Question
In: Statistics and Probability
An important feature of tablets is battery life, the number of hours before the battery needs...
An important feature of tablets is battery life, the number of
hours before the battery needs to be recharged. The file Tablets
contains the battery life of 12 WiFi-only and 7 3G/4G/WiFi 9-
through 12-inch tablets. (Data extracted from “Ratings and rec-
ommendations: Tablets,” Consumer Reports, August 2013, p.
24.)
a. Assuming that the population variances from both types
of
tablets are equal, is there evidence of a difference in the
mean
battery life between the two types of tablets? 1Use a =
0.05.2
b. Determine the p-value in (a) and interpret its
meaning.
c. Assuming that the population variances from both types of
tab-
lets are equal, construct and interpret a 95% confidence
interval estimate of the difference between the population mean
battery life of the two types of tablets.
An important feature of tablets is battery life, the number of hours before the battery needs to be recharged. The following table shows the battery life of 12 WiFi-only and 7 3G/4G/WiFi 9-through 12-inch tablets:
|
WiFi Only |
3G/4G+WiFi |
|
12.40 |
11.70 |
|
10.60 |
11.40 |
|
11.50 |
10.70 |
|
12.60 |
11.50 |
|
8.00 |
11.30 |
|
10.90 |
11.60 |
|
11.60 |
8.90 |
|
10.00 |
|
|
10.90 |
|
|
8.90 |
|
|
9.50 |
|
|
10.50 |
|
a.
Assuming
that the population variances from both types of tablets are equal,
is there evidence of a difference in the means battery life between
the two types of tablets?
(Use α= 0.05).
b.
Determine
the p-value and interpret its meaning.
Assuming that the population variances from both types of tablets are equal, construct and interpret a 95% confidence interval estimate of the difference between the population mean battery life of the two types of
Solutions
orchestra answered 1 year agoRelated Solutions
An important feature of tablets is battery life, the number of hours before the battery needs...
An important feature of tablets is battery life, the number of
hours before the battery needs to be recharged. The data shown in
the table below contain the battery life of 10 WiFi-only and 10
3G/4G/WiFi 9- through 12-inch tablets. Complete parts (a)
through (c).
WiFi-only
3G/4G/WiFi
4444
2525
3030
3535
4242
7070
5050
5454
5050
5555
5050
2121
3535
5959
5555
2525
3535
3232
4141
6666
a. Assuming that the population variances from both types of
tablets are equal,...
An important feature of tablets is battery life, the number of hours before the battery needs...
An important feature of tablets is battery life, the number of
hours before the battery needs to be recharged. The following table
shows the battery life of 12 WiFi-only and 7 3G/4G/WiFi 9-through
12-inch tablets:
WiFi Only
3G/4G+WiFi
12.40
11.70
10.60
11.40
11.50
10.70
12.60
11.50
8.00
11.30
10.90
11.60
11.60
8.90
10.00
10.90
8.90
9.50
10.50
Assuming that the population variances from both types of
tablets are equal, is there evidence of a difference in the means
battery life...
An important feature of tablets is battery life, the number of hours before the battery needs...
An important feature of tablets is battery life, the number of
hours before the battery needs to be recharged. The data shown in
the table below contain the battery life of 10 WiFi-only and 10
3G/4G/WiFi 9- through 12-inch tablets.
WiFi-only
3G/4G/WiFi
48
26
35
40
44
65
52
51
60
52
48
23
38
51
56
25
36
31
50
66
a. Assuming that the population variances from both types of
tablets are equal, is there evidence of a...
An important feature of modern tablets is battery life. Here, we wish to compare how tow...
An important feature of modern tablets is battery life. Here, we
wish to compare how tow popular tablets brands perform in this
area. You collect a sample of 16 Ipad tablets and 13
Surface tablets. The ipad sample had a mean of 600 minutes
of battery life, with a standard deviation of 6.88 minutes.
Meanwhile, the Surface sample had a mean of 625 minutes and a
standard deviation of 6.03 minutes. We wish to know if the Ipad
tablets have...
An important feature of digital cameras is battery life, the number of shots that can be...
An important feature of digital cameras is battery life, the
number of shots that can be taken before the battery needs to be
recharged. The accompanying data contains battery life information
for 29 subcompact cameras and 16 compact cameras. Complete parts
(a) through (d) below.
Battery life data for the two types of digital camera:
Subcompact Compact
302 394
310 445
289 447
279 260
246 345
197 239
326 332
242 221
276 233
236 256
197 281
223...
The number of hours a battery lasts before failing follows an exponential distribution with a mean...
The number of hours a battery lasts before failing follows an
exponential distribution with a mean of μ = 24.5 hours and a
standard deviation of 10 hours. Eric buys a pack of 64 batteries.
Find the probability that the average number of hours a battery
lasts is 21 hours or less.
a. 0.0026
b. 0.9974
c. 0.3632
d. -2.80
Solve the problem and show all your work below. Draw appropriate
pictures!
Let ? denote the life length, in hours, of a battery. Suppose ? is known to...
Let ? denote the life length, in hours, of a battery. Suppose ?
is known to be normally distributed with standard deviation ? = 2.2
hours. A random sample of 16 batteries has an average life of ?̅ =
41.1 hours. We are interested in determining whether there is
evidence to support the claim that mean battery life exceeds 40
hours. Using a level of significance of 0.05, answer the following
questions.
a.) State the null and alternative hypothesis for...
True or False: The life in hours of a battery is known to be approximately normally...
True or False: The life in hours of a battery
is known to be approximately normally distributed, with standard
deviation of 15 hours. A random sample of 16 batteries has a mean
life of 110 hours. Based on sampling results, there is sufficient
evidence on this sample to support the claim that battery life
exceeds 100 hours at α=0.05.
One of the important features of a camera is the battery life as measured by the...
One of the important features of a camera is the battery life as
measured by the number of shots taken until the battery needs to be
recharged. The data shown in the table below contain the battery
life of 10 subcompact and 10 compact cameras. Complete parts (a)
through (c).
Subcompact
49
50
25
28
31
33
39
57
47
57
Compact
70
30
60
35
55
39
59
46
52
68
. Assuming that the population variances from both...
1)The life in hours of a battery is known to be approximately normally distributed, with standard...
1)The life in hours of a battery is known to be approximately
normally distributed, with standard deviation 1.25 hours. A random
sample of 10 batteries has a mean life of 40.5 hours. A. Is there
evidence to support the claim that battery life exceeds 40 hours ?
Use α= 0.05.
B. What is the P-value for the test in part A?
C. What is the β-error for the test in part A if the true mean
life is 42 hours?...
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