Answered

Welcome to Westonci.ca, where finding answers to your questions is made simple by our community of experts. Explore our Q&A platform to find reliable answers from a wide range of experts in different fields. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform.

Thirty percent of a magazine's subscribers are female. A random sample of 50 subscribers Answer the following questions using Excel: (using standart devision of 0.0648)
a. What is the probability that the proportion of females from this sample is at most 0.25
b. What is the probability that the proportion of females from this sample is between 0.22 and 0.28
c. What is the probability that the proportion of females from this sample is within 0.03 of the population proportion?

Sagot :

Parrain

Based on the mean of the subscribers, the sample size, and the standard deviation, the probability of females being at most 0.25 is 0.2202.

The probability that they are between 0.22 and 0.28 is 0.2703.

The probability that they are within 0.03 of the population proportion is 0.3566.

What is the probability that they are at most 0.25?

Using Excel, we shall assume that the distribution is normally distributed.

We can therefore use the NORM.DIST function:


=NORM.DIST(0.25,0.3,0.0648,TRUE)

= 0.2202

What is the probability that they are between 0.22 and 0.28?

=NORM.DIST(0.28,0.3,0.0648,TRUE) - NORM.DIST(0.22,0.3,0.0648,TRUE)

= 0.2703

What is the probability that they are within 0.03 of the population proportion?

X high = 0.30 + 0.03

= 0.33

X low = 0.30 - 0.03

= 0.27

= NORM.DIST(0.33,0.3,0.0648,TRUE) - NORM.DIST(0.27,0.3,0.0648,TRUE)

= 0.3566.

Find out more on probability at https://brainly.com/question/1846009.

View image Parrain
View image Parrain
View image Parrain
View image Parrain
View image Parrain
We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.