The standard deviation of the scores on a skill evaluation test is 290 points with a mean of 1286 points. If 321 tests are sampled, what is the probability that the mean of the sample would differ from the population mean by less than 18 points? Round answer to four decimal places.

Q: a successful basketball player has a height of 6 feet 9 inches, or 206 cm. Based on statistics from…

A: Given,           Z -score=4.45           A basket ball player has a height of  6 feet 9…

Q: Which value is greater than at most 75% of all scores in a data set?

A: The median is middle value of the observations, above or below which 50% of the observations lie.

Q: The top 5% of applicants on a test will receive a scholarship. If the test scores are normally…

A: According to the given information in this question We need to find the lowest score

Q: Angela wants to estimate the mean number of siblings for each student in her school. She records the…

A: Explanation:Here, estimate the mean number of siblings for each student in Angela school. Moreover,…

Q: A student scored 51 on a math achievement test for which the mean was 36 and the standard deviation…

A: From given data we have  Mean = 36 standard deviation = 6 X=51

Q: A successful basketball player has a height of 6 feet 2 ​inches, or 188 cm. Based on statistics from…

A: Given the Z score of height of basket ball player is 1.95. The original height of the basket ball…

Q: A successful basketball player has a height of 6 feet 8 ​inches, or 203 cm. Based on statistics from…

A: Consider X is a random variable defined as the height of a successful basketball player.The provided…

Q: 500 freshmen at Crescent High School took an algebra test. The scores were distributed normally with…

A: Normal Distribution: A continuous random variable X is said to follow Normal distribution with…

Q: A sample mean has a z= -4.0 on the sampling distribution created from the population of psychology…

A:

Q: On five exams, Rachel has a mean score of 80 points. Her lowest score was 50.  If this score is…

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: Dr. Smith administered a test to her statistic class with 25 questions that were worth one point…

A: If n is multiplied by each observation, the new value for mean is, E(n×X) = nE(X) If n is multiplied…

Q: A simple random sample of 28 observations was taken from a large population. The sample mean equaled…

A: It is given that, a simple random sample of 28 observations was taken from a large population with…

Q: Suppose that the mean score of a class of 33 students was 80. The 19 male students in the class had…

A:

Q: Abby's score of 704 on the math portion of the 2002 GRE exam placed her in the 84th percentile rank.…

A: given data  Abby score x = 704 84th percentile σ = 141μ = ?

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: In a psychology class, 53 students have a mean score of 84.7 on a test. Then 24 more students take…

A: Given Information No of students n1 = 53 Mean score µ1 = 84.7 24 more students have taken the test…

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: In the population, the mean SAT score is 1000. Would you be more likely (or equally likely) to get a…

A: Given that the population mean is 1,000 and the samples sizes selected are 10 and 30.

Q: The number of hours per week that the television is turned on is determined for each family in a…

A: Given that there are 24 families in the sample.  Mean=31 Median=27.2 7th percentile= 16 hours

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: A successful basketball player has a height of 6 feet 11 ​inches, or 211 cm. Based on statistics…

A:

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

A:

Q: A successful basketball player has a height of 6 feet 3 ​inches, or 191 cm. Based on statistics from…

A: Given,a basketball player has a height of 6 feet 3 inchesand the Z-score =2.31

Q: A successful basketball player has a height of 6 feet 4 ​inches, or 193 cm. Based on statistics from…

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: 500 freshmen at Crescent High School took an algebra test. The scores were distributed normally with…

A: Given information: MEan=75 Standard deviation=7

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.