Question
In: Statistics and Probability
The table below shows the lengths of some randomly chosen CDs in John’s very large collection....
The table below shows the lengths of some randomly chosen CDs in John’s very large collection. Give the 92% confidence interval for the population mean, assuming that the population is approximately normally distributed. Round the endpoints to two decimal places.
| 69.33 | 74.64 | 65.28 | 61.01 | 38.52 | 69.07 | 40.01 | 42.14 | 41.52 | 56.76 |
| 58.14 | 70.80 | 39.21 | 71.36 | 46.94 | 52.90 | 56.16 | 41.01 | 56.57 | 60.97 |
| 64.62 | 69.12 | 66.58 | 58.26 | 62.79 |
Confidence interval:
Solutions
Expert Solution
| x | x2 |
| 69.33 | 4806.6489 |
| 74.64 | 5571.1296 |
| 65.28 | 4261.4784 |
| 61.01 | 3722.2201 |
| 38.52 | 1483.7904 |
| 69.07 | 4770.6649 |
| 40.01 | 1600.8001 |
| 42.14 | 1775.7796 |
| 41.52 | 1723.9104 |
| 56.76 | 3221.6976 |
| 58.14 | 3380.2596 |
| 70.8 | 5012.64 |
| 39.21 | 1537.4241 |
| 71.36 | 5092.2496 |
| 46.94 | 2203.3636 |
| 52.9 | 2798.41 |
| 56.16 | 3153.9456 |
| 41.01 | 1681.8201 |
| 56.57 | 3200.1649 |
| 60.97 | 3717.3409 |
| 64.62 | 4175.7444 |
| 69.12 | 4777.5744 |
| 66.58 | 4432.8964 |
| 58.26 | 3394.2276 |
| 62.79 | 3942.5841 |
| ∑x=1433.71 | ∑x2=85438.7653 |
Mean ˉx=∑xn
=69.33+74.64+65.28+61.01+38.52+69.07+40.01+42.14+41.52+56.76+58.14+70.8+39.21+71.36+46.94+52.9+56.16+41.01+56.57+60.97+64.62+69.12+66.58+58.26+62.79/25
=1433.71/25
=57.3484
Sample Standard deviation S=√∑x2-(∑x)2nn-1
=√85438.7653-(1433.71)22524
=√85438.7653-82220.974624
=√3217.790724
=√134.0746
=11.5791
Degrees of freedom = df = n - 1 = 25 - 1 = 24
At 92% confidence level the t is ,
= 1 - 92% = 1 - 0.92= 0.08
/ 2 = 0.08 / 2 = 0.04
t
/2,df = t0.04,24 =1.828
Margin of error = E = t/2,df
* (s /
= 1.828* (11.58 /
= 4.23
Margin of error = 4.23
The 92% confidence interval estimate of the population mean is,
- E < 
<
+ E
57.35 - 4.23 <
< 57.35 + 4.23
53.12 <
< 61.58
(53.12, 61.58)
orchestra answered 1 year agoRelated Solutions
The table below shows the lengths of some randomly chosen CDs in John’s very large collection....
The table below shows the lengths of some randomly chosen CDs in
John’s very large collection. Give the 92% confidence interval for
the population mean, assuming that the population is approximately
normally distributed. Round the endpoints to two decimal
places.
69.33
74.64
65.28
61.01
38.52
69.07
40.01
42.14
41.52
56.76
58.14
70.80
39.21
71.36
46.94
52.90
56.16
41.01
56.57
60.97
64.62
69.12
66.58
58.26
62.79
Confidence interval: ( , )
John measured the total playing time of 30 randomly chosen...
John measured the total playing time of 35 randomly chosen CDs from his very large collection...
John measured the total playing time of 35 randomly chosen CDs
from his very large collection and found a mean of 79.7 minutes and
a standard deviation of 9.8 minutes. Give the 93% confidence
interval for the population mean, assuming that the population is
approximately normally distributed. Round the endpoints to two
decimal places.
The data below shows the observed pollution indexes of air samples that are randomly chosen in...
The data below shows the observed pollution indexes of air
samples that are randomly chosen in two areas of a city. The
pollution indexes of air are said to be normally distributed from
both areas. Use a 95% confidence interval to
determine if the mean pollution indexes of air are different for
the two areas.
Area A
Area B
2.92
4.69
1.84
3.44
1.88
4.86
0.95
3.69
5.35
5.81
4.26
4.95
3.81
5.55
3.18
4.47
The table below shows whether a random collection of people will respond to a survey or...
