Lemma
MediumChi-square tests
OpenStax, Statistics §11.6 Test of a Single Variance · Exercise 31 · Statistics · Chi-square tests

Test of a Single Variance · Exercise 31

For each word problem, use a solution sheet to solve the hypothesis test problem. Go to for the chi-square solution sheet. Round expected frequency to two decimal places.

A company packages apples by weight. One of the weight grades is Class A apples. Class A apples have a mean weight of 150 grams, and there is a maximum allowed weight tolerance of 5 percent above or below the mean for apples in the same consumer package. A batch of apples is selected to be included in a Class A apple package. Given the following apple weights of the batch, does the fruit comply with the Class A grade weight tolerance requirements? Conduct an appropriate hypothesis test.
(a) At the 5 percent significance level
(b) At the 1 percent significance level
Weights in selected apple batch (in grams): 158; 167; 149; 169; 164; 139; 154; 150; 157; 171; 152; 161; 141; 166; and 172.

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OpenStax, Statistics · §11.6 Test of a Single Variance · Exercise 31

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