The mean score for a test is 87 with a standard deviation of 12.  Assuming a normal distribution for the scores:  a. What is the probability that a student selected at random scored

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given information Mean µ = 150 Standard deviation σ = 10

Q: Given a normal distribution with a mean of 150 and a standard deviation of 10, what is the…

A: Given,   Mean = 150 Standard deviation = 10

Q: Given a normal distribution whose mean is 590 and whose standard deviation is 74, find the…

A:

Q: Assuming that the scores of the student in a test are normally distributed with the mean of 40 and…

A: Given data mean =40 ,standard deviation =6

Q: For any Normal Distribution, approximately . of the observations fall within three standard…

A: Normal distribution is given.

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A: Suppose that people’s heights (in centimeters) are normally distributed, with a mean of 170 and a…

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A: (a) From the given information The mean is 65 in. and a standard deviation is 2.5 in. The mean x¯ of…

Q: For a normal distribution with a mean of µ = 80 and a standard deviation of σ = 10, what is p(X<95)?…

A:

Q: For any normal distribution, about 68 % of the data lie within one standard deviation of the mean.…

A: The empirical rule, also referred to as the three-sigma rule or 68-95-99.7 rule, is a statistical…

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A: a. Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: Suppose the people living in a city have a mean score of 35 and a standard deviation of 10 on a…

A: Heh there! Thanks for posting the question. Your question has more than three sub-parts. However, we…

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A: Given : The mean amount spent per year on reading and entertainment is $1,994. Assume that the…

Q: Given a distribution that has a mean of 37 and a standard deviation of 12, calculate the probability…

A:

Q: Suppose that the scores on a statewide standardized test have a bell shape distribution with a mean…

A: Given that Mean = 79,s.d=6 (b) P(X&gt;97 )=? (c) P(X&lt;73) =? (d)P(61&lt;x&lt;85) =?

Q: The students in an AFDA class have a mean height of 66 inches and a standard deviation of 7 inches.…

A: Mean(µ) = 66Standard deviations (σ) = 7

Q: The prices of all college textbooks follow a bell- shaped distribution with a mean of $100 and a…

A:

Q: For a normal distribution with a mean of μ = 10 and a standard deviation of σ = 2, what is p(5<X<15)

A: It is given that X follows N(mean = 10, SD = 2), then Z = (X - mean)/SD follows N(0,1)

Q: For a mean of 70 and a standard deviation of 8, find standardized score for a value of 80. O - 1.25…

A: From the provided information, Mean (µ) = 70 Standard deviation (σ) = 8

Q: Suppose that the mean cranial capacity for men is 1070 cc (cubic centimeters) and that the standard…

A: We need to complete the given statements assuming that men's cranial capacities are normally…

Q: The scores from a state standardized test have a​ bell-shaped distribution with a mean of 100 and a…

A: By using empirical rule we know…

Q: For a normal distribution with a mean of μ = 90 and a standard deviation of σ = 5, what is p(X>87)?…

A: We have given the following information about the normal distribution Mean = 90 Standard deviation…

Q: Given a standardized normal distrubtion (with a mean of 0 and a standard deviation of 1, as in Table…

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

Q: On a normal distribution, four participants obtained the following deviation scores: –5, 0, +3, and…

A: Consider that the mean and standard deviation of a random variable X are µ and σ, respectively.…

Q: On a standardized exam, the scores are normally distributed with a mean of 650 and a standard…

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Q: f the mean age of the managers in company is 52 years with a standard deviation of 2.5 years, what…

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Q: A soft-drink dispenser can be adjusted to deliver any fixed number of ounces of soft-drink. If the…

A:

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(x 93)? O A.…

A:

Q: 1. Assume the speed of vehicles along an open stretch of a certain highway in Texas that is not…

A: Hey there! Thank you for posting the question. Since your question has more than 3 parts, we are…

Q: Given a scenario where n=100 and p=0.8, find the standard deviation.

A: In this case the sample size is n = 100 and p = 0.8.

Q: A normal distribution has a mean of u=54 and a standard deviation of o=6, what is the probability of…

A: Let "X" be the raw score.

Q: Given a normally distributed set of scores with mean = 86.5 and standard deviation a = 11.4,…

A: Z-scores provides the information about the location of the scores in terms of standard deviation.…

Q: Suppose the people living in a city have a mean score of 35 and a standard deviation of 9 on a…

A:

Q: Given that X is normally distributed with a mean of 50 and a standard deviation of 4, determine P(45…

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Q: For a normal distribution with a mean of μ=85and a standard deviation of σ=20, find the proportion…

A:

Q: Given a distribution with a mean of 80 and a standard deviation of 10, what is the probability of a…

A: Given that  Mean=80 , Standard deviation=10 Find  P(X&lt;=65)

Q: Given that the mean weight of senior high school students is 65kg with a standard deviation of 10.…

A: Given information Population mean µ = 65 kg Standard deviation σ = 10 We have to determine the…

Q: For a normal distribution with a population of  μ = 54 and a standard deviation of σ = 12, find the…

A:

Q: If the mean score on a math quiz is 12.6 and 38.2​% of the students in your class scored between…

A: Mean = 12.6 area between 11.1 and 14.1 is 38.2%

Q: For a normal distribution with a mean of µ = 100 and a standard deviation of σ = 10, what is…

A:

Q: Given that we have a normal distribution with mean 73 and standard deviation of 13 for an English…

A:

Q: Q- For a sample of washers produced by a machine is normally distributed with mean inside diameter…

A: Hello! As you have posted 2 different questions, we are answering the first question. In case you…

Q: Suppose a normal distribution has a mean of 79 and a standard deviation of 7. What is P(xs 93)? O A.…

A:

Q: The mean length of a human pregnancy is 269 days, with a standard deviation of 10 days. Use the…

A: According to empirical rule.

Q: For a normal distribution with a mean of μ = 60 and a standard deviation of σ = 10, find the…

A: Given data, μ = 60 σ = 10

Q: John beale of stanford, ca, recorded the speeds of car driving past his house, where the speed limit…

A: Given: μ=23.84σ=3.56 a) The Z score is obtained as below: z=x-μσ=20-23.843.56=-3.843.56=-1.08 Thus,…

Q: For a normal distribution with ?= 15.7 and ?= 2.3, when computing P(X < 12.9) will the shaded region…

A: Given Mean μ=15.7 Standard Deviation σ =2.3 computing P(X &lt; 12.9)

Q: The annual incomes of all MBA degree holders working in Los Angeles have a bell-shaped distribution…

A: From the provided information, Mean (µ) = $78,000 Standard deviation (σ) = $11,000 Let X be a random…

Q: Given a normal distribution with a mean of 130, and a standard deviation of 4.5, find the value of a…

A: Z-score corresponding to a normal variable value X is      (X-mu)/sigma Where,      X = normal…

Q: Assume that the heights of blocks are normally distributed, with a mean of 14.6 inches and a…

A:

Q: What proportion of a normal distribution corresponds to z scores greater than -0.82?   Question 10…

A: According to the given information, we have Z score = -0.82 (Right tailed)

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.