Question

A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams. You want to test this claim. During your tests, you find that a random sample of thirty 12-ounce bottles of cola has a mean caffeine content of 53.3 milligrams. Assume the population is normally distributed and the population standard deviation is 6.1 milligrams. At alphaαequals=0.07 can you reject the company's claim? Complete parts (a) through (e).

Answer #1

a) The null and alternative hypothesis is ,

The test is two-tailed test.

b) Since , the population standard deviation is known.

Therefore , use normal distribution.

The critical values are , ; From Z-table

c) The test statistic is ,

d) Decision : Here , the value of the test statistic does not lies in the rejection region.

Therefore , fail to reject Ho.

e) Conclusion : Hence , there is sufficient evidence to support the claim that the mean caffeine content per 12-ounce bottle of cola is 55 milligrams.

A company that makes cola drinks states that the mean caffeine
content per 12-ounce bottle of cola is 50 milligrams. You want to
test this claim. During your tests, you find that a random sample
of thirty 12-ounce bottles of cola has a mean caffeine content of
50.4 milligrams with a standard deviation of 7.6 milligrams. At
alphaequals0.05, can you reject the company's claim? Complete
parts (a) through (e).

A consumer research organization states that the mean caffeine
content per 12-ounce bottle of a population of caffeinated soft
drinks is 37.8 milligrams. You find a random sample of 48 12-ounce
bottles of caffeinated soft drinks that has a mean caffeine content
of 41.5 milligrams. Assume the population standard deviation is
12.5 milligrams. At α=0.05, what type of test is this and can you
reject the organization’s claim using the test statistic?

A
company that makes college rank states that the main caffeine
content per 12 ounce bottle of cola is 50 mg you want to test this
claim during your test you find a random sample of 3012 ounce
bottles of cola has a main caffeine content of 48.4 mg assume the
population is normally distributed in the population standard
deviation is 6.3 mg at 0.01 can you reject the companies claim
identify HO and HOa

A company that makes cola drinks states that the mean caffeine
content per 12-ounce bottle of cola is 40 milligrams. You want to
test this claim. During your tests, you find that a random sample
of thirty 12-ounce bottles of cola has a mean caffeine content of
40.6 milligrams. Assume the population is normally distributed and
the population standard deviation is 7.5 milligrams. At
alphaequals0.09, can you reject the company's claim? Complete
parts (a) through (e).
(a) Identify Upper H...

A consumer research organization states that the mean caffeine
content per 12-ounce bottle of a population of caffeinated soft
drinks is 37.8 milligrams. You find a random sample of 48 12-ounce
bottles of caffeinated soft drinks that has a mean caffeine content
of 41.5 milligrams. Assume the population standard deviation is
12.5 milligrams. At α=0.05, what type of test is this and can you
reject the organization’s claim using the test statistic?
Claim is null, fail to reject the null...

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