What dollar amount should someone spend on a Valentine€™s Day gift for you? The results found by a Greenfield Online survey of 653 respondents are pictured in the accompanying graphic. Random samples were selected in central New York State with the following results.

a. Construct a histogram and find the mean and standard deviation for each set of central New York State data.
b. Do the shapes of €œamounts spent€ suggested by males and females in central New York State appear to be similar in shape? Center? Spread? Discuss your responses.
c. Is it possible that both of the samples were drawn from normal populations? Justify your answer.
d. Is the mean amount stated by women statistically greater than the mean amount stated by men? Use a = 0.05
e. Is there sufficient evidence to show that the standard deviations of these two samples are statistically different? Use a = 0.05.
f. Explain how your answers to parts b€“e now affect your thoughts about your answer to part a.

Men 103 100 100 67 77 63 55 43 139 2 5 5 100 52 139 86 23 56 40 84 15 32 157 35 4 24 102 52 43 75 128 206 16 13 98 Women 36 5 77 97 25 62 91 170 108 112 198 161 54 40 111 107 241 89 37 10 175 10 84 102 17 32 25 38 126 121 30 147 135 45 230 29 88