For each scenario listed below, determine whether the scenario represents an Independent Samples or Dependent Samples (Matched Pairs) situation by placing the appropriate letter in the box provided.
a. Comparing the daily high temperatures in Los Angeles and San Diego for each day of the summer:
Matched Pairs
Independent Samples
b. Comparing the number of times 50 students in California and 50 Students in Texas ate out in restaurants last year:
Matched Pairs
Independent Samples
c. Comparing revenue at a bike shop in March and in September:
Independent Samples
Matched Pairs
d. Comparing the calories consumed by 50 people for breakfast and for dinner:
Independent Samples
Matched Pairs
Answer
Final Answer: a. \(\boxed{\text{Matched Pairs}}\) b. \(\boxed{\text{Independent Samples}}\) c. \(\boxed{\text{Matched Pairs}}\) d. \(\boxed{\text{Matched Pairs}}\)
Step 1 ：This question is about understanding the difference between independent samples and dependent samples (matched pairs) in statistics.
Step 2 ：The daily high temperatures in Los Angeles and San Diego for each day of the summer are dependent samples because the temperature in one city on a particular day could be related to the temperature in the other city on the same day. So, this is a Matched Pairs scenario.
Step 3 ：The number of times 50 students in California and 50 Students in Texas ate out in restaurants last year are independent samples because the eating habits of students in one state are not related to the eating habits of students in the other state. So, this is an Independent Samples scenario.
Step 4 ：The revenue at a bike shop in March and in September are dependent samples because the revenue in one month could be related to the revenue in the other month. So, this is a Matched Pairs scenario.
Step 5 ：The calories consumed by 50 people for breakfast and for dinner are dependent samples because the amount of calories a person consumes for breakfast could be related to the amount of calories they consume for dinner. So, this is a Matched Pairs scenario.
Step 6 ：Final Answer: a. \(\boxed{\text{Matched Pairs}}\) b. \(\boxed{\text{Independent Samples}}\) c. \(\boxed{\text{Matched Pairs}}\) d. \(\boxed{\text{Matched Pairs}}\)
