Sam scored a 27 on his ACT last back in October. The mean ACT score for his class was 23, with a standard deviation of 2. Assuming a normal (bell- shaped) distribution for students' scores, answer the following: 1) What percentage of students would you expect to have scored higher than Sam? 34 74 330 25/14 2) What percentage of students should have scored between Sam's score -30 13.3 and the mean? 44. 5 2 5% 3) Jessica scored a 21 on the ACT? What percentage of students would you expect to have scored lower than Jessica? 50.0 (34.0)

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A: (a) A random sample of 80 tires showed that the mean mileage per tire was 41700 mi, with a standard…

Q: B. The weights of crates of apples are normally distributed with a mean of 26.4 pounds and a…

A: Given: Population mean μ=26.4 Population standard deviation σ=3.1 Raw score (X) = 31.6

Q: The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a…

A: Empirical Relationship: The empirical rule states that if a distribution is unimodal and symmetric…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days…

A: Here, µ=261 and σ = 17.

Q: The heights of adult men in America are normally distributedwith mean of 69.3 inches and a standard…

A: Norma distribution is a continuous probability distribution. Standard normal distribution or…

Q: The weight of an organ in adult males has a bell-shaped distribution with a mean of 330 grams and a…

A: According to the empirical rule,

Q: the average height of grade 10 students is 148 cm. a sample of 250 students had an average heigh of…

A: Given: μ=148Sample size, n=250sample mean, x¯=148.3sample sd, s=8

Q: The heights of adult men in America are normally distributed, with a mean of 69.3 inches and a…

A:

Q: It is possible to score higher than 1600 on the combined mathematics and reading portions of the…

A: Define the random variable X as SAT scores.z-score:The formula for finding the z-score is given as…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 267 days…

A: Solution: Let X be the length of pregnancies in a small rural village From the given information, X…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 262 days…

A: Given information- Population mean, µ = 262 days Standard deviation, σ = 17 days Significance level,…

Q: 3. In regard to the standard deviation you calculated on #2, what is one conclusion you can make…

A: You have asked only question 3. So, the answer is given for question 3 below in the next step.

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A: Givenmean(μ)=268standard deviation(σ)=13

Q: A national achievement test is administered annually to 3rd graders. The test has a mean score of 80…

A: A national achievement test is administered annually to 3rd graders. The test has a mean score of 80…

Q: The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 340 grams and a…

A: We have to find probability

Q: Do men take less time than women to get out of bed in the morning? The 42 men observed averaged 7.6…

A: Given , n1=42 , n2 =52  x¯1=7.6 , x¯2 =9 s1=2.2 , s2 =2.1 The hypothesis will be stated as below  H0…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 264 days…

A: Let X denote the length of pregnancies in a small rural village. According to the given information.…

Q: The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a…

A:

Q: Do men take less time than women to get out of bed in the morning? The 57 men observed averaged 4.7…

A:

Q: Do men take less time than women to get out of bed in the morning? The 45 men observed averaged 4.8…

A: Given that, The 45 men observed averaged 4.8 minutes to get out of bed after the alarm rang. Their…

Q: The heights of adult men in America are normally distributed, with a mean of 69.7 inches and a…

A: As per our guidelines we are suppose to answer three sub parts. Given,For adult…

Q: Assume that the distribution of scores on a college entrance exam is normal, with a mean of 500 and…

A: We have to find z score and from z table probability.

