Question

A perfume factory wishes to ensure that an average of 16ml of perfume is used to fill each bottle. In order to analyse the accuracy of the bottling process, he takes a random sample of 48 bottles. The mean weight of the sample is 15.8ml. Assume that the population standard deviation is 0.8ml.

(i) State the null and the alternative hypotheses for the test

(ii) use the critical value apporach to test the bottler’s concern at alpha = 0.05

(iii) make a recommendation to the bottler

Answer #1

A LOCAL BOTTLER IN HAWAII WISHES TO ENSURE TO ENSURE THAT AN
AVERAGE OF 24 OUNCES OF PASSION FRUIT JUICE IS USED TO FILL EACH
BOTTLE. I ORDER TO ANALYZE THE ACCURACY OF THE BOTTLING PROCESS, HE
TAKES A RANDOM OF 50 BOTTLES. THE MEAN WEIGHT OF THE PASSION FRUIT
JUICE IN THE SAMPLE IS 23.69 OUNCES. ASSUME THAT THE POPULATION
STANDARD DEVIATION IS .87 OUNCE.
CALCULATE THE VALUE OF THE TEST STATISTICS
MAKE A RECOMMENDATION TO THE BOTTLER
THE...

A local bottler in Hawaii wishes to ensure that an average of 16
ounces of passion fruit juice is used to fill each bottle. In order
to analyze the accuracy of the bottling process, he takes a random
sample of 48 bottles. The mean weight of the passion fruit juice in
the sample is 15.80 ounces. Assume that the population standard
deviation is 0.8 ounce. Use the critical value approach to test the
bottler's concern at α = 0.05. What...

An average of 12 ounces of beer is used to fill each bottle in a
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Conduct a one-sample t-test to test whether the beer bottles are
overfilled. Use 5% level of significance. (Round
your steps to 4 decimal...

The Crown Bottling Company has just installed a new bottling
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Classic Cola soft drink. Both overfilling and underfilling bottles
are undesirable: Underfilling leads to customer complaints and
overfilling costs the company considerable money. In order to
verify that the filler is set up correctly, the company wishes to
see whether the mean bottle fill, µ, is close to the target fill of
20 ounces. To this end, a random sample...

The Crown Bottling Company has just installed a new bottling
process that will fill 16-ounce bottles of the popular Crown
Classic Cola soft drink. Both overfilling and underfilling bottles
are undesirable: Underfilling leads to customer complaints and
overfilling costs the company considerable money. In order to
verify that the filler is set up correctly, the company wishes to
see whether the mean bottle fill, μ, is close to the
target fill of 16 ounces. To this end, a random sample...

The Crown Bottling Company has just installed a new bottling
process that will fill 16-ounce bottles of the popular Crown
Classic Cola soft drink. Both overfilling and underfilling bottles
are undesirable: Underfilling leads to customer complaints and
overfilling costs the company considerable money. In order to
verify that the filler is set up correctly, the company wishes to
see whether the mean bottle fill, μ, is close to the
target fill of 16 ounces. To this end, a random sample...

13. The value used for the mean weight of elevator passengers by
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elevator yielded sample mean 196 pounds and sample standard
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(a) State the null and alternative hypotheses for the test.
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1. Find the area under the standard normal curve (round to four
decimal places)
a. To the left of z=1.65
b. To the right of z = 0.54
c. Between z = -2.05 and z = 1.05
2. Find the z-score that has an area of 0.23 to its right.
3. The average height of a certain group of children is 49
inches with a standard deviation of 3 inches. If the heights are
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