The milage of a certain make of car may not be exactly as advertised by the manu

Question

The milage of a certain make of car may not be exactly as advertised by the manufacturer. Suppose ten cars of the same model were tested for combined city and highway milage, with the following results (mpg): 35, 40, 37,42, 32, 43, 38, 32,41,3. (a) Estimate the sample mean and standard deviation. (b) Based on these measurements, determine the 95% confidence interval of (c) Suppose the manufacturer claims that the gas milage of the car is 35mpg. Do you trust their claim based on your data? Why or why not'?

Explanation / Answer

Ans:

a)

b)

critical t value for 95% CI and df=10-1=9 is 2.262

95% confidence interval for mean

=37.4+/-2.262*4.061/sqrt(10)

=37.4+/-2.905

=(34.495,40.305)

c)As,CI includes 35 within limits,so we can trust their claim based on above data.

1 35 2 40 3 37 4 42 5 32 6 43 7 38 8 32 9 41 10 34 mean 37.400 std dev.= 4.061

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