# Chapter 1. The Reasoning of Tests of Significance

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Stat Tutor
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4:12

### Question 1.1

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Incorrect. Relatively speaking, $$\overline{x}$$ = 16.3 is "significantly far" from µ = 16. Thus, the probability is "very small."
Correct. Relatively speaking, $$\overline{x}$$ = 16.3 is "significantly far" from µ = 16. Thus, the probability is "very small."
Incorrect. Try again.
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### Question 1.2

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Incorrect. Since the observed sample statistic ($$\overline{x}$$ = 16.3) would rarely happen if µ were 16 ounces, we have evidence to say that µ is not 16 ounces.
Correct. Since the observed sample statistic ($$\overline{x}$$ = 16.3) would rarely happen if µ were 16 ounces, we have evidence to say that µ is not 16 ounces.
Incorrect. Try again.
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5:14

### Question 1.3

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Incorrect. Relatively speaking, $$\overline{x}$$ = 16.1 is "NOT significantly far" from µ = 16. Thus, the probability is "High."
Correct. Relatively speaking, $$\overline{x}$$ = 16.1 is "NOT significantly far" from µ = 16. Thus, the probability is "High."
Incorrect. Try again.
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### Question 1.4

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Incorrect. Since the observed sample statistic ($$\overline{x}$$ = 16.1) could likely happen if µ were 16 ounces, we do NOT have evidence to say that µ is not 16 ounces.
Correct. Since the observed sample statistic ($$\overline{x}$$ = 16.1) could likely happen if µ were 16 ounces, we do NOT have evidence to say that µ is not 16 ounces.
Incorrect. Try again.
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7:18

### Question 1.5

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Incorrect. Actually, we look at the probability that "he would send roses" IF "he loves me NOT." Because this probability is very small, it contradicts the belief that "he loves me NOT," allowing us to conclude that "he loves me."
Correct. Actually, we look at the probability that "he would send roses" IF "he loves me NOT." Because this probability is very small, it contradicts the belief that "he loves me NOT," allowing us to conclude that "he loves me."
Incorrect. Try again.
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