Q: It is possible to score higher than 1600 on the combined mathematics and reading portions of the…

A: The proportion of SAT scores were actually higher than 1600 is,

Q: A previous study claims that the average time a teenager spends browsing his social media accounts…

A: Sample size(n)=100 Population mean(μ)=6 Sample mean(x)=5.5 Standard deviation(σ)=0.5

Q: A class midterm had an average score of 75% with a standard deviation of 4%. Based on your answer…

A: Unusual: When z-score is less than -1.5 and greater than 1.5 then the event is said to unusual. The…

Q: The heights of adult men in America are normally distributed, with a mean of 69.8 inches and a…

A: Given: X=Heights of adult men in AmericaX~NμX=69.8,σX=2.62 Y=Heights of adult women in…

Q: A study at school showed that the mean number of students in a class was 20 with a standard…

A: Given mean number is 20 = m Given standard deviation is 7 = sd Given student number is 24 = x We…

Q: The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 350 grams and a…

A: The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 350 grams and a…

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Given Information Mean µ = 260 Standard deviation(σ) = 14

Q: . Suppose that the mean chest size of certain soldiers is 39.8 inches with a standard deviation of…

A: We have given that.   X~N( μ , ?^2 )   μ = 39.4 , ? = 2.2   Z-score =( x - μ )/?

Q: The weight of an organ in adult males has a bell-shaped distribution with a mean of 310 grams and a…

A: Empirical rule  μ±σ = 68%μ±2σ = 95%μ±3σ = 99.7%

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 260 days…

A: Assume random variable X denotes the lengths of pregnancies in a small rural village. It is given…

Q: In order to set rates, an insurance company is trying to estimate the number of sick days that full…

A: Given Margin of error=1 Standard deviation=3.6 Significance level=0.05

Q: The scores on a psychology exam were normally distributed with a mean 56 of  and a standard…

A:

Q: Mark was asked, "To what extent are you a Math person?" He rated himselfa 6 on a 7-point scale.…

A: Here use z score for  determining the statement correct or not

Q: The heights of adult men in America are normally distributed, with a mean of 69.1 inches standard…

A: NOTE: As per the guidelines, we are supposed to solve the first 3 sub parts only. a). Given:…

Q: 2. If the heights of a male youngsters are normally distributed with a mean of 60 inches and a…

A:

Q: Is is unusual for someone to run a 4 minute mile if the mean time is 10.2 minutes and the standard…

A: From the provided information, Mean (µ) = 10.2 Standard deviation (σ) = 2.9 X~N (10.2, 2.9)

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 269 days…

A: Given- μ=269σ=15X~N(269,15)n=56

Q: It is possible to score higher than 1600 on the combined mathematics and reading portions of the…

A: SAT scores are normally distributed with mean = 1017 and standard deviation = 217proportion of SAT…

Q: Do men take less time than women to get out of bed in the morning? The 42 men observed averaged 7.6…

A: Given : Men  Sample size = nm = 42 Mean = xm = 7.6 Standard deviation = sm = 2.2 Women  Sample size…

Q: an in adult males has a​ bell-shaped distribution with a mean of 350 grams and a standard deviation…

A: As per the empirical rule for normal distribution, 68%, 95% and 99.7% of the values lie within one,…

Q: stributed with a mean of 100 and a standard deviation of 16. Find the proportion of people in the…

A:

Q: The mean ACT score for 43 male high school students is 21.1 and the standard deviation is 5.0. The…

A: From the given output use the p-value to make your conclusion.

Q: 3. The annual per capita consumption of ice cream (in pounds) in the Philippines can be approximated…

A:

Q: on an exam, Tom scores 12 points above the mean and has a z-score of z=+2.00. the standard deviation…

A: It is given that the difference between mean and raw score is 12 and the z score is 2.

Q: 2. Alfred scored 82 in a quiz in English for which the average score of the class was 75 with a…

A: GivenAlfred scored 82 in a quiz in english with Mean(μ)=75standard deviation(σ)=10score 70 in a quiz…

Q: The weight of an organ in adult males has a​ bell-shaped distribution with a mean of 330 grams and a…

A:

Q: Use z scores to compare the given values.   The tallest living man at one time had a height of 245…

A: The z-score of a random variable X is defined as follows: z = (X – µ)/σ. Here, µ and σ are the mean…

Q: An examination was given to 50 students of a college A and to 60 students at College B. At A, the…

A: Given that : Collage A                   nA= 50 MA = 75  sA = 9  Collage B  nB = 60 MB= 79 sB = 7…