At her company, Dylan wants to compare the average productiv…

At her company, Dylan wants to compare the average productivity of employees using a new generative AI tool versus those using traditional methods. They collect productivity data from two independent samples: one group using the AI tool (A) and another using traditional methods (T). She believes that those who use the AI tool will be faster to complete the assignment. The number of tasks completed in one hour is measured. What are the null and alternative hypotheses for the two-sample t-test in this scenario? 

An office manager wanted to know if the average expenditure…

An office manager wanted to know if the average expenditure on office supplies per month was more than 170 dollars. She took a random sample of 12 months. The sample average expenditure was 150 dollars.  What would be the appropriate null and alternative hypothesis?

In the year 2000, General Social Survey respondents were ask…

In the year 2000, General Social Survey respondents were asked “How many hours did they spend on their personnel computer per week?”. The researchers were interested in seeing if married people (group 2) spent less time on their personnel computer than those who have never been married (group 1).  For this hypothesis (Ho: mu2 – mu1 = 0 vs. Ha: mu2 – mu1 < 0), the p-value was 0.0007. Interpret.   With a p-value of 0.0007, the researcher has [word1] statistically significant evidence that the [word2] mean of married who spend time on their personnel computer per week is [word3] than unmarried people.

Paloma wanted to predict sale prices for houses in Pierce Co…

Paloma wanted to predict sale prices for houses in Pierce County, Washington, based on house square footage and year built. She took a random sample of houses for sale in 2023.  Conduct an overall F test to determine whether these variables help predict sale price. Do not include screenshots from JMP. Include the model, parameters, hypotheses, test statistic, p-value, and conclusion. Use alpha = 0.05. Use the data set posted here:PierceCounty_Spring2023.xlsx You don’t have to show the checking of assumptions. (However, if you notice something off with assumptions, complete the problem anyway.)