A study was conducted to investigate whether the mean reaction time of drivers who are talking on mobile phones is the same as the mean reaction time of drivers who are talking to passengers in the vehicle. Two independent groups were randomly selected for the study. To gather data, each driver was put in a car simulator and asked to either talk on a mobile phone or talk to a passenger. Each driver was instructed to apply the brakes as soon as they saw a red light appear in front of the car. The reaction times of the drivers, in seconds, were recorded, as shown in the following table. | Talking on mobile phone | Talking to passenger | | :---: | :---: | | 0.69 | 0.67 | | 0.87 | 0.86 | | 0.98 | 0.60 | | 1.04 | 0.81 | | 0.79 | 0.76 | | 0.87 | 0.71 | | 0.71 | 0.74 | At the 10% level of significance, a t-test was used to compare the mean reaction times of the two groups. Each data set is assumed to be normally distributed, and the population variances are assumed to be the same. Let μ₁ and μ₂ be the population means for the two groups. The null hypothesis for this test is H₀: μ₁ - μ₂ = 0.
State the alternative hypothesis.
A1 Note: Accept an equivalent statement in words, however reference to "population mean" must be explicit for to be awarded.
Calculate the p-value for this test.
Note: Award A1 for an answer of from not using a pooled estimate of the variance.
State the conclusion of the test. Justify your answer.
reject the null hypothesis A1 Note: Do not award R0A1.
State what your conclusion means in context.
