Purchase Solution

# Calculating mean and standard deviation in the given case

Not what you're looking for?

A candy company claims that 17% of its plain candies are orange, and a sample of 100 such candies is randomly selected.

a. Find the mean and standard deviation for the number of orange candies in such groups of 100.

b. A random sample of 100 candies contains 5 orange candies. Is this result unusual? Does it seem that the claimed rate of 17% is wrong? Choose one from below

1. Yes, because 5 is below the minimum usual value. Thus, the claimed rate of 17% is probably wrong.
2. Yes, because 5 is greater than the maximum usual value. Thus, the claimed rate of 17% is not necessarily wrong.
3. Yes, because 5 is within the range of usual values. Thus, the claimed rate of 17% is probably wrong.
4. No, because 5 is within the range of usual values. Thus, the claimed rate of 17% is not necessarily wrong.

##### Solution Summary

Solution describes the steps to calculate mean and standard deviation in the given case.

##### Solution Preview

a. Find the mean and standard deviation for the number of orange candies in such groups of 100.
Number of observations=n=100
Probability of being orange=p=17%=0.17
q=1-p=1-0.17=0.83

Mean=np=100*.17=17
Standard deviation=npq=100*0.17*0.83=14.11

b. A ...

Solution provided by:
###### Education
• BEng (Hons) , Birla Institute of Technology and Science, India
• MSc (Hons) , Birla Institute of Technology and Science, India
###### Recent Feedback
• "Thank you"
• "Really great step by step solution"
• "I had tried another service before Brain Mass and they pale in comparison. This was perfect."
• "Thanks Again! This is totally a great service!"
• "Thank you so much for your help!"

##### Basic Social Media Concepts

The quiz will test your knowledge on basic social media concepts.

##### Accounting: Statement of Cash flows

This quiz tests your knowledge of the components of the statements of cash flows and the methods used to determine cash flows.

##### Marketing Research and Forecasting

The following quiz will assess your ability to identify steps in the marketing research process. Understanding this information will provide fundamental knowledge related to marketing research.