Question

A company that makes cola soft drinks states that the mean caffeine content per 12-ounce bottle is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of 30 12-ounce bottles of cola has a mean caffeine content of 36.1 milligrams. Assume the population is normally distributed and the population standard deviation is 7.8 milligrams. At ? = 0.08, can you reject the company's claim? Hypothesis Null: H0 Statement Claim? H0: ? = 35 ? Alt: Ha: ? ? 35 (2?tailed) Statistic: Sample 1: n = 30, x? = 36.1, ? = 7.8 Sig. Level: 0.08 Test Stat: z = 0.772 Crit value: z_{.04} ? ±1.75 Compare p to ?: Is p < ?? NO We FAIL TO REJECT H0. In context: There is not enough evidence to reject the claim. In context, we think that: There is no sufficient evidence to claim that the mean caffeine content per 12-ounce bottle is 35 milligrams; we fail to reject the claim. Find a 92% confidence interval: 92% CI: (33.607, 38.593) Explain how this confirms the results of our Hypothesis Test: 35 milligrams is within the interval.

          A company that makes cola soft drinks states that the mean caffeine content per 12-ounce bottle is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of 30 12-ounce bottles of cola has a mean caffeine content of 36.1 milligrams. Assume the population is normally distributed and the population standard deviation is 7.8 milligrams. At ? = 0.08, can you reject the company's claim?

Hypothesis
Null: H0	Statement	Claim?
	H0: ? = 35	?
Alt: Ha: ? ? 35	(2?tailed)

Statistic: Sample 1: n = 30, x? = 36.1, ? = 7.8
Sig. Level: 0.08
Test Stat: z = 0.772
Crit value: z_{.04} ? ±1.75

Compare p to ?: Is p < ?? NO
We FAIL TO REJECT H0.

In context:
There is not enough evidence to reject the claim.
In context, we think that:
There is no sufficient evidence to claim that the mean caffeine content per 12-ounce bottle is 35 milligrams; we fail to reject the claim.

Find a 92% confidence interval:
92% CI: (33.607, 38.593)

Explain how this confirms the results of our Hypothesis Test:
35 milligrams is within the interval.

A company that makes cola soft drinks states that the mean caffeine content per 12-ounce bottle is 35 milligrams. You want to test this claim. During your tests, you find that a random sample of 30 12-ounce bottles of cola has a mean caffeine content of 36.1 milligrams. Assume the population is normally distributed and the population standard deviation is 7.8 milligrams. At ? = 0.08, can you reject the company's claim?

Hypothesis
Null: H0 Statement Claim?
H0: ? = 35 ?
Alt: Ha: ? ? 35 (2?tailed)

Statistic: Sample 1: n = 30, x? = 36.1, ? = 7.8
Sig. Level: 0.08
Test Stat: z = 0.772
Crit value: z.04 ? ±1.75

Compare p to ?: Is p < ?? NO
We FAIL TO REJECT H0.

In context:
There is not enough evidence to reject the claim.
In context, we think that:
There is no sufficient evidence to claim that the mean caffeine content per 12-ounce bottle is 35 milligrams; we fail to reject the claim.

Find a 92% confidence interval:
92% CI: (33.607, 38.593)

Explain how this confirms the results of our Hypothesis Test:
35 milligrams is within the interval.

Added by Michael P.

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