Student researchers wanted to explore whether a person’s ability to memorize objects is affected by whether they are shown the objects in pictures that are in color or pictures in black and white. The researchers printed out pictures of 10 objects, where 5 were in color and 5 were in black and white. The 50 subjects each had 15 seconds to look at the pictures and then had to write down as many as they could remember. The results for the number of objects they could recall are in the file PicturesColor. 

a. Put the data into the Matched Pairs applet. Which condition had a larger mean number of objects remembered? 

b. Based on the distribution of differences, does it appear that there is a significant difference in the number of objects remembered between the two conditions? Explain how you are deciding. 

c. State the hypotheses either in words or using appropriate symbols. 

d. What is the t-statistic for the mean difference? Based on the t-statistic, is there strong evidence that there is a difference, on average, in the number of objects people can recall when shown pictures in color compared to when shown pictures in black and white? Explain how you are deciding. 

e. Determine a theory-based p-value. Based on the p-value, is there strong evidence that there is a difference, on average, in the number of objects people can recall when shown pictures in color compared to when shown pictures in black and white? Explain how you are deciding.