Cake manufacturer Little Divas wants to increase theshelf life of its easy-to-fi

Cake manufacturer Little Divas wants to increase theshelf life of its easy-to-fix cupcake mixes. Companys recordsindicate that the average shelf life of the mix is 230 days. A newimproved cupcake mix was developed and a sample of 10 boxes of thecupcake mix had these shelf lives (in days): 231 233 232 233228 231 234 229 235 and 232. If the standard deviation was .67and at the 0.025 significant level has the shelf life of thecupcake mix increased?