A recent study done by the National Retail Federation found that 2021 back-to-school spending for all US households who have school-aged children follows a Normal distribution with mean $753 and a standard deviation $108. Use this information to answer the following questions.

What is the proportion of 2021 back-to-school spending within 1.62 standard deviations of the mean? Answer this question by completing parts 2(g)i. through 2(g)iii. i. Provide the SMALLER zscore corresponding to the above statement. ii. Provide the LARGER zscore corresponding to the above statement. iii. Based on your answers in 2(g)i and 2(g)ii, what proportion of 2021 back-to-school spending is within 1.62 standard deviations of the mean?

What is the 2021 back-to-school spending amount such that only 1.7% of households with school-age children spend more than this amount? i. Provide the zscore corresponding to the top 1.7%. ii. Based on your answer in 2(h)i, provide the spending amount such that only 1.7% of households with school-age children spend more than this amount?