Question

6. Minute Maid wants to know the average money consumers spend on juice every month with 95% confidence (-1.96), and with the sampling error to be $3. Assume that a good estimate of the population standard deviation is $10. Calculate the sample size. (5 pts) Enter the sample size here: 7. Suppose you want to learn how many people have intentionally installed pirate software Due to the sensitive nature of this question, you decide to adopt a method you learned in Marketing Research class. Specifically, respondents will first toss a coin (without being seen by anyone else). If the head is up, they need to answer the question "Is your mother's birthday in June?" If the tail is up, they need to answer the question "Have you ever intentionally installed pirate software?" Respondents will only need to write down "yes" or "no" on the answer sheet without specifying which question they were answering. As a result, a total of 14% respondents write "yes" on their answer sheets. Estimate the proportion of people who have ever intentionally installed pirate software (5 pts) Enter the percentage here (keep up to two decimal digits)

Answer 1

6)

Standard Deviation ,   σ =    10  
sampling error ,    E =   3  
Confidence Level ,   CL=   95%  
          
alpha =   1-CL =   5%  
Z value =    Zα/2 =    1.96   
          
Sample Size,n =    (Z*σ / E)² =(1.96*10/3)² = 42.6829  
          
          
So,Sample Size needed=       43

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