A jar of Jif Peanut Butter (labeled as a 32 oz. jar) is selected randomly off of the assembly line, and the weight of the jar is measured. Suppose that jar weights are normally distributed with a mean weight of 32.3 oz. and a standard deviation of 0.40 oz.Now consider a cartoncontaining 24 jars of Jif. Treat these jars as if they are a simple random sample from all jars of Jif. What are the mean and standard deviation of the distribution of xnow? Note that the sample size has been multiplied by 4 when compared to a six-pack. How has the standard deviation changed with the quadrupling of the sample size? m.Do you think it will be more likely or less likely that the mean weight of a carton is less than 32.0 fl oz. than it was for a six-pack? Take into account how the variability of the sampling distribution for a sample of size 24 compares to the variability for a sample of size 6. n.Find the probability the sample mean weight of the 24 jars is less than 32.0 fl oz. Does your answer confirm your guess in part (j)