A distribution of values is normal with a mean of 90 and a standard deviation of 5. Find the interval containing the middle-most 98% of scores:
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- Find the z-score when x is 5, mean equals 7, and standard deviation 3.The SAT scores of students are normally distributed with a mean of 950 and a standard deviation of 200. Q19 What percentage of students score between 1100 and 1200? Your answer should be in % and have two digits after the period. So, if your answer is 50.723%, write 50.72. Your Answer:A distribution of values is normal with a mean of 185.8 and a standard deviation of 24.3.Find P8, which is the score separating the bottom 8% from the top 92%.P8 =
- Use z scores to compare the given values. In a recent awards ceremony, the age of the winner for best actor was 28 and the age of the winner for best actress was 44. For all best actors, the mean age is 42.3 years and the standard deviation is 8.4 years. For all best actresses, the mean age is 33.3 years and the standard deviation is 10.7 years. (All ages are determined at the time of the awards ceremony.) Relative to their genders, who had the more extreme age when winning the award, the actor or the actress? Explain. Since the z score for the actor is z = and the z score for the actress is z=, the had the more extreme age. (Round to two decimal places.)A distribution of values is normal with a mean of 38.3 and a standard deviation of 84.2.Find P98, which is the score separating the bottom 98% from the top 2%.P98 =A distribution of values is normal with a mean of 116.2 and a standard deviation of 60.1. Find P43, which is the score separating the bottom 43% from the top 57%. P43 = Enter your answer as a number accurate to 4 decimal places.
- Given a scenario where n=100 and p=0.8, find the mean.A distribution of values is normal with a mean of 100.9 and a standard deviation of 60.6.Find P72, which is the score separating the bottom 72% from the top 28%.A distribution of values is normal with a mean of 246.2 and a standard deviation of 99.5. Find P78, which is the score separating the bottom 78% from the top 22%. P78 Enter your answer as a number accurate to 4 decimal places.
- The average driver spends $39 at the gas station each week with a standard deviation of $11. Assuming that the amount a driver spends on gas follows a normal distribution; find the percentage of drivers who spend: 1. More than $67? 2. Less than $25? 3. Between $25 and $67A distribution is normal with a mean of 25 and a standard deviation of 3. What is the median of the distribution? 255