Q:

The average US woman wears 515 chemicals on an average day from her makeup and toiletries. A random sample from California found that on average the California woman wears 325 chemicals per day with a standard deviation of 90.5.Which hypothesis test should be used to determine whether the sample contains less than the US average of wearing 515 chemicals per day?a. t-test for the population meanb. z-test for the population meanc. z-test for the population proportiond. t-test for the population proportion

Accepted Solution

A:
Answer:a. t-test for the population meanStep-by-step explanation:given that the average US woman wears 515 chemicals on an average day from her makeup and toiletriesA random sample from California found that on average the California woman wears 325 chemicals per day with a standard deviation of 90.5.Note that here we have only sample std deviation and not population.So better to use t test here.Sample size is not given so whatever be the sample size here t test would be more appropriate.Here we are testing for mean.  So the correct answer isa. t-test for the population mean