Academic Integrity: tutoring, explanations, and feedback — we don’t complete graded work or submit on a student’s behalf.

1. Sampling Distribution. Pollsters often use randomly selected digits between 0

ID: 2921656 • Letter: 1

Question

1. Sampling Distribution. Pollsters often use randomly selected digits between 0 and 9 to generate parts of tele- phone numbers to be called. What is the distribution of such randomly selected digits? If we repeat the process of randomly generating 50 digits and finding the mean, what is the distribution of the resulting sample means? 2. Polls. America OnLine published a survey question Among the 2,300 Internet users who responded, 20% answered "ves" and the others answered "no." For the "yes" responses, what is the value of p? What is fundamen- 92 CS tally wrong with this survey? 3. Notation. What does x denote, what does denote, and what is the difference between them? 4. Notation. What does p denote, what does p denote, and what is the difference between them?

Explanation / Answer

1)this is uniform distribution.because there is an equal Probabilityof selecting any of the numbers between 0 and9

the resulting of the sample mean would be approximately normal this is bacause the sample size is greaterthan 30

2)yes responsesthe value of proportion of p is 0.20

The answer is voluntary recorded for the internet users who closed to respond.the population is not representing the survey nor the proportion of the population who uses the internet

3) the difference between xbar and mu is x bar denotes the mean of the sample

Mu denotes mean of the population

4)p denotes the sample proportion

It's units possessing same attribute in the sample

P cap denotes population proportion

It's population units possessing some attribute in population