answer the following questions please

1. A set of 50 data values has a mean of 18 and a variance of 4.
I. Find the standard score (z) for a data value = 20.
II. Find the probability of a data value < 20. (Points : 4) 2. Find the area under the standard normal curve: I. to the right of z = -0.43 II. to the left of z = -0.43 (Points : 4) 3. Assume that the population of heights of female college students is approximately normally distributed with mean m of 65 inches and standard deviation s of 2.75 inches. Show all work. (A) Find the proportion of female college students whose height is greater than 67 inches. (B) Find the proportion of female college students whose height is no more than 67 inches. (Points : 6) 4. The diameters of grapefruits in a certain orchard are normally distributed with a mean of 6.85 inches and a standard deviation of 0.80 inches. Show all work. (A) What percentage of the grapefruits in this orchard have diameters less than 6.3 inches? (B) What percentage of the grapefruits in this orchard are larger than 6.75 inches? (Points : 6) 5. Find the normal approximation for the binomial probability that x = 6, where n = 15 and p = 0.5. Compare this probability to the value of P(x=6) found in Table 2 of Appendix B in your textbook. (Points : 6) 6. A set of data is normally distributed with a mean of 500 and standard deviation of 100. · What would be the standard score for a score of 433? · What percentage of scores is between 500 and 433? · What would be the percentile rank for a score of 433? (Points : 6) Time Remaining:

Calculate your order
Pages (275 words)
Standard price: $0.00
Client Reviews
4.9
Sitejabber
4.6
Trustpilot
4.8
Our Guarantees
100% Confidentiality
Information about customers is confidential and never disclosed to third parties.
Original Writing
We complete all papers from scratch. You can get a plagiarism report.
Timely Delivery
No missed deadlines – 97% of assignments are completed in time.
Money Back
If you're confident that a writer didn't follow your order details, ask for a refund.

Calculate the price of your order

You will get a personal manager and a discount.
We'll send you the first draft for approval by at
Total price:
$0.00
Power up Your Academic Success with the
Team of Professionals. We’ve Got Your Back.
Power up Your Study Success with Experts We’ve Got Your Back.
WeCreativez WhatsApp Support
Our customer support team is here to answer your questions. Ask us anything!
👋 Hi, how can I help?