STAT1070 Normal Distribution

STAT1070 Normal Distribution.

Market research has indicated that customers are likely to bypass Roma tomatoes that weigh less than 70 grams. A produce company produces Roma tomatoes that average 78.0 grams with a standard deviation of 5.2 grams.

(a) [2 marks] Assuming that the normal distribution is a reasonable model for the weights of these tomatoes, what proportion of Roma tomatoes are currently undersize (less than 70g)? 

(b) [2 marks] How much must a Roma tomato weigh to be among the heaviest 20%? 

Save your time - order a paper!

Get your paper written from scratch within the tight deadline. Our service is a reliable solution to all your troubles. Place an order on any task and we will take care of it. You won’t have to worry about the quality and deadlines

Order Paper Now

(c) [2 marks] The aim of the current research is to reduce the proportion of undersized tomatoes to no more than 2%. One way of reducing this proportion is to reduce the standard deviation. If the average size of the tomatoes remains 78.0 grams, what must the target standard deviation be to achieve the 2% goal?

(d) [3 marks] The company claims that the goal of 2% undersized tomatoes is reached. To test this, a random sample of 20 tomatoes is taken. What is the distribution of the number of undersized tomatoes in this sample if the company’s claim is true? Explain your reasoning. 

STAT1070 Normal Distribution

"If this is not the paper you were searching for, you can order your 100% plagiarism free, professional written paper now!"

"Do you have an upcoming essay or assignment due?

Get any topic done in as little as 6 hours

If yes Order Similar Paper

All of our assignments are originally produced, unique, and free of plagiarism.