MATLAB: An Introduction with Applications
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Author: Amos Gilat
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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 assumption was found to be 1.85 cups per day. assume the standard deviation of daily coffee consumption per day is 0.6 cups. Using a= 0.10.
a) Is the coffee industry's claim supported by this sample?
-determine the null and alternative hypotheses
-The z-test statistic is ____
-The critical z-score is(are) ____
b) determine the p-value for this test.
I keep getting this answer wrong someone help!
![**Statistical Analysis of Coffee Consumption Claims**
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 1.85 cups per day. Assume the standard deviation of daily coffee consumption per day is 0.6 cups. Using α = 0.10, complete parts a and b below.
**a. Determining the Hypothesis:**
To evaluate the coffee industry's claim, we need to determine the null and alternative hypotheses:
- **H₀ (Null Hypothesis):** μ = [Insert value]
- **H₁ (Alternative Hypothesis):** μ [Insert inequality] [Insert value]
**Calculating the Z-Test Statistic:**
The z-test statistic is [Insert value].
(Round to two decimal places as needed.)
**Finding the Critical Z-Score(s):**
The critical z-score(s) is(are) [Insert value(s)].
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
**Decision Making:**
Because the test statistic is [Insert decision: in the/ not in the] critical region, we [Insert decision: reject/do not reject] the null hypothesis.
**b. P-Value Calculation:**
Determine the p-value for this test.
- The p-value is [Insert value].
(Round to three decimal places as needed.)
These steps will guide you in evaluating whether the coffee industry's claim is supported by the sample data.](https://content.bartleby.com/qna-images/question/40221bcd-c668-490f-a9c5-85d791c1c431/44bcdafe-3f6b-47af-bbe3-5b8e4188faf2/no3l53_processed.jpeg)
Transcribed Image Text:**Statistical Analysis of Coffee Consumption Claims**
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 1.85 cups per day. Assume the standard deviation of daily coffee consumption per day is 0.6 cups. Using α = 0.10, complete parts a and b below.
**a. Determining the Hypothesis:**
To evaluate the coffee industry's claim, we need to determine the null and alternative hypotheses:
- **H₀ (Null Hypothesis):** μ = [Insert value]
- **H₁ (Alternative Hypothesis):** μ [Insert inequality] [Insert value]
**Calculating the Z-Test Statistic:**
The z-test statistic is [Insert value].
(Round to two decimal places as needed.)
**Finding the Critical Z-Score(s):**
The critical z-score(s) is(are) [Insert value(s)].
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
**Decision Making:**
Because the test statistic is [Insert decision: in the/ not in the] critical region, we [Insert decision: reject/do not reject] the null hypothesis.
**b. P-Value Calculation:**
Determine the p-value for this test.
- The p-value is [Insert value].
(Round to three decimal places as needed.)
These steps will guide you in evaluating whether the coffee industry's claim is supported by the sample data.
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