Use a 0.025 significance level to test the claim that peanut candies have weights that vary more than plain candies. The standard deviation for the weights of plain candies is 0.149. A sample of 71 peanut candies has weights with a standard deviation of 0.33. Assume the population is normally distributed. ​(a) Write the claim mathematically and identify H0 and Ha. ​(b) Find the critical​ value(s). Identify the rejection​ region(s). ​(c) Use the χ2​-test to find the standardized test statistic. ​(d) Decide whether to reject or fail to reject the null hypothesis.

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Use a 0.025 significance level to test the claim that peanut candies have weights that vary more than plain candies. The standard deviation for the weights of plain candies is 0.149. A sample of 71 peanut candies has weights with a standard deviation of 0.33. Assume the population is normally distributed.

​(a) Write the claim mathematically and identify H0 and Ha.

​(b) Find the critical​ value(s).

Identify the rejection​ region(s).

​(c) Use the χ2​-test to find the standardized test statistic.

​(d) Decide whether to reject or fail to reject the null hypothesis.

 

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