The number of points scored by éäch at the end of the season is normally distributed with a mean of 89 and a standard deviation of 11. If there are 30 teams, how many scored at least 78 points? Round to the nearest whole number.

Q: After 8 points are added to each score in a sample, the mean is found to be M = 40. What was the…

A: Let us have n number of scores in a sample. After adding 8 to each score sample mean will be M = 40…

Q: You throw a ball as far as you can 5 times, recording the distance for each throw: 165 feet, 184…

A: since only 5 observation is given we will consider them as sample (n = 5)and population (N = 100)…

Q: tudent obtained the mean of 58 observations as 48. It was later found that one observation was…

A: Given data, n=58 The mean for 58 observations is 48 x=∑xn48=∑x58∑x=2784

Q: A researcher measures the amount of food consumed by each dog in her lab. She finds that the mean…

A: It is given that mean amount of food is 12 oz and number of dogs is 16. The sum of squared…

Q: A history class has 95 members. If there is a 22% absentee rate per class meeting , find the mean…

A:

Q: The mean grade on a science test was 79 and there was a standard deviation of 6. If your sister…

A: We have given that,  Let X be the random variable from normal distribution with mean (μ)= 79,…

Q: After 5 points are added to each score in a sample, the mean is found to be M=45 . What was the…

A: Given data: c = 5 points are added to each score in a sample. New mean, M = 45 Let the original mean…

Q: A data set has size of 40. How many observations lie within two standard deviations of either sides…

A: The 68-95-99.7% (Empirical) Rule: For a normal distribution, the empirical rule (68-95-99.7% Rule)…

Q: find the mean, standard deviation, the IQR, and tell how the data is skewed, if it is. using the…

A: If the distribution is divided into two parts and the two sides are a mirror image of each other,…

Q: The average and standard deviation for ACT scores are 20 and 3 respectively. average and standard…

A:

Q: If the probability of defective bolt is 0.1, find the mean and the standard deviation for the number…

A: Given the probability of a defective bolt is, 0.1 That is, p=0.1 The total number of bolts is, n=400…

Q: ect the correct answer. e dot plots represent the number of students who enrolled each year st 24…

A:

Q: On a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark was 36%…

A: Given that on a final exam, the mean mark was 68% and the standard deviation was 12%. If John’s mark…

Q: Find the number of pieces of data in your set (this is n), the mean, median, mode, range, and…

A: The data is given as, 32, 36, 29, 34, 31, 33, 27, 34

Q: A population has mean 27 and standard deviation 12 . What is the data value that has a z-score of -2…

A: Given data, Mean=27 sd=12 z=-2 x=?

Q: aking the Graduate Management Aptitude Test averaged 812 with a standard deviation of 145. Only…

A: Given: Meanμ=812Standard deviationσ=145 Consider, X be the random variable that shows the average…

Q: find the mean if Z-score =14, st.Dev.=2.5, for a score of 8.5

A: Standard normal distribution:The standard normal distribution is a special case of normal…

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A:

Q: A class has an equal number of boys and girls. The boys all got 78% on a test and the girls all got…

A: From the provided information, Boys got 78% on a test and girls got 84%. Let n = number of girls =…

Q: Which student received the highest grades from the quizzes?

A: here given , Jasmine, Jamal, and Jessa all got the same mean grade (2.7) on their quizzes last…

Q: Two teachers recorded test scores of a small group of students. What is the approximate difference…

A: From the provided information, Bowman group score: 69, 73, 79, 83, 93, 97, 98, 100 Gray group score:…

Q: Mario's weekly poker winnings have a mean of $353 and a standard deviation of $67. Last week he won…

A: to find the number of standard deviations

Q: On a standardized test, Sara had a score of 93, which was exactly 2 standard deviations above the…

A: The normal distribution in the center is generally denser and basically less dense at tails. There…

Q: Calculate the mean if -2 standard deviation = 70 and +2 standard deviation = 100. The mean of the…

A:

Q: The mean of 7 consecutive integers is 10. What is the standard deviation?

A:

Q: In a psychology class, 40 students have a mean score of 89.5 on a test. Then 24 more students take…

A: Given,n1=40 , x¯1=89.5n2=24 , x¯2=78.3

Q: A mean of 200 and a standard deviation of 50. Find P60, the score which separates the lower 60% form…

A:

Q: The distances golf balls travel under laboratory testing conditions are normally distributed. The…

A: Given,mean(μ)=312P(X>319)=0.28

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.