On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of 116 and a standard deviation of 16. Suppose one individual is randomly chosen. Let X = IQ of an individual. a. What is the distribution of X? X ~ N( b. Find the probability that a randomly selected person's IQ is over 119. Round your answer to 4 decimal places. c. A school offers special services for all children in the bottom 3% for IQ scores. What is the highest IQ Score a child can have and still receive special services? Round your answer to 2 decimal places.

Q: The average amount of money spent for lunch per person in the college cafeteria is $6.2 and the…

A: Here, 43 samples are collected. b.) Hence, if the sample mean is denoted by x, then, x~N(μ,σ2n),…

Q: suppose that you hav e set of data that has a mean of 34 and a standard deviation of 6. a. is the…

A: Given: A data set has a mean of 34 and a standard deviation of 6.

Q: Given a set of data that is skewed-left, there is at least _____ % of the data within 3 standard…

A: From the given information, Consider, As it has been given that data is left skewed as a result one…

Q: The lengths of pregnancies are normally distributed with a mean of 268 days and a standard deviation…

A: (a)   Obtain the probability that pregnancy will last 307 days or longer. The probability that…

Q: Suppose you select a sample of 2,000 high school seniors' verbal SAT scores. The mean and standard…

A:

Q: Multiplying every score is a sample by a constant value will change the value of the standard…

A: Standard deviation is a measure of the amount of dispersion of a set of values. It is obtained by…

Q: In a departamental examination in  statistics given to 500 students, the mean score was 75 with a…

A: A z score tells us where score is lies on normal distribution curve. if z score is is zero is it…

Q: The table below gives the number of accidents each year at a particular road intersection: 2007 4…

A:

Q: Suppose your statistics professor graded your test with a Z Score.  You earned a 3.25 on a test with…

A: Answer:- Given, Mean, µ = 71  Standard deviation, σ = 8  And Z-score = 3.25  We need to find the…

Q: The mean and standard deviation of a data set are 5 and 7, respectively. If each observation in the…

A: From the provided information, Mean (x̄) = 5 Standard deviation (s) = 7

Q: Find the area of iPpupis AU -0.45 0 2.11 A. 0.3438 В. 0.6562 С. 1.3090 O D. 0.3090 loct vour answer.

A:

Q: Suppose the people living in a city have a mean score of 40 and a standard deviation of 7 on a…

A: As per guidelines, we will only solve first three subparts, please repost other questions for more…

Q: K The lengths of pregnancies are normally distributed with a mean of 266 days and a standard…

A: We have given that Mean(µ) = 266Standard deviations (σ) = 15X ~ N (µ, σ )= N(266,15)

Q: The number of ants per acre in the forest is normally distributed with mean 42,000 and standard…

A:

Q: Suppose that the speed at which cars go on the freeway is normally distributed with mean 76 mph and…

A:

Q: Chere were three groups of tribal people and there Cephalic Lex were measure. The following are the…

A: Given; data values of three groups of tribal people and three chephalic measure ,mean and standard…

Q: Below represents the amounts that a random sample of employees reported that they spent on dinner…

A:

Q: The table on the right gives the annual income for eight families, in thousands of dollars. Find the…

A: Given that following data Family Income x A 49 B 51 C 46 D 48 E 47 F 48 G 45 H 50…

Q: hts per a 12,370. Let X = number o places where possible.

A: Here it is given that X denotes the no of ants in a randomly selected acre of a forest. Mean (μ) =…

Q: . A distribution has a coefficient of variation of 65% and mean of 47. What is the value of the…

A:

Q: The weights of steers in a herd are distributed normally. The standard deviation is 200lbs. and the…

A: Let "X" be the weight of steers in a herd.

Q: The accompanying data represent the pulse rates (beats per minute) of nine students. Treat the nine…

A: Given, Student Pulse 1 76 2 60 3 60 4 80 5 73 6 80 7 80 8 68 9 73

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0° and standard…

A:

Q: Find the mean and median of the class’s scores on this quiz. Round to two decimal places when needed

A: Given that  From histogram  X-axis takes X values and Y-axis takes Frequency  X Frequency = f 1…

Q: Create your Data Set. These are your X-values: 1. Choose a number between 50 and 100. And write your…

A:

Q: 5. Two different 5th grade classes take the same test. In the first class of 50 students the mean…

A: Given the First class Sample size =50  Mean =70  Second class  Sample size =20  Mean =90 We have to…

Q: If the coefficient of variation for a data is given as 35%, and the standard deviation for the same…

A: given data coefficient of variation = 35% so cv = 0.35 sd = 32 mean  = ?

Q: Find the indicated IQ score. The graph to the right depicts IQ scores of adults, and those scores…

A: GIVEN DATA, normal distribution μ=100σ=15we have to find out the indicated IQ score for the given…

Q: A test program for grade 10 can generate quadratic functions in a standard form y = where a, b, c…

A: Given : y = ax2 + bx + c  where, a = {-1,1,2}, b = {0,4}, c = {0, -1}

Q: Approximately 6% of American drivers d not text while they drive. Suppose you are working with a…

A: The given situation fits binomial distribution as there are 300 independent trials (300 people),…

Q: uppose you go to the grocery store and spend $92.54 for the purchase of 12 items . What is the mean…

A: Given that  Amount spent  = $92.54 Number of items bought = 12     We know that  Mean amount =…

Q: 10. The mean of this survey is 26.2 and the standard deviation is 8.7. There are 250 pieces of data.…

A: Given mean of survey is 26.2 and standard deviation is 8.7 The below number line represents the…

Q: The amount of syrup that people put on their pancakes is normally distributed with mean 62 mL and…

A: Given, μ = 62σ = 12n = 50 X ~ N (62, 12)     To find, b) what is the distribution for x ? c) P (61.9…

Q: A distribution of data has a mean of 26 and a standard deviation of 2. How many standard deviations…

A: Population mean μ =26 Population standard deviation =2

Q: 3. Listed below are the number of major injuries each year. The number listed are from year…

A: Sort the data from smallest to largest. a. The mean of the data is obtained by :  sum of all…

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

A:

Q: The table below gives the annual income for eight families, in thousands of dollars. Find the number…

A: Given : Family A B C D E F G H Income 51 53 52 50 49 50 47 48

Q: elect ALL the ways that variation in the data can be measured below. A. The mean of the data B. The…

A: We have to find ways that variation in the data can be measured

Q: d. Determine the sample standard deviation. Round your answer to 2 decimal places. e. Determine the…

A: The data set are :- X :- 29.6 32.4 38.7 42.4 44.5 46.4 49.0 60.8 70.2 Then,  We will find sample…

Q: Leave all probabilities as percentages. Define x on all problems with data. The number of…

A: The given data is 74, 52 and 83. a. sample mean- b. sample standard deviation is found using Excel.…

Q: Researchers measured the data speeds for a particular smartphone carrier at 50 airports. The highest…

A: The formula for calculation of z – score is shown below                   z = (x – xbar)/sd where, x…