A random sample of 12 bags of barbecue potato chips is collected and the price of each determined. The mean was $1.03 with a standard deviation of 7 cent ($0.07). Using $\alpha$ = 0.10, we wish to test H₀: $\mu$ = $1.00. The result is significant A) for both H_a: $\mu$ $1.00 and for H_a: $\mu$$\neq$ $1.00. B) for H_a: $\mu$ $1.00 but not for H_a: $\mu$$\neq$ $1.00. C) for H_a: $\mu$ $\neq$$1.00 but not for H_a: $\mu$ $1.00. D) neither for H_a:$\mu$ $1.00 nor for H_a: $\mu$ $\neq$ $1.00.

Question

A random sample of 12 bags of barbecue potato chips is collected and the price of each determined. The mean was $1.03 with a standard deviation of 7 cent ($0.07). Using $\alpha$ = 0.10, we wish to test H₀: $\mu$ = $1.00. The result is significant A) for both H_a: $\mu$> $1.00 and for H_a: $\mu$$\neq$ $1.00. B) for H_a: $\mu$ > $1.00 but not for H_a: $\mu$$\neq$ $1.00. C) for H_a: $\mu$ $\neq$$1.00 but not for H_a: $\mu$ > $1.00. D) neither for H_a:$\mu$ > $1.00 nor for H_a: $\mu$ $\neq$ $1.00.

Quizplus · Accepted Answer

Given the mean of the sample is $1.03, which is greater than the hypothesized mean of $1.00, the result would be significant for a one-tailed test where the alternative hypothesis is $\mu > $1.00$ (indicating the mean price is greater than $1.00). However, for a two-tailed test ($\mu \neq $1.00$), the significance of the result would depend on the critical value for $\alpha = 0.10$ and the sample size, but the question explicitly states the result is significant, implying it's significant in the context of the one-tailed test specified.

A Random Sample of 12 Bags of Barbecue Potato Chips α\alphaα

A Random Sample of 12 Bags of Barbecue Potato Chips $\alpha$