Question

You are interested in business size and self employment trends by gender. You get data from a nationally representative survey. Your research question is: Do male business owners have more employees than female business owners? You have data from a random sample of 168 male business owners, who have a mean of 4.43 employees and a standard deviation of 15.167. You also have data from a random sample of 126 female business owners, whohave a mean of 2.56 employees and a standard deviation of 10.277. Conduct an independent t-test. Calculate the t-statistic. In the space below write in the numerical value of the calculated t-statistic

Answer 1

To conduct an independent t-test to compare the mean number of employees between male and female business owners, we need to calculate the t-statistic. The t-statistic can be calculated as 1.235.

Step-by-step explanation:

To conduct an independent t-test to compare the mean number of employees between male and female business owners, we need to calculate the t-statistic. The formula for the t-statistic in this case is:

t = (mean(male) - mean(female)) / sqrt((sd(male)^2/n_male) + (sd(female)^2/n_female))

Given the data, the t-statistic can be calculated as: t = (4.43 - 2.56) / sqrt((15.167^2/168) + (10.277^2/126)) = 1.235