See attached file for questions 8 and 9.
A- Sample of n = 75, the probability of a sample mean being greater than 229 if u = 228 and o=4.4 is (round to four decimal places)
B- The sample mean (would or would not) be considered unusual because it (does not lie, lies) within (1 standard deviation, 2 deviation, 3 deviation) of the mean of the sample means.
2. A drug tester claims that a drug cures a rare skin disease 73% of the time. The claim is checked by testing the drug on 100 patients. If at least 68 patients are cured, the claim will be accepted.
The probability is ___ (round to four decimal places)
3. A vending machine dispenses coffee into an eight ounce cup. The amount of coffee dispensed into the cup is normally distributed with a standard deviation of 0.05 ounce. You can allow the cup to overfill 10% of the time. What amount should you set as the mean amount of coffee to be dispensed? = ____ (round to two decimal places)
4. Find the indicated area under the standard normal curve. The area to the left of z=-1.27 under the standard normal curve is ____ (round to four decimal places)
5. Find the normal distribution shown on #5 on the attachment) find the probability of z occur in the indicated region. The probability is =____ (round to four decimal places)
6. Find the indicated z-scores shown on #6 of the attachment. The z-scores are =____ (use a comma to separate answers as needed. Round to two decimal places as needed)
7. The average math SAT score is 516 with a standard deviation of 117. A particular high school claims that its students have unusually high math SAT scores. A random sample of 45 students from this school was selected, and the mean math SAT was 545. Is this high school justified in its claim? (Yes, no) because the z-score _____ is (unusual, not unusual) since it (does not lie, lies) within (1 standard deviation, 2 standard deviation, 3 standard deviation) of the mean of sample means.
8) See attachment
9) See attachment
The solution provides step by step method for the calculation of probability using the Z score. Formula for the calculation and Interpretations of the results are also included.