Question
In: Statistics and Probability
A quality control inspector must estimate the proportion of defective microcomputer chips coming from two different...
A quality control inspector must estimate the proportion of defective microcomputer chips coming from two different assembly operations. She knows that, among the chips in the lot to be inspected, 60% are from assembly operation A and 40% are from assembly operation B. In a SRS of 100 chips, 38 turn out be from operation A and 62 from operation B. Among the sampled chips from operation A, six are defective. Among the sampled chips from operation B, ten are defective.
(a) Considering only the SRS of 100 chips, estimate the proportion of defectives in the lot, and provide a 95% confidence interval.
(b) Stratifying the sample, after selection, into chips from operation A and B, estimate the proportion of defectives in the population, and estimate the standard error. Ignore the finite population correction in both cases. Which answers do you find more acceptable?
Solutions
orchestra answered 1 year agoRelated Solutions
A quality control inspector must estimate the proportion of defective microcomputer chips coming from two different...
A quality control inspector must estimate the proportion of
defective microcomputer chips coming from two different assembly
operations. She knows that, among the chips in the lot to be
inspected, 60% are from assembly operation A and 40% are from
assembly operation B. Therefore, she takes a stratified random
sample of 100 chips where 50 are randomly sampled from each
operation. Among the sampled chips from operation A, six are
defective. Among the sampled chips from operation B, ten are...
A quality control engineer is interested in estimating the proportion of defective items coming off a...
A quality control engineer is interested in estimating the
proportion of defective items coming off a production line. In a
sample of 255 items, 45 are defective. Calculate a 95.0% confidence
interval estimate for the proportion of defectives from this
production line. (Use 3 decimal places in calculations and in
reporting your answers.)
Lower Limit:
Upper Limit:
20% of all CDs manufactured by an electronics company are defective. A quality control inspector randomly...
20% of all CDs manufactured by an electronics company are
defective. A quality control inspector randomly selects 6 CDs from
the production line. Use binomial distribution, what is the
probability that more than 2 but less than 6 are defectives.
The quality-control inspector of a production plant will reject a batch of syringes if two or...
The quality-control inspector of a production plant will reject
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a random sample of nine syringes taken from the batch. Suppose the
batch contains 1% defective syringes. (a) Make a histogram showing
the probabilities of r = 0, 1, 2, 3, , 8 and 9 defective syringes
in a random sample of nine syringes. (b) Find μ. What is the
expected number of defective syringes the inspector will...
A production process is checked periodically by a quality control inspector. The inspector selects simple random...
A production process is checked periodically by a quality
control inspector. The inspector selects simple random samples of
50 finished products and computes the sample mean product weights
x. If test results over a long period of time show that 5%
of the x values are over 4.1 pounds and 5% are under 3.9
pounds, what is the standard deviation (in lb) for the population
of products produced with this process? (Round your answer for the
standard deviation to two...
A quality inspector is worrying about the defective produced in the production process. He wants to...
A quality inspector is worrying about the defective produced in
the production process. He wants to test that the average
defectives produced are 145 or less. He collects a sample of 25
production runs and found that a sample mean of 150 defectives were
produced with a std deviation of 20. With this information he
wishes to perform a hypothesis test at 5% significance level.
The decision is to:
Reject Null; test statistic < critical value (or t test
statistic...
Out of six computer chips, two are defective. If two of the chips are chosen randomly...
Out
of six computer chips,
two are defective.
If two of the chips are chosen randomly for
testing,
compute the probability that both of them are defective.
List all the outcomes in the sample space, if we were checking all
six computer chips.
A
quiz consists of 6
multiple-choice questions. Each
question has 4
possible answers. A
student is unprepared,
and he has no choice but to guess answers completely at
random.
He passes the quiz if he gets at...
n chips manufactured, two of which are defective. k chips randomly selected from n for testing....
n chips manufactured, two of which are defective. k chips
randomly selected from n for testing.
Q1. What is Pr(a defective chip is in k selected chips) ?
n persons at a party throw hats in a pile, select at random.
Q2. What is Pr(no one gets own hat) ?
Q3. Plot Pr (no one gets own hat) in the Y-axis and n=[1,1000]
in the X-axis (~pmf)
An inspector is doing a quality control assessment on a new shipment of wireless headphones. The...
An inspector is doing a quality control assessment on a new
shipment of wireless headphones. The original invoices for the
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65% is from the Samsung company. The inspector also knows that
Jabra’s headphones have a 3% defect rate (meaning that 3% of the
sample will fail on first usage). The defect rate for Samsung
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Complete each subquestion that follows, showing all of your...
A process considered to be in control measures an ingredient in ounces. A quality inspector took...
A process considered to be in control measures an ingredient in
ounces. A quality inspector took 10 samples, each with 5
observations as follows:
Samples
Observations
1
2
3
4
5
1
10
9
10
9
12
2
9
9
11
11
10
3
13
9
10
10
9
4
10
10
11
10
10
5
12
10
9
11
10
6
10
10
8
12
9
7
10
11
10
8
9
8
13
10
8
10
8
9...
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