Solve the below:
Q: How much should a healthy kitten weigh? A healthy 10-week-old (domestic) kitten should weigh an average of mu = 23.5 oz with 95% of data ranging from 13 to 34 oz. Let x be a random variable that represents the weight (in ounces) of a healthy 10-week-old kitten. Assume that x has a distribution that is approximately normal.
μ= mean of all values in a population
a. Estimate the standard deviation of the x distribution. (Hint: Review the empirical rule and SD approximations).
b. What is the probability that a healthy 10-week-old kitten will weigh less than 14 oz?
c. What is the probability that a healthy 10-week-old kitten will weigh more than 33 oz?
d. What is the probability that a healthy 10-week-old kitten will weigh between 14 and 33 oz?
e. A kitten whose weight is in the bottom 10% of the probability distribution of weights is called undernourished. What is the cutoff point for the weight of an undernourished kitten?