Question
In: Statistics and Probability
2. The following data represent samples that were taken on 10 separate days. Each day has...
2. The following data represent samples that were taken on 10 separate days. Each day has a varying sample size and the number of defects for the items sampled is listed. We want to see if this process is consistent and in control.
|
Day |
Sample Size |
Defects |
|
1 |
100 |
6 |
|
2 |
110 |
4 |
|
3 |
190 |
10 |
|
4 |
190 |
7 |
|
5 |
240 |
15 |
|
6 |
255 |
8 |
|
7 |
105 |
3 |
|
8 |
175 |
6 |
|
9 |
245 |
22 |
|
10 |
265 |
27 |
a. Find the UCL.
b. Find the LCL.
c. Is the process in control? Why/why not?
Please show all formulas, including steps to solve equation and round answers to four decimals
Solutions
orchestra answered 1 year agoRelated Solutions
The following data represent samples that were taken on 10 separate days. Each day has a...
The following data represent samples that were taken on 10
separate days. Each day has a varying sample size and the number of
defects for the items sampled is listed. We want to see if this
process is consistent and in control.
Day
Sample Size
Defects
1
110
6
2
112
3
3
195
8
4
185
6
5
245
10
6
250
7
7
100
5
8
170
7
9
250
20
10
270
25
a. Find the...
The following data represent samples that were taken on 10 separate days. Each day has a...
The following data represent samples that were taken on 10
separate days. Each day has a varying sample size and the number of
defects for the items sampled is listed. We want to see if this
process is consistent and in control.
Day
Sample Size
Defects
1
100
6
2
110
4
3
190
10
4
190
7
5
240
15
6
255
8
7
105
3
8
175
6
9
245
22
10
265
27
a. Find the UCL....
Twenty samples with 100 units each were taken; with the following number of defectives in each...
Twenty samples with 100 units each were taken; with the
following number of defectives in each respective sample: 11, 2, 7,
5, 6, 7, 8, 5, 3, 6, 4, 3, 5, 6, 2, 5, 0, 9, 10, and 8.
Calculate the center line, upper control limit, and lower
control limit for a 3s p-chart. (RE: As your starting
point, recall that p-charts represent percentages
of defects for samples.)
Plot the points on the chart.
Comment on whether the process is...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments. Conduct an analysis
of variance with α=0.05α=0.05 to determine whether these data are
sufficient to conclude that there are significant differences
between the treatments.
Treatment A
Treatment B
Treatment C
6
4
11
8
6
9
7
6
9
7
4
7
F-ratio =
p-value =
Conclusion:
These data do not provide evidence of a difference between the
treatments
There is a significant...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments. Conduct an analysis
of variance with α=0.05α=0.05 to determine whether these data are
sufficient to conclude that there are significant differences
between the treatments.
Treatment A
Treatment B
Treatment C
22
21
22
23
19
24
21
19
24
22
21
26
F-ratio =
p-value =
Conclusion:
There is a significant difference between treatments
These data do not provide evidence of a difference...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments. Conduct an analysis
of variance with α=0.05α=0.05 to determine whether these data are
sufficient to conclude that there are significant differences
between the treatments.
Treatment A
Treatment B
Treatment C
14
10
13
13
12
15
12
12
17
13
10
15
F-ratio =
p-value =
Conclusion:
These data do not provide evidence of a difference between the
treatments
There is a significant...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments. Conduct an analysis
of variance with α=0.05 to determine whether these data are
sufficient to conclude that there are significant differences
between the treatments.
Treatment A
Treatment B
Treatment C
9
5
12
8
7
10
7
7
10
8
5
8
F-ratio =____________________
p-value =__________________
Conclusion:
__These data do not provide evidence of a difference between
the treatments
__There is a significant...
The following data were obtained in a study using three separate samples to compare three different...
The following data were obtained in a study using three separate
samples to compare three different treatments.
Treatment 1
Treatment 2
Treatment 3
4
3
8
3
1
4
5
4
3
1
6
6
M = 4
M = 2
M = 6
SS = 2
SS = 4
SS = 8
a. State the null and alternative hypotheses.
b. Fill in the ANOVA table below.
Source
SS
df
MS
F
Between treatments
Within treatments
Total
c. If α...
The following data represent the filling weights based on samples of 350-gram containers. Ten samples of...
The following data represent the filling weights based on
samples of 350-gram containers. Ten samples of size 5 were
taken.
Sample
Observ. 1
Observ. 2
Observ. 3
Observ. 4
Observ. 5
1
333.6226
339.3906
361.9761
339.1192
346.4578
2
365.5820
347.4967
349.5748
352.6524
363.7096
3
363.8708
367.4003
335.0422
328.8487
355.8509
4
338.4916
338.6541
346.3491
366.9538
343.1767
5
355.2305
345.7635
356.5218
347.2718
334.5434
6
345.6990
326.0756
328.9903
362.4881
352.8718
7
334.7083
359.4960
333.1609
352.2697
360.8256
8
341.2400
356.8819
369.7263
336.0729
361.5562
9...
Data 1 and Data 2 represent two samples from your production on Monday and Tuesday of...
Data 1 and Data 2 represent two samples from your production on
Monday and Tuesday of this week. Calculate the P-value when
comparing the population averages of these two groups.
Please include Excel calculations.
Data 1
Strength
252
280
287
272
261
260
279
279
273
266
280
284
280
267
269
260
268
260
259
255
288
296
263
289
282
283
268
281
274
267
280
282
277
276
269
279
287
283
266
262
267
290
275...
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