Question

2.) A process produces cable for the local telephone company. When the process is operating correctly, cable diameter follows a normal distribution with mean 4 inches. A random sample of 48 pieces of cable found diameters with a sample mean of 7 inches and a sample standard deviation of 0,66 inches.

a) State your hypothesis H0 and H1 claiming that the process is operating correctly.

b) State the decision rule, sample statistics, table value and test statistic in the same order as in the extra solved examples on hypothesis testing.

c) Test, at the 99% level, the null hypothesis that the process is operating correctly

Answer #1

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Question 7: Hypothesis Testing - Two-Sided, Unknown Population
Variance
A process produces cable for the local telephone company. When
the process is operating correctly, cable diameter follows a normal
distribution with mean 1.6 inches. A random sample of 16 pieces of
cable found diameters with sample mean of 1.615 inches and sample
standard deviation of 0.05.
Test, at the 10% level against a two-sided alternative, the null
hypothesis that the population mean is 1.6 inches.

When operating normally, a manufacturing process produces
tablets for which the mean weight of the active ingredient is 5
grams, and the standard deviation is 0.025 gram. For a random
sample of 10 tablets, the following weights of active ingredient
(in grams) were found:
7 4+(1/5) 10 5+(1/6) 5+(1/3) 4.69 4.95 4.98 4.52 4.63
(Round the numbers to two digit decimals)
Manufacturing department claims that the population mean weight of
active ingredient per tablet is 5 grams. Based on this...

When operating normally, a manufacturing process produces
tablets for which the mean weight of the active ingredient is 5
grams, and the standard deviation is 0.025 gram. For a random
sample of 10 tablets, the following weights of active ingredient
(in grams) were found:
7 4+(1/5) 10 5+(1/6) 5+(1/3) 4.69 4.95 4.98 4.52 4.63
(Round the numbers to two digit decimals)
Manufacturing department claims that the population mean weight of
active ingredient per tablet is 5 grams. Based on this...

Plastic sheets produced by a machine are periodically monitored
for possible fluctuations in thickness. If the true variance in
thicknesses exceeds 24 square millimeters, there is cause for
concern about product quality. Thickness measurements for a random
sample of 10 sheets produced in a particular shift were taken,
giving the following results (in millimeters):
96 35 180 54 50 228 225 228 229 230
Quality department claims that there is no concern about product
quality. Based on this information;
a)...

Plastic sheets produced by a machine are periodically monitored
for possible fluctuations in thickness. If the true variance in
thicknesses exceeds 24 square millimeters, there is cause for
concern about product quality. Thickness measurements for a random
sample of 10 sheets produced in a particular shift were taken,
giving the following results (in millimeters):
96 35 180 54 50 228 225 228 229 230
Quality department claims that there is no concern about product
quality. Based on this information;
a)...

The manufacturing process at a factory produces ball bearings
that are sold to automotive manufacturers. The factory wants to
estimate the average diameter of a ball bearing that is in demand
to ensure that it is manufactured within the specifications.
Suppose they plan to collect a sample of 50 ball bearings and
measure their diameters to construct a 90% and 99% confidence
interval for the average diameter of ball bearings produced from
this manufacturing process.
The sample of size 50...

When operating normally, a manufacturing process produces
tablets for which the mean weight of the active ingredient is 5
grams, and the standard deviation is 0.025 gram. For a random
sample of 12 tables the following weights of active ingredient (in
grams) were found:
5.01 4.69 5.03 4.98 4.98 4.95 5.00 5.00 5.03 5.01 5.04 4.95
Without assuming that the population variance is known, test the
null hypothesis that the population mean weight of active
ingredient per tablet is 5...

The Gidget Company makes widgets. If the production process is
working properly, it turns out that the widgets are normally
distributed with a mean length of at least 3.3 feet. Larger widgets
can be used or altered but shorter widgets must be scrapped. You
select a sample of 25 widgets, and the mean length is 3.28 feet
and the sample standard deviation is 0.18 foot. Do you need to
adjust the production equipment? Complete parts (a) through
(d).
a. If...

**Please calculate using JMP and show
anaylsis*
When operating normally, a manufacturing process produces
tablets for which the mean weight of the active ingredient is 5
grams, and the standard deviation is 0.025 gram. For a random
sample of 12 tables the following weights of active ingredient (in
grams) were found:
5.01 4.69 5.03 4.98 4.98 4.95 5.00 5.00 5.03 5.01 5.04 4.95
Without assuming that the population variance is known, test the
null hypothesis that the population mean weight...

(Refer to HW6 #2) Rural and urban students are to be
compared on the basis of their scores on a
nationwide musical aptitude test. Two random sample of sizes 90 and
100 are selected from rural
and urban seventh grade students. The summary statistics from the
test scores are
Rural Urban
Sample size 90 100
Mean 76.4 81.2
Standard deviation 8.2 7.6
Do these data provide strong evidence that there is a difference in
population mean scores between
urban and...

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