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?
68 80 39 65 44 20 62 61
64 49 63 70 97 90 65
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: Define Null Hypothesis

The null hypothesis \( H_0 \) is a statement of no effect or no difference. Here, we are testing the claim that the population mean is equal to 60 seconds. So, \( H_0: \mu = 60 \).

Step2: Define Alternative Hypothesis

The alternative hypothesis \( H_1 \) is what we might believe if we reject the null hypothesis. Since we are testing if the mean is equal to 60 (a two - tailed test, as there's no indication of a direction like greater than or less than in the claim about being "reasonably good" - we just want to see if it's different from 60), the alternative hypothesis is \( H_1: \mu
eq 60 \).

Answer:

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