Choosing the Appropriate Inference Procedure — Quiz
Question 5 • Statistics
A biologist wants to determine if temperature affects the growth of plants. He randomly assigns 90 plants to the treatment groups, 20 times degree C or 35 times degree C After three months, he measures the weights of the plants and calculates the difference in mean weight of the plants for each temperature open paren 35 times degree C minus 20 times degree C close paren What is the appropriate inference procedure?
Answer
A
one-sample t -interval for mu sub d i f f
B
two-sample t -interval for mu sub 35 times degree C minus mu sub 20 times degree C
C
one-sample t -interval for mu
D
two-sample z - interval for p sub 35 times degree C minus p sub 20 times degree C
Explanation
The biologist randomly assigns different plants to two independent temperature groups, then measures each plant’s weight, a quantitative variable. The goal is to estimate the difference between the two population mean weights, μ₃₅°C − μ₂₀°C, so the appropriate procedure is a two-sample t-interval. A paired t-interval would require matched plants or repeated measurements on the same plants.
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