第8章信頼区間

8.5 Confidence Interval (Place of Birth)8.5　信頼区間（出生地）

Statistics Lab統計の実習

Class Time:

授業時間：

Names:

氏名：

The student will calculate the 90% confidence interval the proportion of students in this school who were born in this state.
この学校の学生のうち、この州で生まれた人の比率の90%信頼区間を計算する。
The student will interpret confidence intervals.
信頼区間を解釈する。
The student will determine the effects of changing conditions on the confidence interval.
条件の変更が信頼区間に及ぼす影響を調べる。

Survey the students in your class, asking them if they were born in this state. Let X = the number that were born in this state.
クラスの学生に、この州で生まれたかを尋ねて調査せよ。X = この州で生まれた人数とする。
1. n = ____________
2. x = ____________
In words, define the random variable P′.
確率変数P′を言葉で定義せよ。
State the estimated distribution to use.
使う推定分布を示せ。

Calculate the confidence interval and the error bound.
信頼区間と誤差限界を計算せよ。
1. Confidence Interval: _____
  信頼区間：_____
2. Error Bound: _____
  誤差限界：_____
How much area is in both tails (combined)? α = _____
両裾の面積の合計はいくらか。α = _____
How much area is in each tail? $\frac{α}{2}$ = _____
各裾の面積はいくらか。 $\frac{α}{2}$ = _____
Fill in the blanks on the graph with the area in each section. Then, fill in the number line with the upper and lower limits of the confidence interval and the sample proportion.
グラフの空欄に各部分の面積を記入し、次に数直線へ信頼区間の上限と下限、標本比率を記入せよ。

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

Figure 8.21図 8.21

In two to three complete sentences, explain what a confidence interval means (in general), as though you were talking to someone who has not taken statistics.
統計学を学んだことのない人に話すつもりで、信頼区間の一般的な意味を、2～3個の完結した文で説明せよ。
In one to two complete sentences, explain what this confidence interval means for this particular study.
今回の調査でこの信頼区間が何を意味するかを、1～2個の完結した文で説明せよ。
Construct a confidence interval for each confidence level given.
指定されたそれぞれの信頼水準の信頼区間を作れ。

Confidence level
信頼水準

EBP/Error Bound
EBP／誤差限界

Confidence Interval
信頼区間

50%

80%

95%

99%

Table 8.11表 8.11
What happens to the EBP as the confidence level increases? Does the width of the confidence interval increase or decrease? Explain why this happens.
信頼水準が上がるとEBPはどうなるか。信頼区間の幅は広がるか、狭まるか。その理由を説明せよ。