Question

Digital cameras have taken over the majority of the point-and-shoot camera market. 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. A random sample of 29 sub-compact cameras (Population 1) yielded a mean of 127 shots between recharges, with a standard deviation of 5.5 shots. A random sample of 16 compact cameras (Population 2) yielded a mean of 115 shots between recharges, with a standard deviation of 4.2 shots. Assume that the population variances are not equal.

A) Using a significance level of α = .01, if a hypothesis is conducted to determine whether the mean battery life for sub-compact cameras is greater than the mean life of compact cameras, what conclusion should be reached?

1)There mean battery life for compact cameras is greater than the mean battery life of sub-compact cameras.

2)The mean battery life for sub-compact cameras is greater than the mean battery life of compact cameras,

3)The mean battery life for sub-compact cameras is not greater than the mean battery life of compact cameras,

4)There is no difference in the mean battery life for sub-compact and compact cameras.

B) What is the appropriate null hypothesis for determining whether the mean battery life for sub-compact cameras is greater than the mean life of compact cameras?

H_{0}: μ_{1} < μ_{2}

H_{0}: μ_{1} > μ_{2}

H_{0}: μ_{1} ≥ μ_{2}

H_{0}: μ_{1} ≤ μ_{2}

H_{0}: μ_{1} = μ_{2}

H_{0}: μ_{1} ≠ μ_{2}

C) Using only the statistical table in your textbook, what is the p-value of the most appropriate hypothesis test?

p = .0446

p > .10

p is between .025 and .05

p = .0892

p < .025

p is between .05 and .10

Answer #1

The statistical software output for this problem is:

Hence,

a) Conclusion: The mean battery life for sub-compact cameras is greater than the mean battery life of compact cameras.

**Option 2** is correct.

b) Null: H_{0}: μ_{1} ≤ μ_{2};
**Option D** is correct.

c) p < .025

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
Compact
48
29
38
30
41
63
51
56
56
57
50
26
40
55
56
26
31
39
41
63
a. Assuming that the population variances from both...

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
Compact
48
29
38
30
41
63
51
56
56
57
50
26
40
55
56
26
31
39
41
63
a. Assuming that the population variances from both...

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
Compact
41
23
36
33
49
60
56
56
59
51
46
26
35
52
60
20
33
39
50
64
a. Assuming that the population variances from both...

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
Compact
50
30
35
35
46
61
58
58
57
57
41
24
37
53
54
20
34
37
45
62
a. Assuming that the population variances from both...

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
2929
subcompact cameras and
1616
compact cameras. Complete parts (a) through (d) below.
DATA: Subcompact
Compact
298
395
314
451
287
452
278
263
250
352
197
242
335
332
240
219
27279
231
238
259
197
282
217
398
277
507
209
198
260
149
219
131...

Where are the deer? Random samples of square-kilometer plots
were taken in different ecological locations of a national park.
The deer counts per square kilometer were recorded and are shown in
the following table.
Mountain Brush
Sagebrush Grassland
Pinon Juniper
29
24
10
27
59
3
25
16
2
27
24
6
Shall we reject or accept the claim that there is no difference
in the mean number of deer per square kilometer in these different
ecological locations? Use a...

Where are the deer? Random samples of square-kilometer plots
were taken in different ecological locations of a national park.
The deer counts per square kilometer were recorded and are shown in
the following table.
Mountain Brush
Sagebrush Grassland
Pinon Juniper
34
15
1
31
58
7
24
15
10
25
26
13
Shall we reject or accept the claim that there is no difference
in the mean number of deer per square kilometer in these different
ecological locations? Use a...

Is the average time to complete an obstacle course longer when a
patch is placed over the right eye than when a patch is placed over
the left eye? Thirteen randomly selected volunteers first completed
an obstacle course with a patch over one eye and then completed an
equally difficult obstacle course with a patch over the other eye.
The completion times are shown below. "Left" means the patch was
placed over the left eye and "Right" means the patch...

How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I (27.6;23.1;14.7;8.9;11.9)
II (13.1;9.9;11.7;8.1;6.9;19.5)
III ( 22.4;20.2;7.4;12.9;7.7)
IV (17.6;16.8;14.4;15.7;10.7;9.4)
Shall we reject or not reject the claim that there is no
difference in population mean annual profits per employee in each
of...

How productive are U.S. workers? One way to answer this question
is to study annual profits per employee. A random sample of
companies in computers (I), aerospace (II), heavy equipment (III),
and broadcasting (IV) gave the following data regarding annual
profits per employee (units in thousands of dollars).
I
II
III
IV
27.5
13.8
22.1
17.6
23.1
9.5
20.3
16.8
14.3
11.3
7.7
14.3
8.9
8.3
12.5
15.1
11.1
6.1
7.9
10.6
19.5
9.8
Shall we reject or not reject...

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