Show all the steps of One-Sample Hypothesis Testing 1. A researcher wishes to see if the mean number of days that a basic, low-price, small automobile
sits on a dealer's lot is 29. A sample of 30 automobile dealers has a mean of 30.1 days for basic,
low-price, small automobiles.
At alpha of 0.05 (z=1.65; critical value), test the claim that the mean time is greater than 29 days.
The Standard deviation of the population is 3.8 days.
2.25 high school students complete a preparation program for taking the SAT test. The mean of
these scores is 536.00. We know that the population average for SAT scores is 500 with a
standard deviation of 100.
The question is, are these students' SAT scores (M = 536) significantly greater than a population
mean of 500 with a population standard deviation of 100? Note that the maker of the SAT prep
program claims that it will increase (and not decrease) your SAT score. So, you would be justified
in conducting a one-directional test. (alpha = .05; z=1.65).