Marshmallow precision is important in the production of Lucky Charms. In an 11.5-ounce box, General Mills claims that there are supposed to be 300 marshmallows on average. Due to some recent negative reviews, the company wants to check this specification by randomly selecting 55 boxes from the assembly line. The sample produced a mean of 287 and a standard deviation of 35. Find a 90% confidence interval for the mean marshmallow count in an 11.5 oz box of Lucky Charms. Be sure to interpret your interval within context of the problem. The confidence interval for the mean in (279.24, 294.76). This interval shows that the average number of marshmallows is less than the 300. Conduct a hypothesis test at the 0.05 significance level as to whether the mean marshmallow count differs from 300. Provide the: H0,Ha, test statistic, and approximate P-value. Interpret your decision in the context of the claim. Does your confidence interval in question 1 support or contradict your decision in question 2? Explain