Question

1. It is necessary for an automobile producer to estimate the number of miles per gallon (mpg) achieved by its cars. Suppose that the sample mean for a random sample of 50 50 cars is 28.9 28.9 mpg and assume the standard deviation is 3.8 3.8 mpg. Now suppose the car producer wants to test the hypothesis that ? μ , the mean number of miles per gallon, is 28.7 28.7 against the alternative hypothesis that it is not 28.7 28.7 . Conduct a test using a significance level of ?=.05 α = .05 by giving the following: what is

(a) The test statistic (b) The P -value

2.The P-value for a two sided test of the null hypothesis ?0:?=12H0:μ=12 is 0.073.

(a) Does the 95% confidence interval include the value of 1212? (Type Yes or No):  

(b) Does the 90% confidence interval include the value of 1212? (Type Yes or No):

3.Find the probability of throwing a sum of 2 at least 5 times in 9 throws
of a pair of fair dice.

Answer 1

Answer 1a)

The test statistic is 0.372

Answer 1b)

P-value corresponding to t = 0.372 & df = 50-1 = 49 for a two-tailed test is 0.7114 (Obtained using p-value calculator)

The P -value is 0.7114

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