selfiegymnast
22.04.2020 •
Mathematics
The weights of medium oranges packaged by an orchard are Normally distributed with a mean of 14 ounces and a standard deviation of 2 ounces. Ten medium oranges will be randomly selected from a package. What is the sampling distribution of the sample mean weight of a random sample of 10 medium oranges
Solved
Show answers
More tips
- H Health and Medicine Reasons for the Appearance of Warts: Everything You Need to Know...
- G Goods and services What Are the Most Popular Services?...
- O Other What is the oldest joke ever told?...
- L Legal consultation How to Properly Inherit: Tips and Recommendations...
- C Computers and Internet Boost your processor performance with these easy tips...
- S Sport How does Bodyflex work: what is it and how does it work?...
- H Health and Medicine How to Whiten Teeth and Get the Perfect Smile...
- S Style and Beauty How to Properly Apply Eye Makeup: Tips from a Professional Makeup Artist...
- A Auto and Moto How Can Parking Sensors Help Drivers?...
- C Computers and Internet Make Money Online: Secrets and Essential Ways...
Answers on questions: Mathematics
- M Mathematics Name the set or sets of numbers to which negative 10 belongs to...
- M Mathematics An angle measures 47°. what are the measures of the angle’s complement and supplement? (1 point)...
- M Mathematics Find the roots of the equation x3-3x^2+x+5...
- M Mathematics Qsquare has the perimiter of 38 inches. we want to know the length of each side...
- M Mathematics There are a total of 155 miles on a trip . write and solve an algebraic equatio to find out how man miles and hour you can drive if the trip takes 5 hours altogether...
- M Mathematics Find the roots of the equation x^3-3x^2+x+5...
- M Mathematics Quadrilateral abcd is inscribed in a circle. what’s the measure of angle b...
- M Mathematics What is the solution to this equation? –5(s – 30) = –10...
- M Mathematics The number of major faults on a randomly chosen 1 km stretch of highway has a poisson distribution with mean 1.7. the random variable x is the distance (in km) between...
- M Mathematics Elijah played in a golf tournament. for the first three days he averaged a score of -2. on the fourth day he shot a +2. what was his average for all four days?...
Ответ:
The sampling distribution of the sample mean weight of 10 medium oranges is ~ Normal ().
Step-by-step explanation:
We are given that the weights of medium oranges packaged by an orchard are Normally distributed with a mean of 14 ounces and a standard deviation of 2 ounces.
Ten medium oranges will be randomly selected from a package.
Let = sample mean weight
The z-score probability distribution for sample mean is given by;
Z = ~ N(0,1)
where, = population mean weight = 14 ounces
= population standard deviation = 2 ounces
n = sample of oranges selected = 10
The Z-score measures how many standard deviations the measure is away from the mean. After finding the Z-score, we look at the z-score table and find the p-value (area) associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X.
Now, The sampling distribution of sample mean weight () is given by;
~ Normal ( )
So, ~ Normal ()
Ответ: