To compare the average producing time of two firms about a specific product in a handicraft

manufacturing company, two random samples from these firms were tested. The random sample

of $70$ products produced by firm $1$ shows an average producing time of $20\mathrm{.}7$ hours and a standard

deviation of $5$ hours. A total producing time of $195$ hours and a sample variance is $7$ hours are

recorded for the random sample of $9$ products from firm $2.$ Assume that the producing time of each

firm follows a normal distribution. Can we conclude that firm $1$ can produce that specific product

faster than firm $2?$

Notes: Below are some upper quantiles for some Student distributions.