At a local university, a sample of 25 evening students was selected in order to determine whether the average age of the evening students is significantly different from 21. the average age of the students in the sample was 23 with a standard deviation of 3.5. the population standard deviation is unknown (hint: use t-test with n-1 df). let a= 0.05
formulate the hypotheses for this problem.\
compute the test statistic.
determine the p-value and test these hypotheses.
compute the critical values and indicate them on t-distribution curve.

The amount of energy it takes to lift a box might be a function of which of the following

Part one: measurements 1. measure your own height and arm span (from finger-tip to finger-tip) in inches. you will likely need some from a parent, guardian, or sibling to get accurate measurements. record your measurements on the "data record" document. use the "data record" to you complete part two of this project. name relationship to student x height in inches y arm span in inches archie dad 72 72 ginelle mom 65 66 sarah sister 64 65 meleah sister 66 3/4 67 rachel sister 53 1/2 53 emily auntie 66 1/2 66 hannah myself 66 1/2 69 part two: representation of data with plots 1. using graphing software of your choice, create a scatter plot of your data. predict the line of best fit, and sketch it on your graph. part three: the line of best fit include your scatter plot and the answers to the following questions in your word processing document 1. 1. which variable did you plot on the x-axis, and which variable did you plot on the y-axis? explain why you assigned the variables in that way. 2. write the equation of the line of best fit using the slope-intercept formula $y = mx + b$. show all your work, including the points used to determine the slope and how the equation was determined. 3. what does the slope of the line represent within the context of your graph? what does the y-intercept represent? 5. use the line of best fit to you to describe the data correlation.

Solve 2^x=32 and rewrite this equation in a logarithmic form