3) A normal distribution has a mean of 75 and a standard deviation of 15. Determine the z-score for the data value of 85.

Q: sume that a normal distribution of data has a mean of 24and a standard deviation of 6. Use the…

A: Given that  The data is normally distributed with Mean (μ) = 24 Standard deviation (σ) = 6  We know…

Q: A normal distribution has a mean of 120 and a standard deviation of 5. Find the z-score for a data…

A: The objective of this question is to find the z-score for a data value of 119 in a normal…

Q: Assume that a set of test scores is normally distributed with a mean of 110 and a standard deviation…

A: Empirical rule of probability:- Approx. 99.7% of the data lies between ± 3 SD limit of mean μ  ±3 σ…

Q: A distribution of values is normal with a mean of 123.2 and a standard deviation of 62 Find P35,…

A: Given: A distribution of values is normal with  μ=123.2 , σ=62

Q: The mean marathon finishing time for men and women was 268 minutes and 280 minutes respectively.…

A: From the given information, The mean marathon finishing time for men and women was 268 minutes and…

Q: A normally distributed data set has a mean of 0 and a standard deviation of 2. What is the percent…

A:

Q: The class mean for the exam was 82 with a standard deviation of 6.  There are 37 students in the…

A: We have given that, Mean = 82 , standard deviation σ = 6  sample size n = 37   Standard error of the…

Q: Assume that a normal distribution of data has a mean of 23 and a standard deviation of 4. Use the…

A: Answer:- Given, Mean, µ = 23  Standard deviation, σ = 4  Using formula,  According to the empirical…

Q: Assume that the number of pieces per bag has a mean of 264 with a standard deviation of 3. use the…

A: Given :  the number of pieces per bag has a mean of , μ=264  a standard deviation of , σ =3   We…

Q: Assume that the number of pieces per bag has a mean of 72 with a standard deviation of 1.use the…

A: We have to find given probability by using emperical rule...

Q: According to data for a​ population, 3-year-old boys have a mean height of 38 inches and a standard…

A: given data normal distributionμ = 38 inchesσ = 2 inchesfor x = 42 inchespercentile = ?

Q: Diastolic blood pressures are assumed to follow a normal distribution with a mean of 85 and a…

A: Consider X be a random variable which follows normal variable indicates diastolic blood pressure. It…

Q: Score on a certain nation-wide college entrance examination follows a normal distribution with a…

A: Given Information: Mean μ=110 Standard deviation σ=60 To find the approximate percentage that a…

Q: normal distribution has a mean of 136 and a standard deviation of 4. Find the z-score for a data…

A: given data, normal distribution μ=136σ=4z score for a data value of 132=?

Q: The relative frequency histogram represents the length of phone calls on​ George's cell phone during…

A: A histogram is a visual representation of continuous data.

Q: he average height for a man in California was 177 cm in 2021. If height follows a normal…

A: given data, normal distribution, μ=177σ=10p(180<X<190)=?

Q: List a z score value that is three standard deviations away from the mean.

A:

Q: In a standardized exam the mean score is 400 with a standard deviation of 50. Assume the scores…

A: Solution

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Given data, μ=35σ=12P(X>60)=?

Q: Use Chebyshev's Theorem to find what percent of the values will fall between 120 and 150 for a data…

A: The percentage of observations that are within k std dev. of the mean is 100(1-1k2)%

Q: A normal distribution has a mean of 150 and a standard deviation of 8. Find the z-score for a data…

A: The objective of this question is to find the z-score for a data value of 151 in a normal…

Q: A normal distribution has a mean of 81 and a standard deviation of 4. Find the z-score for a data…

A:

Q: The heights of women in a particular community are normally distributed with a mean of 65 inches and…

A: We have to find given proportion..

Q: standardized test has a pop. mean of 152 and a standard deviation of 16. Jenny's z score is -0.56…

A: Given that Jenny's z score= -0.56, Nicole's z score=1.13

Q: The cholesterol levels of a group of young women at a university are normally distributed, with a…

A: Given μ=190σ=37 Let X: Random variable for the cholesterol level of young women Then X~N(190,372)

Q: Change z-score (-2.00) into X value – Mean = 50, standard deviation = 10

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

Q: What proportion of people has diastolic blood pressure less than 80?

A:

Q: The data in a data set are normally distributed with a mean of 190 and a standard deviation of 30.…

A: ∗Mean μ=190    standard  deviation σ=30    X~N 190,30 we need to find,   PX<130+PX>250=P…

Q: How is standard deviation a measure of distance?

A: We know that the standard deviation is the measure of the dispersion of data which is based on…

Q: A normal distribution has a mean of 87 and a standard deviation of 10. Find the z-score for a data…

A: Given that, Mean = 87 Standard deviation = 10

Q: Assume that an intelligence test scores are distributed normallt with a mean of 100 and a standard…

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

Q: The distribution for the time a patient of a medical center spends waiting for an appointment is…

A: Solution: Let X be the time a patient of a medical center spends waiting for an appointment. From…

Q: In a normal distribution, what percentage of scores falls below and score of -2.33

A: