Z-score-probability and normal distribution

Reference no: EM13102238

The diameters of oranges in a certain orchard are normally distributed with a mean of 5.26 inches and a standard deviation of 0.50 inches.

Questions:

1. What percentage of the oranges in this orchard have diameters less than 4.5 inches?

2. What percentage of the oranges in this orchard is larger than 5.12 inches?

3. A random sample of 100 oranges is gathered and the mean diameter obtained was 5.12. If another sample of 100 is taken, what is the probability that its sample mean will be greater than 5.12 inches?

4. Why is the z-score used in answering (a), (b), and (c)?

5. Why is the formula for z used in (c) different from that used in (a) and (b)?

Reference no: EM13102238

Questions Cloud

Explain why are we spending billions of dollars on weapons : Explain why are we spending billions of dollars on weapons that don't work?" This is an example of which slanting device?

Probability related to female high school teachers : It is known from previous studies that the population variances are 4.1 and 5.0 respectively. Using a level of significance of .05, is there evidence that the first year female high school teachers are receiving lower salaries? Fully explain your ..

Description of normal probability-medicine : The Director of Emergency Medicine at Big Mountain Medical Services is studying patient waiting time. Waiting time is defined as the time from when a patient enters the facility until seen by a physician.

Through how many revolutions will it turn : An automobile tire is rated to last for 40,000 miles. To an order of magnitude, through how many revolutions will it turn?

Z-score-probability and normal distribution : The diameters of oranges in a certain orchard are normally distributed with a mean of 5.26 inches and a standard deviation of 0.50 inches.

What is the length of the fiber : Gold, which has a density of 19.32 g/cm3, is the most ductile metal and can be pressed into a thin leaf or drawn out into a long fiber. (a) If a sample of gold with a mass of 7.948 g, is pressed into a leaf of 1.547 m thickness.

How high-performance workplace vary traditional organization : Explain how high-performance workplaces and organizations vary from traditional organizations regarding operational effectiveness, workplace stress.

Statistics question-combinations : The Swansons are planning to fly to Hawaii from Toronto with a stopover in Los Angeles. There are five flights they can take between Toronto and Los Angeles and ten flights between Los Angeles and Hawaii.

Varies with the copula correlation : It is interested in estimating a 99.97% worst case for percentage of loan that defaults on the portfolio. Show how this varies with the copula correlation.

User Account

All Pages