Index |
Number of Days (frequency) |

0.15 to <0.25 | 9 |

0.25 to <0.35 | 19 |

0.35 to <0.45 | 28 |

0.45 to <0.50 | 24 |

0.50 to <0.55 | 39 |

0.55 to <0.60 | 52 |

0.60 to <0.65 | 96 |

0.65 to <0.70 | 87 |

0.70 to <0.75 | 11 |

(a) Determine the relative frequencies and fill in the following table. (Round your answer to five decimal places if needed.)

Class Intervals |
Frequency |
Rel. Frequency |

0.15 to <0.25 | 9 | |

0.25 to <0.35 | 19 | |

0.35 to <0.45 | 28 | |

0.45 to <0.50 | 24 | |

0.50 to <0.55 | 39 | |

0.55 to <0.60 | 52 | |

0.60 to <0.65 | 96 | |

0.65 to <0.70 | 87 | |

0.70 to <0.75 | 11 |

(b) Draw the histogram. (Be careful here-the intervals do not all
have the same width. Do this on paper. Your instructor may ask you
to turn in this graph.)

(c) Cloudy days are those with a clearness index smaller than 0.35.
What proportion *p* of the days was cloudy? (Round your
answer to two decimal places if needed.)

*p* =

(d) Clear days are those for which the index is at least 0.65. What
proportion *p* of the days was clear? (Round your answer to
two decimal places if needed.)

*p* =

2)

The paper "Lessons from Pacemaker Implantations" gave the results of a study that followed 89 heart patients who had received electronic pacemakers. The time (in months) to the first electrical malfunction of the pacemaker was summarized in the table below.

20 | 14 | 8 | 25 | 22 | 26 | 29 | 8 | 17 | 28 | 22 | 25 |

6 | 22 | 15 | 20 | 17 | 8 | 20 | 22 | 15 | 24 | 14 | 13 |

11 | 6 | 30 | 22 | 27 | 14 | 24 | 7 | 15 | 6 | 14 | 27 |

15 | 29 | 25 | 18 | 17 | 7 | 19 | 24 | 9 | 13 | 27 | 20 |

8 | 18 | 28 | 17 | 16 | 26 | 22 | 19 | 6 | 7 | 9 | 22 |

17 | 27 | 29 | 26 | 4 | 28 | 3 | 12 | 16 | 9 | 32 | 29 |

32 | 24 | 26 | 20 | 20 | 18 | 13 | 13 | 15 | 23 | 35 | 35 |

12 | 35 | 28 | 22 | 33 |

(a) Fill in the following table. (Round your answer to four decimal places if needed.)

Classes |
Frequency |
Relative Frequency |
Cumulative Relative Frequency |

0 - <6 | |||

6 - <12 | |||

12 - <18 | |||

18 - <24 | |||

24 - <30 | |||

30 - <36 |

(b) Use the cumulative relative frequencies to give approximate
answers to the following questions. (Round your answer to four
decimal places if needed.)

i. What proportion of those who participated in the study had
pacemakers that did not malfunction within the first year?

*p* =

ii. If the pacemaker must be replaced as soon as the first
electrical malfunction occurs, approximately what proportion
required replacement between 1 and 2 years after
implantation?

*p* =

(c) Construct a cumulative relative frequency plot. Prepare an
Excel document. The file should be named with a .xls
extension.

Use it to answer the following questions. (Round your answers to
the nearest whole number if needed.)

i. What is the approximate time at which about 50% of the
pacemakers had failed?

*t* = months

ii. What is the approximate time at which only about 10% of the
pacemakers initially implanted were still functioning?

*t* = months

Answer #1

The paper "Lessons from Pacemaker Implantations" gave the
results of a study that followed 89 heart patients who had received
electronic pacemakers. The time (in months) to the first electrical
malfunction of the pacemaker was summarized in the table below.
20
14
8
25
22
26
29
8
17
28
22
25
6
22
15
20
17
8
20
22
15
24
14
13
11
6
30
22
27
14
24
7
15
6
14
27
15
29
25
18...

Is there a difference in the yields of different types of
investments? The accompanying data provide yields for a one-year
certificate of deposit (CD) and a five-year CD for 25 banks.
Complete parts a through c below.
Bank One-Year CD Five-Year CD
1 0.45 4.90
2 0.75 4.95
3 0.85 4.90
4 0.25 3.25
5 0.35 4.05
6 0.20 4.00
7 0.50 3.80
8 2.05 4.40
9 0.65 4.70
10 0.75 4.00
11 0.40 4.50
12 0.55 3.50
13 0.25 ...

Several years ago, a group of Honda Dealerships determined that
the average amount of days automobiles stay on dealers' lots was
equal to 22.1 days. They now believe that the mean time has changed
and would like to test their belief at a significance level of
0.05. Results of a sample of 50 cars on various lots can be found
in the file Honda Hypothesis Test. Use this information to answer
the next several questions and ultimately decide whether or...

The following data for ages of 25 drivers how responded
to a call to raising in the Rally of Kingdom last year, complete
the following table to prepare a
- frequency distribution table
- Cumulative frequency
- Relative frequency
- Cumulative relative frequency of driver’s
ages
- Find the percent of drivers less than 28
year.
- Find the percent of driver more than 26
years.
- Find the percent of drivers in between 22 to 30
years.
If you...

A single spring with a 0.75 kg mass on it is stretched out and
then released. Then the velocity of the mass is measured as the
spring passes through its equilibrium position. This experiment is
repeated 18 times; pulling the spring to a different distance each
time. The amplitudes and speeds are listed below. Calculate the
average spring constant.
Amplitude (m.)
Speed at Equilibrium (m/s)
0.05
0.13
0.10
0.26
0.15
0.38
0.20
0.52
0.25
0.63
0.30
0.76
0.35
0.91
0.40...

Person
number
X
Value
Y
Value
Person number
X
Value
Y
Value
Person number
X
Value
Y
Value
1
24
30
11
39
42
21
21
27
2
42
53
12
60
65
22
33
29
3
20
27
13
34
40
23
25
27
4
31
30
14
24
26
24
22
25
5
22
24
15
51
57
25
28
33
6
46
47
16
80
83
26
34
40
7
52
60
17
28
27
27
53...

A study was conducted to see if students’ writing skills
continue to improve as the academic year progresses. English 101
students were asked to write essays throughout the year in
September, December, March and June. The scores were compared to
see if there is any improvement in this one-year course. Was there
a significant improvement?
The appropriate test for this problem is:
one-way ANOVA
repeated measurements
Student
September
December
March
June
1
17
23
21
24
2
25
21
21...

The following data are believed to have come from a normal
distribution. Use the goodness of fit test and = .05 to
test this claim. Use Table 12.4.
18
23
21
24
18
22
18
22
19
13
10
20
17
20
20
20
17
14
24
23
22
43
28
27
26
29
28
33
22
28
Using six classes, calculate the value of the test statistic (to
2 decimals).______
The p value is ? _________
Conclusion? Cannot reject assumption...

Given the following frequency table of data, what is the
potential outlier?
Value
Frequency
15
1
16
0
17
3
18
4
19
6
20
10
21
3
22
2
23
1
24
0
25
0
26
0
27
0
28
0
29
0
30
1
Select the correct answer below:
30
18
23
19
17

A sample of 200 ROM computer chips was selected on each of 30
consecutive days, and the number of nonconforming chips on each day
was as follows:
10, 21, 26, 18, 38, 20, 5, 23, 11, 22, 28, 12, 14, 22, 20, 19,
16, 25, 10, 17, 14, 17, 15, 22, 29, 15, 9, 19, 16, 25
Calculate pbar =
LCL =
UCL =

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