Peter spends a lot of time travelling to and from work, and he listens to his new portable CD player during this time. He is going to invest in a big stock of batteries to keep him going, and he is trying to decide whether he should buy NeverShocked batteries or Rudacell batteries.
To begin with, he conducts a test to see if the variation in durability is the same for both battery models. The variance in lifetime of a NeverShocked battery is denoted σ12 and the variance in lifetime of a Rudacell battery is denoted σ22. An F test is conducted with the following hypotheses:
H0: σ12 = σ22
H1: σ12 â‰* σ22
A sample of 25 NeverShocked batteries is collected, and the sample variance in lifetime is measured to be 15.0. A sample of 16 Rudacell batteries is collected, and the sample variance in lifetime is measured to be 11.2. A level of significance of 0.05 is used in this hypothesis test.
a)Calculate the test statistic (f) for these samples. Treat NeverShocked as the numerator variable. Give your answer to 2 decimal places.
f = ???
b)In this test the null hypothesis (is) or (is not) rejected?
can somebody answer this for me? please. my head is bursting
To begin with, he conducts a test to see if the variation in durability is the same for both battery models. The variance in lifetime of a NeverShocked battery is denoted σ12 and the variance in lifetime of a Rudacell battery is denoted σ22. An F test is conducted with the following hypotheses:
H0: σ12 = σ22
H1: σ12 â‰* σ22
A sample of 25 NeverShocked batteries is collected, and the sample variance in lifetime is measured to be 15.0. A sample of 16 Rudacell batteries is collected, and the sample variance in lifetime is measured to be 11.2. A level of significance of 0.05 is used in this hypothesis test.
a)Calculate the test statistic (f) for these samples. Treat NeverShocked as the numerator variable. Give your answer to 2 decimal places.
f = ???
b)In this test the null hypothesis (is) or (is not) rejected?
can somebody answer this for me? please. my head is bursting