Suppose x has a distribution with a mean of 70 and a standard deviation of 20. Random samples of size  n = 64  are drawn.   (a) Describe the x distribution  and compute the mean and standard deviation of the distribution.           distribution with mean ?x =          and standard deviation ?x =  . (b) Find the z value corresponding to  x = 72.5. z =

Q: Suppose the mean blood pressure for people in a certain country is 123 mmHg with a standard…

A: given data, normal distributionμ=123σ=20n=12we have to find out the given probabilties.

Q: Assume that X is normally distributed with a mean of 12 and a standard deviation of 2. Determine…

A: From the provided information, Mean (µ) = 12 Standard deviation (σ) = 2

Q: Use the formula to find the standard error of the distribution of differences in sample means,…

A:

Q: For a frequency distribution of marks in History of 200 candidates (grouped in intervals of…

A: Given information, There are 200 candidates. Given mean is 40. Mean=Sum of valuesNumber of…

Q: P(X) 8- 0.13 4 0. i6 0.23 니 |0-48

A: Given information- We have given the probability distribution for X.

Q: Scores for men on the verbal portion of the SAT-I test are normally distributed with a mean of 509…

A:

Q: The distribution of scores on a mathematics placement exam is close tonormal. Where the mean is x¯ =…

A: 68-95-99.7-rule:Let X be an observation from a normal distribution, having mean µ and standard…

Q: ​Claim: The standard deviation of pulse rates of adult males is more than more than 1010 bpm. For a…

A: From the provided information, Sample size (n) = 164 Sample standard deviation (s) = 10.8 The claim…

Q: Suppose a randomly selected sample of n = 50 men has a mean foot length of X = 28.1 cm, and the…

A: given data sample size (n) = 50sample mean ( x¯ ) = 28.1sample standard deviation (s) = 495% ci for…

Q: A sample has a mean of M =75 and a standard deviation of s = 15 . Find the z-score for each of the…

A: Given that, Mean (M) =75 Standard deviation (s) = 15

Q: Find the standard deviation, s, of sample data summarized in the frequency distribution table below…

A: Class Frequency 20 - 26 1 27 - 33 3 34 - 40 9 41 - 47 3 48 - 54 18 55 - 61 39 62 - 68…

Q: The standard deviation of Binomial distribution, P(X = x)= 3C is a. 0.667 b. 1/3 c. 0.816 d. 2/3…

A:

Q: A set of data items is normally distributed with a mean of 900 and a standard deviation of 30. Find…

A: The data item is normally distributed with     Mean, m = 900    Standard deviation, s = 30   Then,…

Q: The Z-score tells you the number of standard deviations away from the mean (and X- can be used to…

A: Given data: Population mean = 144 Population standard deviation = 18 Data value  (X)  = 88 To find:…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 98.2 and a standard…

A: Refer Standard normal table/Z-table, Lookup for z-score corresponding to area 0.25 to the left of…

Q: 7. The scores of individual students on a national test have a normal distribution with mean of 18.6…

A:

Q: Today, the waves are crashing onto the beach every 5.6 seconds. The times from when a person arrives…

A: As per the Bartleby guildlines we have to solve first three subparts and rest can be reposted.....…

Q: Suppose a dishwasher has a mean life of 12 years with an estimated standard deviation of 1.11 years.…

A: given data normal distributionμ = 12σ = 1.11n= 10

Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling…

A: Given,sample size(n)=23mean(μ)=$235standard deviation(σ)=$60

Q: Assume that the readings at freezing on a batch of thermometers are normally distributed with a mean…

A: The provided information is as follows:The random variable  is readings at freezing on a batch o…

Q: Suppose the mean blood pressure for people in a certain country is 123 mmHg with a standard…

A: Answer: - Given, the mean blood pressure for people in a certain country is μ = 123 mmHg with…

Q: The probability that a randomly selected adult has an IQ less than 128 is (Type an integer or…

A: Given:  Consider X as a random variable that follows a normal distribution with mean 22 and…

Q: A variable of two populations has a mean of 50 and a standard deviation of 12 for one of the…

A: Given that: The first population's sample mean and sample standard deviation are as follows:…

Q: A A standardized exam's scores are normally distributed. In a recent year, the mean test score was…

A: The mean was 1537 and the standard deviation was 317.

Q: if var(2x) = 16 then the standard deviation of x= Answer: 2

A: The variance is calculated as Var(ax)=a2Var(x)

Q: The length of human pregnancies from conception to birth follows a Normal distribution with a mean…

A: Given that  μ=266,σ=16 X~Normal(μ=266,σ=16)

Q: Today, the waves are crashing onto the beach every 4.9 seconds. The times from when the shoreline…

A: Solution

Q: A recent survey conducted by a foundation reported that 67% of teens admitted to texting while…

A: GIVEN DATA,P=0.67n=39here according to given data we have to use normal approximation to the…

Q: 46 and 46 solve both

A:

Q: A random variable is not normally distributed, but it is mound shaped. It has a mean of 18 and a…

A: GivenMean(μ)=18standard deviation(σ)=2sample size(n)=40

Q: The Z-score tells you the number of standard deviations away from the mean (and in what direction) a…

A: Given, mean (μ) = 173 standard deviation (σ) = 19 Z score = 0.56

Q: IQ scores are normally distributed with a mean of 100 and a standard deviation of 17. Assume that…

A: Given Mean=100 Standard deviations=17

Q: Once a week, Bill rows his boat from the island where he lives to the mainland. The journey time, X…

A: Given that the mean μ and the standard deviation σ Given that  P(X<20)=0.63P(X<30)=0.95…

Q: Use the formula to find the standard error of the distribution of differences in sample means x̅…

A:

Q: Adult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the…

A: Given data mean=69.0 inches standard deviation=2.8 inches x=79.7 inches

Q: Today, the waves are crashing onto the beach every 4.6 seconds. The times from when a person arrives…

A: Continuous uniform distribution:A random variable X is said to have the rectangular distribution or…

Q: Use the Central Limit Theorem to find the mean and standard error of the mean of the sampling…

A: The mean of the distribution of sample means is, μx¯=μ=246 Thus, the mean of the distribution of…

Q: the mean is 146, and standard deviation is 35. A score of 181 is how many z-scores above the mean?

A:

Q: On a planet far far away from Earth, IQ of the ruling species is normally distributed with a mean of…

A: The provided information are: Population meanμ=112Standard deviationσ=17 Consider X be a random…

Q: The Z-score tells you the number of standard deviations away from the mean (and in what direction) a…

A: Given datamean=115standard deviation=12x=89

Q: Refer to the frequency distribution and find the standard deviation by using the formula…

A: The given frequency distribution is:Blood Platelets Count of Males…

Q: The standard deviation in the pressure required to open a certain valve is known to be o=1.2 psi.…

A:

Q: An SRS of 25 recent birth records at the local hospital was selected. In the sample, the average…

A: given data  normal distribution n = 25σ = 6.5x¯ = 119.6describe sampling distribution.

Q: The mean for statistics test scores is 61 and the standard deviation is 6.0. For the biology test…

A: Since the scores of the tests are on a different scale, they cannot be compared just on the basis of…