Suppose the coffee industry claimed that the average adult drinks 1.7 cups of co

Question

Suppose the coffee industry claimed that the average adult drinks 1.7 cups of coffee per day. To test this claim, a random sample of 50 adults was selected, and their average coffee consumption was found to be 1 9 cups per day. Assume the standard deviation of daily coffee consumption per day is 5cups. Using : 05, con plate parts aan below. 1.7 The z-tost statistic is 2.83 Round to two decimal places as needed.) The critical z-score(s) is(are) (Round to two decimal places as needed. Use a comma to separate answers as needed.) Because the test statistic b. Determine the p-value for this test. The p-value is 1 1.

Explanation / Answer

Result:

Z statistic = 2.83

Critical z scores =( -1.96, 1.96)

Based on the test statistic, there is sufficient evidence to reject the null hypothesis.

P value = 0.0047.

Data

Null Hypothesis                       m=

1.7

Level of Significance

0.05

Population Standard Deviation

0.5

Sample Size

50

Sample Mean

1.9

Intermediate Calculations

Standard Error of the Mean

0.0707

Z Test Statistic

2.8284

Two-Tail Test

Lower Critical Value

1.9600

Upper Critical Value

1.9600

p-Value

0.0047

Reject the null hypothesis

Data

Null Hypothesis                       m=

1.7

Level of Significance

0.05

Population Standard Deviation

0.5

Sample Size

50

Sample Mean

1.9

Intermediate Calculations

Standard Error of the Mean

0.0707

Z Test Statistic

2.8284

Two-Tail Test

Lower Critical Value

1.9600

Upper Critical Value

1.9600

p-Value

0.0047

Reject the null hypothesis

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