In: Statistics and Probability
The useful life of a video camera is stated to be 6 years on average, with a standard deviation of 0.75 years. A sample of the lifespan of 30 televisions had a standard deviation of 1.2 years. If the life times of televisions have a normal distribution. Create a hypothesis test that can be used to determine if the standard deviation of the useful life of televisions is considerably greater than that of video cameras. With a significance level of 0.05. Conclude if the hypothesis is rejected or accepted and define the Ho and Ha clearly.
Let denotes the standard deviation of the useful life of televisions.
There is sufficient evidence to support the claim that the standard deviation of the useful life of televisions is considerably greater than that of video cameras.