Example: Assume that IQ scores are normally distributed with a mean of 100 and standard deviation of 15. Find the probability that a randomly selected adult has an IQ greater than 131.5. Find the probability that a randomly chosen person has an IQ between 90 and 110. Find the 60th percentile, P60, in the distribution of IQs.

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: In a Statistics course the professor uses the following grading policy: the bottom 5% of students…

A: Given that  b .Find the probability that a randomly selected student gets an 80 or better? c.…

Q: Human body temperatures are normally distributed with a mean of 98.2 degrees and a standard…

A: Solution

Q: Find the sample standard deviation.

A: Given that:n= 12  Sample size

Q: Assume that adults have IQ scores that are normally distributed with a mean of 96.9 and a standard…

A:

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: IQ scores are normally distributed with a mean of 100 and a standard deviation of 15. Find the IQ…

A: Excel formula: =NORMINV(0.305,0,1)=-0.5100

Q: In a normal distribution, 11% of the items are under 35 and 76% are under 83. Find the mean and…

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Q: Assume that a randomly selected subject is given a bone density test. Bone density test scores are…

A:

Q: Suppose that IQ scores have a bell shaped distribution with a mean of 101 and a standard deviation…

A: The IQ scores have a bell shaped distribution with a mean of 101 and a standard deviation of 17.

Q: The average age of vehicles registered in the United States is 96 months. Assume the population is…

A: Given that: X is normally Distributed with mean µ = 96.0 and standard deviation σ = 15.0 By using…

Q: Let X = { 1,2,6,9,11}. Find the mean and standard deviation given that X is a sample. %3!

A: The mean for the sample is calculated as follows:

Q: Assume that women have heights that are normally distributed with a mean of 63.6 inches and a…

A:

Q: Suppose that the distance of fly balls hit to the outfield (in baseball) is normally distributed…

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Q: ssume that a randomly selected subject is given a bone density test. Bone density test scores are…

A:

Q: Allegiant Airlines charges a mean base fare of $89. In addition, the airline charges for making a…

A: Given that: Mean base fare = $89 Additional Charges = $35 Sample size,  n = 50 Population standard…

Q: Scores on a math test are normally distributed with a mean of 76 and a standard deviation of 6. Part…

A: Let, X=the scores on a math test Given that X follows a normal distribution with mean=76 and…

Q: Assume the credit card balances of younger college educated employed persons are normally…

A:

Q: 2. Fill in the blanks: A standardized variable always has a mean of O and a standard deviation of…

A: 2. A standardized variable is always has mean 0 and standard deviation of 1.

Q: A company produces steel rods. The lengths of the steel rods are normally distributed with a mean of…

A: Normal distribution

Q: Suppose that the number of hours that an adult watches in a day has a mean of 2.4 hours and a…

A: Given: i. Calculate the corresponding Z score as follows: The diagram corresponding to the mean…

Q: Suppose that we know that 33.8% of the people born in the United States between 1936 and 1951 have…

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Q: According to BusinessWeek, 44% of advertisers claim they have been a victim of internet click fraud.…

A: The mean is, μ=np=120×0.44=52.8 The mean is 52.8. The standard deviation is,…

Q: Solve the problem. Assume that mountain lions' weights are normally distributed with a mean of 62.6…

A: We have given that,  X be the random variable from normal distribution with mean (μ) = 62.6 ,…

Q: The Wall Street Journal reported that 33% of taxpayers with adjusted gross incomes between $30,000…

A: given  μ=16541σ =2097

Q: 1, the mean number of goldfish in the package is 187. find the probability of choosing a package…

A: Thanks for posting the question. Since multiple questions are posted, we will answer one question…

Q: Assume that a nomral distribution has a mean of 22 and a standard deviation of 7. What percentage of…

A:

Q: The average number of minutes per week that teenagers spend texting is 250.0. Assume the standard…

A: Normal distribution is a continuous distribution which has many real life applications. Normal curve…

Q: In a survey, 80% of the voters support a particular referendum.  If 30 voters are chosen, find the…

A: Number of voters(n)=30∵80% of the voters support a particular referendum i..e. p=0.80

Q: DECISION RULE For the following hypothesis test scenario, select the correct decision regarding the…

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

A: Here we need to find the indicated iq score.

Q: The salaries of 1200 pro athletes form a normal distribution with a mean of $79,000 and a standard…

A: For the distribution of the salaries (in $) of 1200 pro athletes, which is defined to be normally…

Q: The lifespans of lizards in particular zoo are normally distributed. The average lizard lives 3.1…

A: It is given that the lifespans are normally distributed with an average lifespan of 3.1 years.   It…