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Solution Sheets解答用紙

Hypothesis Testing with One Sample1標本による仮説検定

Class Time: __________________________
Name: _____________________________________

授業時間：__________________________ 氏名：_____________________________________

H₀: _______
H₀：_______
H_a: _______
H_a：_______
In words, CLEARLY state what your random variable $\bar{X}$ or $P^{'}$ represents.
確率変数 $\bar{X}$ または $P^{'}$ が何を表すか、言葉で明確に述べよ。
State the distribution to use for the test.
検定で用いる分布を記せ。
What is the test statistic?
検定統計量はいくつか。
What is the p-value? In one or two complete sentences, explain what the p-value means for this problem.
p値はいくらか。この問題におけるp値の意味を、1～2個の完全な文で説明せよ。
Use the previous information to sketch a picture of this situation. CLEARLY, label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
これまでの情報を使って、この状況の概略図を描け。横軸の名称と目盛りを明確に示し、p値に対応する領域を塗りつぶせ。

Copyright Rice University, OpenStax, Introductory Statistics 2e, CC BY 4.0. · CC BY 4.0 · Source出典

Figure E.1図 E.1
Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
正しい判断（帰無仮説を「棄却する」または「棄却しない」）と、その理由を示し、適切な結論を完全な文で記せ。
1. Alpha: _______
  アルファ：_______
2. Decision: _______
  判断：_______
3. Reason for decision: _______
  判断の理由：_______
4. Conclusion: _______
  結論：_______
Construct a 95% confidence interval for the true mean or proportion. Include a sketch of the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval.
真の平均または比率の95%信頼区間を求めよ。状況を表すグラフの概略図も描くこと。点推定値と、信頼区間の下限・上限を示せ。

Copyright Rice University, OpenStax, Introductory Statistics 2e, CC BY 4.0. · CC BY 4.0 · Source出典

Figure E.2図 E.2

Hypothesis Testing with Two Samples2標本による仮説検定

Class Time: __________________________
Name: _____________________________________

授業時間：__________________________ 氏名：_____________________________________

H₀: _______
H₀：_______
H_a: _______
H_a：_______
In words, clearly state what your random variable ${\bar{X}}_{1} - {\bar{X}}_{2}$ , ${P^{'}}_{1} - {P^{'}}_{2}$ or ${\bar{X}}_{d}$ represents.
確率変数 ${\bar{X}}_{1} - {\bar{X}}_{2}$ 、 ${P^{'}}_{1} - {P^{'}}_{2}$ 、または ${\bar{X}}_{d}$ が何を表すか、言葉で明確に述べよ。
State the distribution to use for the test.
検定で用いる分布を記せ。
What is the test statistic?
検定統計量はいくつか。
What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
p値はいくらか。この問題におけるp値の意味を、1～2個の完全な文で説明せよ。
Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
これまでの情報を使って、この状況の概略図を描け。横軸の名称と目盛りを明確に示し、p値に対応する領域を塗りつぶせ。

Copyright Rice University, OpenStax, Introductory Statistics 2e, CC BY 4.0. · CC BY 4.0 · Source出典

Figure E.3図 E.3
Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences.
正しい判断（帰無仮説を「棄却する」または「棄却しない」）と、その理由を示し、適切な結論を完全な文で記せ。
1. Alpha: _______
  アルファ：_______
2. Decision: _______
  判断：_______
3. Reason for decision: _______
  判断の理由：_______
4. Conclusion: _______
  結論：_______
In complete sentences, explain how you determined which distribution to use.
用いる分布をどのように決めたかを、完全な文で説明せよ。

The Chi-Square Distributionカイ二乗分布

Class Time: __________________________
Name: ____________________________________

授業時間：__________________________ 氏名：____________________________________

H₀: _______
H₀：_______
H_a: _______
H_a：_______
What are the degrees of freedom?
自由度はいくらか。
State the distribution to use for the test.
検定で用いる分布を記せ。
What is the test statistic?
検定統計量はいくつか。
What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
p値はいくらか。この問題におけるp値の意味を、1～2個の完全な文で説明せよ。
Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
これまでの情報を使って、この状況の概略図を描け。横軸の名称と目盛りを明確に示し、p値に対応する領域を塗りつぶせ。

Copyright Rice University, OpenStax, Introductory Statistics 2e, CC BY 4.0. · CC BY 4.0 · Source出典

Figure E.4図 E.4
Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
正しい判断（帰無仮説を「棄却する」または「棄却しない」）を示し、適切な結論を完全な文で記せ。
1. Alpha: _______
  アルファ：_______
2. Decision: _______
  判断：_______
3. Reason for decision: _______
  判断の理由：_______
4. Conclusion: _______
  結論：_______

F Distribution and One-Way ANOVAF分布と一元配置分散分析

Class Time: __________________________
Name: ____________________________________

授業時間：__________________________ 氏名：____________________________________

H₀: _______
H₀：_______
H_a: _______
H_a：_______
df(n) = ______ df(d) = _______
State the distribution to use for the test.
検定で用いる分布を記せ。
What is the test statistic?
検定統計量はいくつか。
What is the p-value?
p値はいくつか。
Use the previous information to sketch a picture of this situation. Clearly label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
これまでの情報を使って、この状況の概略図を描け。横軸の名称と目盛りを明確に示し、p値に対応する領域を塗りつぶせ。

Copyright Rice University, OpenStax, Introductory Statistics 2e, CC BY 4.0. · CC BY 4.0 · Source出典

Figure E.5図 E.5
Indicate the correct decision (“reject” or “do not reject” the null hypothesis) and write appropriate conclusions, using complete sentences.
正しい判断（帰無仮説を「棄却する」または「棄却しない」）を示し、適切な結論を完全な文で記せ。
1. Alpha: _______
  アルファ：_______
2. Decision: _______
  判断：_______
3. Reason for decision: _______
  判断の理由：_______
4. Conclusion: _______
  結論：_______