Question

A group of students estimated the length of one minute without reference to a watch or​ clock, and the times​ (seconds) are listed below. Use a 0.05 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? 78 88 50 75 52 36 68 70 75 55 73 82 104 100 73

Answer 1

= 71.93

s = 18.34

H₀: = 60

H₁: 60

The test statistic t = ()/(s/)

                            = (71.93 - 60)/(18.34/)

                            = 2.52

At alpha = 0.05, the critical values are t_{0.025, 14} = +/- 2.145

Since the test statistic value is greater than the upper critical value (2.52 > 2.145), so we should reject the null hypothesis.

So at 0.05 significance level there is not sufficient evidence to support the claim that the population mean is equal to 60 seconds.