## Hypothesis Tests

Hypothesis Tests:

(1) Use a one-sided upper-tail (Form C) t-test on the population mean for the data set 2
Select a reasonable value to test against.
(2) Use an F-test to test whether the two population variances are equal or not (Form A)

Data Set 1

Table: weight of 10 lemons randomly took out from the data set 1 of the project part I in unit of grams.

Sample size n1=10

Data Set 2

Table: weight of 10 oranges in unit of grams bought at the same local store.

Hypothesis Tests:

(1) Use a one-sided upper-tail (Form C) t-test on the population mean for the data set 2.
Select a reasonable value to test against.
(2) Use an F-test to test whether the two population variances are equal or not (Form A)

For each test, describe in words what you are testing.

Please specify the null and alternative hypotheses and write out the type I and type II errors.

Please demonstrate both a confidence interval approach and a test statistic approach.

Please include calculations for confidence intervals and test statistics.

You may use Excel for summary calculations, show what functions you use in excel.

• Single Population Variance
• Single Population Mean
• Comparison of Two Variances
• Comparison of Two Means

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