In: Statistics and Probability

A company claims that a new manufacturing process changes the mean amount of aluminum needed for cans and therefore changes the weight. Independent random samples of aluminum cans made by the old process and the new process are taken. The summary statistics are given below. Is there evidence at the 5% significance level (or 95% confidence level) to support the claim that the mean weight for all old cans is different than the mean weight for all new cans? Justify fully!

The Old process had a sample of size 25 with a mean of 0.504 and standard deviation of 0.019. The New process had a sample of size 25 with a mean of 0.495 and standard deviation of 0.021.

Here accept the null hypotheses.

I .e there is no significant difference between mean weight of all old cans and mean weight of all new cans.

A company claims that a new manufacturing process changes the
mean amount of aluminum needed for cans and therefore changes the
weight. Independent random samples of aluminum cans made by the old
process and the new process are taken. The summary statistics are
given below. Is their evidence the 5% significance level (or 95
confidence level) to support the claim that the mean weight for all
old cans is different than the mean weight for all new cans
?Justify fully!...

A company manufacturing light bulbs is testing a new model. The
company claims that the mean life time is less than 1000 hours.
A sample of 16 light bulbs are found to have sample mean of
987.5 hours and a sample variance of 400.
(a) Test this claim at the significance level α = 0.02.
Step 1:
Step 2:
Step 3:
Step 4:
Step 5:
(b) Is there any assumption needed to solve this question? if
yes please state the...

Pittsburgh Aluminum Company uses a process cost system to record
the costs of manufacturing rolled aluminum, which consists of the
smelting and rolling processes. Materials are entered from smelting
at the beginning of the rolling process. The inventory of Work in
Process—Rolling on September 1 and debits to the account during
September were as follows:
Bal., 600 units, 40% completed:
Direct materials (600 x $6.5)
$ 3,900
Conversion (600 x 40% x $2.7)
648
$ 4,548
From Smelting Department, 14,160...

Pittsburgh Aluminum Company uses a process cost system to record
the costs of manufacturing rolled aluminum, which consists of the
smelting and rolling processes. Materials are entered from smelting
at the beginning of the rolling process. The inventory of Work in
Process—Rolling on September 1 and debits to the account during
September were as follows:
Bal., 1,000 units, 30% completed:
Direct materials (1,000 x $5) $ 5,000
Conversion (1,000 x 30% x $2.1) 630
$ 5,630
From Smelting Department, 24,000...

Process Activity Analysis
The Brite Beverage Company bottles soft drinks into aluminum
cans. The manufacturing process consists of three activities:
Mixing: water, sugar, and beverage concentrate
are mixed.
Filling: mixed beverage is filled into 12-oz.
cans.
Packaging: properly filled cans are boxed into
cardboard "fridge packs".
The activity costs associated with these activities for the
period are as follows:
Mixing
$612,000
Filling
543,000
Packaging
165,000
Total
$1,320,000
The activity costs do not include materials costs, which are
ignored for this...

A new chemical process has been developed for producing
gasoline. The company claims that this new process will
increase the octane rating of the gasoline. Sixteen samples of the
gasoline produced with the new process are selected at random and
their octane reading were: 94, 93, 97, 92, 96, 94, 95, 91, 98, 95,
92, 91, 98, 95, 92, 91, 95, 96, 97, 93. If the mean octane using
the existing process is 93, is the company's claim correct (use
1%)...

The Brite Beverage Company bottles soft drinks into aluminum
cans. The manufacturing process consists of three activities:
Mixing: water, sugar, and beverage concentrate are mixed. Filling:
mixed beverage is filled into 12-oz. cans. Packaging: properly
filled cans are boxed into cardboard "fridge packs". The activity
costs associated with these activities for the period are as
follows: Mixing $268,000 Filling 237,000 Packaging 95,000 Total
$600,000 The activity costs do not include materials costs, which
are ignored for this analysis. Each can...

A cloth manufacturing company claims that the mean tearing
strength of their curtain fabric is 120 pounds. A government
inspection agency conducted tests on 100 curtain lengths revealing
a mean strength of 115 pounds with a standard deviation of 20
pounds. At the 1% level of significance, does the governments’
information support the manufacturer’s claim?
State what is given, what are the hypothesis, what is the test
statistic, draw a graph, find the p-value and state the conclusion.
As an...

Question: A cloth manufacturing company claims that the mean
tearing strength of their
curtain fabric is 120 pounds. A government inspection agency
conducted tests on 49 curtain
lengths revealing a mean strength of 115 pounds with a standard
deviation of 20 pounds. At the
10% level of significance, does the governments’ information show
that the mean tearing
strength of the fabric is lower than manufacturer’s claim?

3. A paint manufacturing company claims that the mean drying time
for its paints is not longer than 60 minutes. A random sample of 20
gallons of paints selected from the production line of this company
showed that the mean drying time for this sample is 63.50 minutes
with a sample standard deviation of 4 min utes. Assume that the drying times
for these paints have a normal distribution. Test the claim that
the mean drying time for its paints...

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