Chapter 1. Tests for a Population Mean

Incorrect. We have evidence to believe H_a when we reject H₀ and we reject H₀ when P-value < α.

Correct. We have evidence to believe H_a when we reject H₀ and we reject H₀ when P-value < α.

Incorrect. Try again.

2

Incorrect. We do not have evidence to believe H_a when we fail to reject H₀ and we fail to reject H₀ when P-value > α. We never conclude H₀ is correct.

Correct. We do not have evidence to believe H_a when we fail to reject H₀ and we fail to reject H₀ when P-value > α. We never conclude H₀ is correct.

Incorrect. Try again.

2

Incorrect. In using H₀ to specify the center of the sampling distribution of \(\overline{x} \), we are assuming H₀ is correct.

Correct. In using H₀ to specify the center of the sampling distribution of \(\overline{x} \), we are assuming H₀ is correct.

Incorrect. Try again.

2

Incorrect. "≠” in H_a indicates that the hypotheses are two-sided.

Correct. "≠” in H_a indicates that the hypotheses are two-sided.

Incorrect. Try again.

2

Incorrect. The direction in H_a tells us which tail contains the P-value for the test.

Correct. The direction in H_a tells us which tail contains the P-value for the test.

Incorrect. Try again.

2

Incorrect. The research question is “Is the mean for all BYU students less than 6?” So, H_a is “μ < 6.”

Correct. The research question is “Is the mean for all BYU students less than 6?” So, H_a is “μ < 6.”

Incorrect. Try again.

2

Incorrect. The direction specified in H_a tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).

Correct. The direction specified in H_a tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).

Incorrect. Try again.

2

Incorrect. We computed the probability of getting \(\overline{x} \) = 5.2 or lower if μ = 6.

Correct. We computed the probability of getting \(\overline{x} \) = 5.2 or lower if μ = 6.

Incorrect. Try again.

2

Incorrect. Since P-value = 0.0018 is less than α = 0.10, we reject H₀.

Correct. Since P-value = 0.0018 is less than α = 0.10, we reject H₀.

Incorrect. Try again.

2

Incorrect. Since P-value = 0.0018 is less than α = 0.10, we reject H₀ and we can conclude H_a is correct.

Correct. Since P-value = 0.0018 is less than α = 0.10, we reject H₀ and we can conclude H_a is correct.

Incorrect. Try again.

2

Incorrect. Whenever P-value is less than α we have sufficience evidence to conclude H_a is correct.

Correct. Whenever P-value is less than α we have sufficience evidence to conclude H_a is correct.

Incorrect. Try again.

2

Incorrect. The research question is “Has the training raised the mean above 483?” So, H_a is “μ > 483.”

Correct. The research question is “Has the training raised the mean above 483?” So, H_a is “μ > 483.”

Incorrect. Try again.

2

Incorrect. The direction specified in H_a tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).

Correct. The direction specified in H_a tells us which tail in which to find P-value in the sampling distribution of \(\overline{x} \).

Incorrect. Try again.

2

Incorrect. We computed the probability of getting \(\overline{x} \) = 499.1 or greater if μ = 483.

Correct. We computed the probability of getting \(\overline{x} \) = 499.1 or greater if μ = 483.

Incorrect. Try again.

2

Incorrect. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H₀.

Correct. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H₀.

Incorrect. Try again.

2

Incorrect. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H₀ and we cannot conclude H_a is correct.

Correct. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H₀ and we cannot conclude H_a is correct.

Incorrect. Try again.

2

Incorrect. Whenever P-value is NOT less than α we have insufficience evidence to conclude H_a is correct.

Correct. Whenever P-value is NOT less than α we have insufficience evidence to conclude H_a is correct.

Incorrect. Try again.

2

Incorrect. The research question is “Does the mean differ from 128?” So, H_a is “μ ≠ 128.”

Correct. The research question is “Does the mean differ from 128?” So, H_a is “μ ≠ 128.”

Incorrect. Try again.

2

Incorrect. If data are not appropriately collected, P-values and confidence levels are not accurate.

Correct. If data are not appropriately collected, P-values and confidence levels are not accurate.

Incorrect. Try again.

2

Incorrect. The direction specified in H_a tells us which tail(s) in which to find P-value in the sampling distribution of \(\overline{x} \). Since we have “≠” in H_a, we have a two-sided test and P-value is the area in both tails.

Correct. The direction specified in H_a tells us which tail(s) in which to find P-value in the sampling distribution of \(\overline{x} \). Since we have “≠” in H_a, we have a two-sided test and P-value is the area in both tails.

Incorrect. Try again.

2

Incorrect. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H₀.

Correct. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H₀.

Incorrect. Try again.

2

Incorrect. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H₀ and we cannot conclude H_a is correct.

Correct. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H₀ and we cannot conclude H_a is correct.

Incorrect. Try again.

2

Incorrect. Whenever P-value is NOT less than α we have insufficience evidence to conclude H_a is correct.

Correct. Whenever P-value is NOT less than α we have insufficience evidence to conclude H_a is correct.

Incorrect. Try again.

2

Incorrect. The direction in the alternative hypothesis specifies the tail (or tails) where we find the area of P-value.

Correct. The direction in the alternative hypothesis specifies the tail (or tails) where we find the area of P-value.

Incorrect. Try again.

2