Market researcher Gartner Dataquest reports that Dell Computer controls 27% of the PC market in the United States. Suppose a business researcher randomly selects 130 recent purchasers of PCs. a. What is the probability that more than 39 PC purchasers bought a Dell computer? b. What is the probability that between 28 and 38 PC purchasers (inclusive) bought a Dell computer? c. What is the probability that fewer than 23 PC purchasers bought a Dell computer? d. What is the probability that exactly 33 PC purchasers bought a Dell computer?
Added by Jennifer A.
Step 1
Since Dell controls 27% of the market, we can assume that 27% of the purchasers in our sample bought a Dell computer. Mean (μ) = n * p = 130 * 0.27 = 35.1 Standard deviation (σ) = √(n * p * (1-p)) = √(130 * 0.27 * 0.73) ≈ 5.22 Now, we can use the normal Show more…
Show all steps
Close
Your feedback will help us improve your experience
Keondre Parker and 80 other Intro Stats / AP Statistics educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
According to Gartner Inc., the second-largest share of the worldwide PC market is held by Hewlett-Packard with 21.7%. Suppose that a market researcher believes that Hewlett-Packard holds a higher share of the market in the western region of the United States. To verify this theory, he randomly selects 428 people who purchased a personal computer in the last month in the western region of the United States. Of these purchases, 104 were Hewlett-Packard computers. Using a 1% level of significance, test the market researcher's theory. If the market share is really 0.29 in the western region of the United States, what is the probability of making a Type II error?
Kirsty G.
9.58. According to Gartner Inc., the second-largest share of the worldwide PC market is held by Hewlett-Packard with 21.7%. Suppose that a market researcher believes that Hewlett-Packard holds a higher share of the market in the western region of the United States. To verify this theory, he randomly selects 428 people who purchased a personal computer in the last month in the western region of the United States. Of these purchases, 104 were Hewlett-Packard computers. Using a 1% level of significance, test the market researcher's theory. If the market share is really 0.29 in the western region of the United States, what is the probability of making a Type II error?
Prabhakar K.
Md.Daniyal A.
Recommended Textbooks
Elementary Statistics a Step by Step Approach
The Practice of Statistics for AP
Introductory Statistics
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD