An online used car company sells second-hand cars. For 30 randomly selected transactions, the mean price is 2000 dollars.
Part a) Assuming a population standard
deviation transaction prices of 190 dollars, obtain a 99%
confidence interval for the mean price of all transactions. Please
carry at least three decimal places in intermediate steps. Give
your final answer to the nearest two decimal places.
Confidence interval: (. , )
For each situation, state the null and alternative hypotheses: (Type "mu" for the symbol ?μ , e.g. mu >> 1 for the mean is greater than 1, mu << 1 for the mean is less than 1, mu not = 1 for the mean is not equal to 1. Please do not include units such as "mm" or "$" in your answer.)
(a) The diameter of a spindle in a small motor is supposed to be
4.5 millimeters (mm) with a standard deviation of 0.1 mm. If the
spindle is either too small or too large, the motor will not work
properly. The manufacturer measures the diameter in a sample of 9
spindles to determine whether the mean diameter has moved away from
the required measurement. Suppose the sample has an average
diameter of 4.6 mm.
?0 :
??:
(b) Harry thinks that prices in Caldwell are higher than the
rest of the country. He reads that the nationwide average price of
a certain brand of laundry detergent is $23.05 with standard
deviation $1.79. He takes a sample from 4 local Caldwell stores and
finds the average price for this same brand of detergent is
$20.25.
?0 :
?? :
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