Q.3.4 - The Practice of Statistics for AP

Question

Interpret your interval in context. 

Step-by-Step Solution

Answer

There is $95\%$ probability that the mean healing rate is between $22.38$ and $29.962 .$

Step 1: Given information

Given in the question that, Biologists studying the healing of skin wounds measured the rate at which new cells closed a cut made in the skin of an anesthetized newt. Here are data from a random sample of  $18$newts, measured in micrometers (millionths of a meter) per hour:

$20 29 27 34 40 22 28 14 35 26 35 12 30 23 18 11 22 23 33$

Step 2: Explanation

The given dataset is

$29$

$27$

$34$

$40$

$22$

$28$

$14$

$35$

$26$

$35$

$12$

$30$

$23$

$18$

$11$

$22$

$23$

$33$

The confidence interval is $(22.338,29.962)$.

The confidence interval displays the probability for the range of the population parameter in which the parameter is probably going to fall in. There is $95\%$ probability that the mean healing rate is somewhere in the range of$22.38$ and $29.962 .$