Question

students estimated the length of one minute without reference to a watch or clock, and the times (seconds) are listed below. assume that a simple random sample has been selected. use a 0.10 significance level to test the claim that these times are from a population with a mean equal to 60 seconds. does it appear that students are reasonably good at estimating one minute?
67 80 40 64 41 10 62 51 56 47 64 72 05 01 64
perform the test assuming that the requirements are met. identify the null and alternative hypotheses.
h₀
h₁
(type integers or decimals. do not round.)

Explanation:

Step1: Understand the claim

The claim is that the mean of the population is equal to 60 seconds.

Step2: Define null hypothesis

The null hypothesis \(H_0\) is the statement of equality. So \(H_0:\mu = 60\).

Step3: Define alternative hypothesis

The alternative hypothesis \(H_1\) is the statement that contradicts the null hypothesis. Since we are testing if the mean is different from 60 (a two - tailed test), \(H_1:\mu
eq60\).

Answer:

\(H_0:\mu = 60\)
\(H_1:\mu
eq60\)