Math  /  Data & Statistics

Questionter 9 Homework Question 5, 9.2.1
Determine whether the samples are independent or dependent. A data set includes the morning and evening temperature for the last 120 days.
Choose the correct answer below. A. The samples are dependent because there is not a natural pairing between the two samples, B. The samples are independent because there is not a natural pairing between the two samples. C. The samples are independent because there is a natural pairing between the two samples. D. The samples are dependent because there is a natural pairing between the two samples.

Studdy Solution

STEP 1

1. We have two samples: morning temperatures and evening temperatures for the last 120 days.
2. We need to determine if there is a natural pairing between the two samples.

STEP 2

1. Define what constitutes independent and dependent samples.
2. Analyze the relationship between the samples.
3. Choose the correct answer based on the analysis.

STEP 3

Define independent samples: Independent samples are those where the data points in one sample do not correspond to data points in the other sample.
Define dependent samples: Dependent samples are those where there is a natural pairing between the data points in one sample and the data points in the other sample.

STEP 4

Analyze the relationship: Each morning temperature corresponds to an evening temperature on the same day. Thus, there is a natural pairing between the morning and evening temperatures for each day.

STEP 5

Based on the analysis, the samples are dependent because there is a natural pairing between the morning and evening temperatures for each day.
The correct answer is:
D. The samples are dependent because there is a natural pairing between the two samples. \text{D. The samples are dependent because there is a natural pairing between the two samples.}

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