The Kraft Heinz Food Company requires that corn supplied for canning weigh 5 ounces per ear. Corny Cobs claim that the corn it supplies means this specification. A random sample of 36 ear of corn shows that the sample mean, X̅, is 5.02 ounces. The population standard deviation σ, is presumed to be 0.25 ounces. Research Question: Is Corny Cobs not meeting Kraft Heinz Foods’ specification? Test the hypothesis at a 5% significance level. Is there sufficient information to support there is a significant difference from 5 ounces per ear? What test statistic should you use and why? (There are three basic one-sample hypothesis tests: 1) z-test for the population mean, 2) z-test for the population proportion, and 3) t-test for the population mean.) Based on the research question is this a left-tailed, two-tailed, or right-tailed test? Step 2. Select the Level of Significance, α A 5 percent significance level has been selected.
Exercise 1:
Step 1. Test Set-up
The Kraft Heinz Food Company requires that corn supplied for canning weigh 5 ounces per ear. Corny Cobs claim that the corn it supplies means this specification. A random sample of 36 ear of corn shows that the sample
Test the hypothesis at a 5% significance level. Is there sufficient information to support there is a significant difference from 5 ounces per ear?
What test statistic should you use and why? (There are three basic one-sample hypothesis tests: 1) z-test for the population mean, 2) z-test for the population proportion, and 3) t-test for the population mean.)
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Based on the research question is this a left-tailed, two-tailed, or right-tailed test?
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Step 2. Select the Level of Significance, α
A 5 percent significance level has been selected.
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What is the Critical Value or Values of the Test Statistic? |
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Step 3. State the null hypothesis (H0) and alternate hypothesis (H1)
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H0: |
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H1: |
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Follow the examples shown in Clear-Sighted Statistics. You must use the appropriate Greek letters and mathematical symbols.
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= |
≠ |
≤ |
> |
≥ |
< |
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μ |
σ2 |
π |
ρ |
η2 |
χ2 |
Step 4. Compose the decision rule using critical values not p-values. Follow the examples shown in Clear-Sighted Statistics.
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Step 5. Calculate the Value of the Test Statistic, p-value, Effect Size, Statistical Power and the Probability of a Type II Error
Step 6: Decide and Report. Your report show cover what your findings mean, whether the test has practical significance, and whether the test has sufficient statistical power or is under or over powered. Do not use the personal pronoun “I” in your report.
Exercise 2
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