1.Retailers in the last 20 years have had to increase their stock of larger shoe sizes for women. Several well-known shoe brands have been excessively stocking larger sizes and report that their larger sizes nowadays typically sell out first. In an effort to statistically examine this, test if the following random shoe size samples of 10 women in the two age groups show that women's shoe sizes nowadays have increased. Use a 5% level of significance:

Women Born in 1970: 38 36 39 38 36 35 40 37 36 37

Women Born in 1990: 37 38 40 39 38 36 38 40 39 38