The amount of syrup that people put on their pancakes is
normally distributed with mean 55...
90.2K
Verified Solution
Link Copied!
Question
Statistics
The amount of syrup that people put on their pancakes isnormally distributed with mean 55 mL and standard deviation 11 mL.Suppose that 17 randomly selected people are observed pouring syrupon their pancakes. Round all answers to 4 decimal places wherepossible.
What is the distribution of XX? XX ~ N(,)
What is the distribution of ¯xx¯? ¯xx¯ ~ N(,)
If a single randomly selected individual is observed, find theprobability that this person consumes is between 53.5 mL and 56.5mL.
For the group of 17 pancake eaters, find the probability thatthe average amount of syrup is between 53.5 mL and 56.5 mL.
For part d), is the assumption that the distribution is normalnecessary? YesNo
Answer & Explanation
Solved by verified expert
4.3 Ratings (924 Votes)
Let X be the amount of syrup put on the pancakes by a randomlyselected person We know that X is normally distributed with mean and standarddeviation a The distribution of X can be written asans b Let be thesample mean of a randomly selected sample of size n17
See Answer
Get Answers to Unlimited Questions
Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!
Membership Benefits:
Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