The table below shows whether a random collection of people will
respond to a survey or not, in different age groups. Test the claim
that cooperation of a subject and the age of a subject are
independent. χ2R = 15.086
Age
18-21
22-29
30-39
40-49
50-59
60 and over
responded
73
255
245
136
138
202
refused
11
20
33
16
27
49
Critical Values: z0.005 = 2.575, z0.01 = 2.325, z0.025 =
1.96, z0.05 = 1.645
When d.f.=6: t0.005...
MODEL ONE: Lengths of Mango Fruit The table shows distribution of lengths of a sample of...
MODEL ONE: Lengths of Mango Fruit
The table shows distribution of lengths of a sample of
mangos.
LENGTHS (cm)
FREQUENCY
12.5 – 16.4
3
16.5 – 20.4
6
20.5 – 24.4
7
24.5 – 28.4
9
28.5 – 32.4
4
32.5 – 36.4
2
In which range is the median mango length?
Explain.
Calculate the mean length of the mangos in the sample. Round to
the nearest tenth of a centimeter.
Suppose that the two longest mangos were measured incorrectly,...
The table shows the daily sales (in $1000) of shopping mall for some randomly selected days...
The table shows the daily sales (in $1000) of shopping
mall for some randomly selected
days
Sales 1.1-1.5 1.6-2.0 2.1-2.5 2.6-3.0 3.1-3.5 3.6-4.0 4.1-4.5
Days 18 27 31 40 56 55 23
Use it to answer questions 13 and 14.
13. What is the approximate value for the modal daily sales?
A. $3,129.41 B. $2,629.41 C. $3,079.41 D. $3,123.53
14. The approximate median daily sales is …
A. $3,130.36 B. $2,680.36 C. $3,180.36 D. $2,664
The Contingency Table below shows the results of 400 randomly selected Pizza Hut customers in Bellingham,...
The Contingency Table below shows the results of 400 randomly
selected Pizza Hut customers in Bellingham, Washington in order to
determine if there was significant relationship between their
attitude toward anchovies and their political philosophy.
Attitude Toward
Anchovies
Political
Philosophy
Love
Anchovies
Neutral
Hate Anchovies
Anarchist
15
20
50
Radical
0
0
10
Liberal
2
20
68
Moderate
50
30
10
Conservative
73
50
2
a………If there is no relationship between one’s political
philosophy and one’s attitude toward...
Problem ONE: The Contingency Table below shows the results of 400 randomly selected University of Toledo...
Problem ONE:
The Contingency Table below shows the results of 400 randomly
selected University of Toledo students to determine if there was
any significant relationship between their attitude toward Donald
Trump and their college major..
Attitude Toward President Trump
Major
Field
Approve
Neutral
Dislike
Nursing/Health
30
20
50
Liberal Arts/Social
Science
2
20
68
Engineering
50
40
10
Business
58
50
2
a………If there is no relationship between one’s major and one’s
attitude toward Trump, how many engineers would...
The table below shows the murder rate per 100,000 residents for a large American city over...
The table below shows the murder rate per 100,000 residents for
a large American city over a twelve-year period.
Year
2000
2001
2002
2003
2004
2005
2006
2007
2008
2009
2010
2011
Rate
8.8
7.1
7.2
6.8
6.4
7.1
5.8
6.1
5.4
6.2
6.1
4.9
Enter the coefficients of the regression line for
this data, rounding each to two decimal places:
Slope:
Intercept:
Use your regression line (with rounded
coefficients) to estimate this city’s murder rate in 2012. Round
your...
The table below shows performance data for 100 flights between cities A - G for some...
The table below shows performance data for 100 flights between
cities A - G for some airline, including: date, flight #, origin,
destination, # passengers flown (load), and tardiness (late, in
hours).
write a VBA code (N=10000) to simulate the following:
1. (I7): number of flights which were late for at least 0.75
hrs.
2. (I10) average load of flights originated from C with load
exceeding 250.
3. (I13): smallest tardiness of flights from B to E between
9/1/18 and...
ADVERTISEMENT
ADVERTISEMENT
Latest Questions
- Discuss the significance of a proposal What elements do you think are needed for the proposal...
- 1) Given the following equations: QD = 5,000 + 0.5 I + 0.2 A -...
- How has the Supreme Court's Citizens United decision changed campaigns in America? (long answer is appreciated...
- You are a Derivatives Trader at a major Broker-Dealer. At the end of the week you...
- What are the two reasons that limit the ability of correlational studies to provide information on...
- Suppose that 20 monthly payments of $100 each are followed by 30 monthly payments of $200...
- D. Explain what it means for recommendations to be specific and actionable. E. Discuss how charts...
ADVERTISEMENT