# Chapter 1. Tests for a Population Mean

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Stat Tutor
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1:57

### Question 1.1

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Incorrect. We have evidence to believe Ha when we reject H0 and we reject H0 when P-value < α.
Correct. We have evidence to believe Ha when we reject H0 and we reject H0 when P-value < α.
Incorrect. Try again.
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### Question 1.2

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Incorrect. We do not have evidence to believe Ha 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 Ha 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.
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3:02

### Question 1.3

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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.
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4:15

### Question 1.4

Incorrect. "≠” in Ha indicates that the hypotheses are two-sided.
Correct. "≠” in Ha indicates that the hypotheses are two-sided.
Incorrect. Try again.
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5:55

### Question 1.5

Incorrect. The direction in Ha tells us which tail contains the P-value for the test.
Correct. The direction in Ha tells us which tail contains the P-value for the test.
Incorrect. Try again.
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7:21

### Question 1.6

iHhA4v+40RwJ9JYxRi3isdDjmkCA+lHiYFBD3vFm7DxTBQvMPhQnnARi6omriP1uwdFDdcOJBR2v0l3HPhpKdIuMP5TbYpOzzNrviVf7TzyeYwqTZYZpnwsDW95tutMlovI6kTTxYJ5VmonK5Jfv7dMrAG/5cK5eqY2jLZawaAhSB02JG6doveM63JoEy0bsq474iMKgZq9t6V+Ia/L7B7pCM82Xm1YfnWWpjaO8fAfvWIx3+2fGaVPXuQVoE9bIMF1hlQ==
Incorrect. The research question is “Is the mean for all BYU students less than 6?” So, Ha is “μ < 6.”
Correct. The research question is “Is the mean for all BYU students less than 6?” So, Ha is “μ < 6.”
Incorrect. Try again.
2

11:25

### Question 1.7

0jT4nMW96+OBfPpwPAujAvDpjewF9FomibRmPETpzzMmh+Fv7l51Z+Bm6l94IKt4LioF28fcLOgUg16qw3EJWpLZb5tV9ymuUwtmQDlsD72CJjKDXepPaXeCXxH74bcKDRcwV/VA095OII8RWg4iLgQOno3yQqNrHIap6fByLOPTQXnmphwhihsKpJYh7p07irEBXIX41UqoaV7sqgKslIjrnXUPpqfdUs4imtdWGoAGT3XkRkanLaX2U6ezY8GvK8C9M9cmLJvh5gblN2uaGLL+ZUUwoOgcsF8rfCmRWoAw1DVUuLekl6y4gIQUffRX+ra12fu5XO0x7zwt9ebm1ebMcgNWubG5
Incorrect. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of $$\overline{x}$$.
Correct. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of $$\overline{x}$$.
Incorrect. Try again.
2

### Question 1.8

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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

11:31

### Question 1.9

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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.
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### Question 1.10

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Incorrect. Since P-value = 0.0018 is less than α = 0.10, we reject H0 and we can conclude Ha is correct.
Correct. Since P-value = 0.0018 is less than α = 0.10, we reject H0 and we can conclude Ha is correct.
Incorrect. Try again.
2

11:43

### Question 1.11

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Incorrect. Whenever P-value is less than α we have sufficience evidence to conclude Ha is correct.
Correct. Whenever P-value is less than α we have sufficience evidence to conclude Ha is correct.
Incorrect. Try again.
2

13:43

### Question 1.12

Incorrect. The research question is “Has the training raised the mean above 483?” So, Ha is “μ > 483.”
Correct. The research question is “Has the training raised the mean above 483?” So, Ha is “μ > 483.”
Incorrect. Try again.
2

17:43

### Question 1.13

xInKKv+N6LQlydCDlaZX4C1j/e0mFU4uc03KOyLU2lmsw4FranQFQeCpBwkGCkeqFVHVJZqjrn56J9SYqVCR1Rxfe+2widkCdxkrken5t54sedk6fttp43+J0Z0EyEbDhzrEmTz6nk7KUQ4jnpaSEdRb8XiwHQYyU1cMgbXSgwUnxnJNafD9HS5NS+FZyCG/mcNrABFWdx7VNMHPwbM8rRc9UzQgsoGoZ4Z9fdVeE+BtWp/yTwwVKaF+rfrj6sOZaL0FeauMtHAeY+m1NEIIZ4WOTBrC0oVZnCi4Exf91b30IzD8UtbckP9qXr4c2jePiUeao8pHHJ8R+1YQF6nM8KewnTV1nJ66VIpTxAqgXP0=
Incorrect. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of $$\overline{x}$$.
Correct. The direction specified in Ha tells us which tail in which to find P-value in the sampling distribution of $$\overline{x}$$.
Incorrect. Try again.
2

### Question 1.14

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

17:58

### Question 1.15

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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

### Question 1.16

Incorrect. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Correct. Since P-value = 0.2358 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Incorrect. Try again.
2

18:57

### Question 1.17

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Incorrect. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Correct. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Incorrect. Try again.
2

20:24

### Question 1.18

Incorrect. The research question is “Does the mean differ from 128?” So, Ha is “μ ≠ 128.”
Correct. The research question is “Does the mean differ from 128?” So, Ha is “μ ≠ 128.”
Incorrect. Try again.
2

22:00

### Question 1.19

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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

26:28

### Question 1.20

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Incorrect. The direction specified in Ha tells us which tail(s) in which to find P-value in the sampling distribution of $$\overline{x}$$. Since we have “≠” in Ha, we have a two-sided test and P-value is the area in both tails.
Correct. The direction specified in Ha tells us which tail(s) in which to find P-value in the sampling distribution of $$\overline{x}$$. Since we have “≠” in Ha, we have a two-sided test and P-value is the area in both tails.
Incorrect. Try again.
2

26:45

### Question 1.21

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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

### Question 1.22

Incorrect. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Correct. Since P-value = 0.2758 is NOT less than α = 0.05, we do NOT reject H0 and we cannot conclude Ha is correct.
Incorrect. Try again.
2

27:44

### Question 1.23

Incorrect. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Correct. Whenever P-value is NOT less than α we have insufficience evidence to conclude Ha is correct.
Incorrect. Try again.
2

29:32

### Question 1.24

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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