In a recent survey, 20 people from Ventura were asked how long it took to commute to various work sites in Santa Barbara. The sample mean one-way commute time was 46.4 minutes with a. standard deviation of 9.15 minutes. A math professor claims that the drive time is less than 40 minutes. Using a 5% level of significance and a complete test of hypothesis, is there support for the math professors claim? You may assume the population of drive times is approximately normally distributed. a. Symbolically, state the null and alternative hypothesis and state which is the claim. b. Calculate the standardized test statistic. Show a filled-out formula. c. Find either the critical values and identify the rejection regions or find the p-value. Also, decide whether to reject or fail to reject the null hypothesis and state the reason why.
In a recent survey, 20 people from Ventura were asked how long it took to commute to various work sites in Santa Barbara. The sample mean one-way commute time was 46.4 minutes with a. standard deviation of 9.15 minutes. A math professor claims that the drive time is less than 40 minutes. Using a 5% level of significance and a complete test of hypothesis, is there support for the math professors claim? You may assume the population of drive times is approximately
a. Symbolically, state the null and alternative hypothesis and state which is the claim.
b. Calculate the standardized test statistic. Show a filled-out formula.
c. Find either the critical values and identify the rejection regions or find the p-value. Also, decide whether to reject or fail to reject the null hypothesis and state the reason why.
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