Applying central limit theorem to find probability

Assignment Help Basic Statistics
Reference no: EM1399373

An orange juice producer buys only one kind of oranges. The amount of juice squeezed from each of these oranges is approximately normally distributed with a mean of 4.2 ounces and a population standard deviation of 1 ounce. If a sample of 100 oranges is selected:

(a) What is the probability that the average juice squeezed is less than 4.15 ounces?

(b) What is the probability that the average juice squeezed is more than 4.3 ounces?

(c) What is the probability that the average juice squeezed is between 4.15 ounces and 4.3 ounces?

(d) Do we need the Central Limit Theorem to solve (a) and (b)? Why or why not? Explain.

Reference no: EM1399373

Questions Cloud

Importance of corporate university in corporate development : The unit introduction and textbook reading address corporate universities and name a few of the organizations that have developed their own universities.
Calculate the concentration of solution : How many grams of Oxygen gas are required  if It is desired to inflate a baggie with  842 milliliters volume by filling it with O2 gas  at 1.21 atm pressure and a 306 K.temperature ?
What is the primary funtion of myelencephanon : What are the primary functions of the brain structures of the diencephalon.
Social role of arts in early chinese-japanese civilizations : You are in charge of marketing and advertisement at local art museum. Next month, museum will be hosting exhibition on social role of arts in early Chinese and Japanese civilizations.
Applying central limit theorem to find probability : An orange juice producer buys only one kind of oranges. The amount of juice squeezed from each of these oranges is approximately normally distributed with a mean of 4.2 ounces and a population standard deviation of 1 ounce.
Discuss the rules of business competition : This competitive rivalry turns out to be a game of moves and counter moves played under war like condition. According to other rules of business competition, discuss the statement
Determine what mass of ar is needed to exert : Determine the final concentration and Determine What mass of Ar is needed to exert half the pressure (at the same conditions of volume and temperature)?
Would normal distribution provide reasonable approximation : Given a binomial distribution with n=29 and p=0.83, would the normal distribution provide a reasonable approximation? Why or why not.
How sensory and motor neurons will operate : Explain in detail how sensory and motor neurons will operate if someone steps on your toe.

Reviews

Write a Review

Basic Statistics Questions & Answers

  How does the bell-shaped curve

How does the bell-shaped curve for the sampling distribution of sample means for samples of size n = 100 compare to the bell-shaped curve for sampling distribution of sample means for samples of size n = 60.

  Estimate marginal-conditional probabilities

Employees of a local university have been classified according to gender and job type. The following table provides data about the employees.

  Related to the sample correlation coefficient

Explain what the coefficient of determination, R^2 (R-squared), measures. How is it related to the sample correlation coefficient?

  Probability on randomly selected phone number

The first three digits of a university telphone exchange are 452. if all the sequences of the remaining four digits are equally likely, what is the probability that a randomly selected universtiy phone number contains seven distinct digits?

  Find out the optimum solution using the given data

Find out the Optimum solution using the given data. Consider the following linear programming problem. Illustrate what is the optimum solution to this problem?

  Determining sample mean using standard deviation

For a sample with standard deviation of 10, a score of X = 44 corresponds to z-score of 0.50.  Based on this info, determine the sample mean?

  Probability that the mean life-span of a sample

What is the probability that the mean life-span of a sample of 64 randomly selected bulbs will exceed 727 hours?

  What is the overall reliability of the system

A product is made up of two subsystems in parallel. Subsystem one consists of ten elements in series each with a failure rate of 1/100. The second subsystem consists of 5 elements in series each with a failure rate of 1/200. What is the overall re..

  Statistical concepts of anova-samples

What is an independent sample and what is a related sample? When should researchers use varying hypothesis tests for the different types of samples?

  Random set of married and single men

A marketing firm asked a random set of married and single men as to how much they were willing to spend for a vacation. At  *alpha*= .05, is a difference in the two amounts?

  Mean value assuming a normal distribution

She then uses the mean and standard deviation of these values to estimate the mean value for all parts the operator is making. Construct a 95% confidence interval for the mean value assuming a normal distribution.

  Sample variances-pooled variances

One sample has SS = 48 and a second sample has SS = 32. When both samples have n =5, what is each sample variance and computed pooled variance?

Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd