Two Means - Known Variance: Videos & Practice Problems

A nutritionist wants to compare the average sodium content (in $\text{mg}$) of two brands of canned soup. She randomly selects $40$ cans from brand A and $40$ cans from brand B. The mean sodium content for brand A is $820$ $\text{mg}$ with a population standard deviation of $45$ $\text{mg}$. The mean sodium content for brand B is $805$ $\text{mg}$ with a population standard deviation of $38$ $\text{mg}$. At $\alpha =0.05$, can the nutritionist support the claim that the mean sodium content of brand A is greater than that of brand B?