Use a 0.05 significance level to test the claim that peanut candies have weights

Question

Use a 0.05 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 0.279. A sample of 61 peanut candies has weights with a standard deviation of 0.26. Assume the population is normally distributed. (a) Write the dlaim mathematically and identify Ho and H . A. Ho: 2 0.279 (Claim): Ha: 0.279 (Claim) (b) Find the critical value(s) 79.082 (Use a comma to separate answers as needed. Round to three decimal places as needed.) ldentify the rejection region(s). O A O B O C.

Explanation / Answer

a) claim : peanut candies have weights that vary more than plain candies .

so correct option is c

c. Ho: 0.279 , Ha:   > 0.279

b) n=61 ,=0.05

critical value = ± 1.96 ( using z-tzble )

c) values are less than -1.96 and greater than 1.96 are rejected

so option b is correct

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