교과서 질문
In Exercises 29–34, find the critical value(s) and rejection region(s) for the type of t-test with level of significance α and sample size n.
Two-tailed test, α=0.02, n=12
97
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Ch. 7 - Hypothesis Testing with One Sample
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470
당신이 사용하는 게 아니라요?교과서 변경다른 교과서를 선택하세요
TOC.tableOfContents
- Ch. 1 - Introduction to Statistics87
- Ch. 2 - Descriptive Statistics176
- Ch. 3 - Probability184
- Ch. 4 - Discrete Probability Distributions102
- Ch. 5 - Normal Probability Distributions183
- Ch. 6 - Confidence Intervals154
- Ch. 7 - Hypothesis Testing with One Sample165
- Ch. 8 - Hypothesis Testing with Two Samples134
- Ch. 9 - Correlation and Regression87
- Ch. 10 - Chi-Square Tests and the F-Distribution87
Larson8th EditionElementary Statistics: Picturing the WorldISBN: 9780137493470당신이 사용하는 게 아니라요?교과서 변경
7장, 문제 7.RE.1
n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.
μ ≤ 375
검증된 단계별 안내1
Understand the claim: The claim is that the population mean (μ) is less than or equal to 375. This will help us determine the null hypothesis (H0) and the alternative hypothesis (Ha).
Write the complement of the claim: The complement of 'μ ≤ 375' is 'μ > 375'. This is because the complement of 'less than or equal to' is 'greater than'.
Identify the null hypothesis (H0): The null hypothesis always includes the equality part of the claim. Therefore, H0: μ ≤ 375.
Identify the alternative hypothesis (Ha): The alternative hypothesis is the complement of the null hypothesis. Therefore, Ha: μ > 375.
Summarize the hypotheses: H0: μ ≤ 375 (the claim), and Ha: μ > 375 (the complement). These hypotheses will be used for statistical testing.
비슷한 문제에 대한 검증된 영상 답변:
이 영상 해법은 위 문제에 도움이 된다고 튜터들이 추천한 것입니다.
영상 길이:
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주요 개념
질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.
Null Hypothesis (H0)
The null hypothesis (H0) is a statement that indicates no effect or no difference, serving as a default position in statistical testing. In this case, H0 states that the population mean (μ) is less than or equal to 375, suggesting that any observed effect is due to sampling variability rather than a true effect.
추천 영상:
06:21
Step 1: Write Hypotheses
Alternative Hypothesis (Ha)
The alternative hypothesis (Ha) represents the claim that contradicts the null hypothesis, indicating the presence of an effect or difference. For the given statement, Ha would be μ > 375, suggesting that the population mean is greater than 375, which is what the researcher aims to provide evidence for.
추천 영상:
06:21Step 1: Write Hypotheses
Complement of a Statement
The complement of a statement refers to the opposite of that statement. In hypothesis testing, if the null hypothesis is μ ≤ 375, its complement would be μ > 375. Understanding the complement is crucial for formulating the alternative hypothesis and interpreting the results of statistical tests.
추천 영상:
4:23Complementary Events
관련 실천
교과서 질문
n Exercises 1–6, the statement represents a claim. Write its complement and state which is H0 and which is Ha.
p < 0.205
30
views
교과서 질문
In Exercises 29–34, find the critical value(s) and rejection region(s) for the type of t-test with level of significance α and sample size n.
Left-tailed test, α=0.05, n=15
77
views
교과서 질문
In Exercises 55–58, test the claim about the population variance or standard deviation at the level of significance . Assume the population is normally distributed.
Claim: σ^2 > 2; α=0.10. Sample statistics: s^2 = 2.95, n=18
72
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교과서 질문
In Exercises 51–54, find the critical value(s) and rejection region(s) for the type of chi-square test with sample size n and level of significance.
Left-tailed test, n=6, α=0.05
103
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교과서 질문
In Exercises 7–10, (c) explain whether the hypothesis test is left-tailed, right-tailed, or two-tailed.
An energy bar maker claims that the mean number of grams of carbohydrates in one bar is less than 25.
70
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