3. Which of the following accurately describes the proportions in the tails of the normal distribution? a. proportions in right-hand tail is positive, and proportions in left-hand side are negative. b. proportions in both sides are negative. C. proportions in both sides are positive.

Q: 11. In a normal distribution, approximately 95% of the data are contained within one standard…

A: 11. Empirical Rule: 68% of the values lies between one standard deviation from the mean. 95% of the…

Q: In a normal distribution, the ___________ focuses on 50% of the cases instead of the highest and…

A: Out of all probability distributions, the normal distribution is very popular and widely used for…

Q: For any normal distribution, the mean, median, and mode will have the same value.

A: Our aim is to find the given statement is true of false

Q: What proportion of a normal distribution is located between each of the following z-score…

A: z score belongs to N(0,1) where,  mean(μ)=0 standard deviation(δ)= 1 Let X be a random variable…

Q: Which of the four sets of data represents a normal distribution? O { 10, 12, 13, 13, 13, 14, 16} O…

A:

Q: Which of the following is closest to the shaded area under the normal distribution curve shown?

A: The area under the curve is less than 2 standard deviations away from the mean. Thus, around 97.5%…

Q: Which graph represents a normal distribution? а. С b. В C. A d. D Which is true about the standard…

A: We have to choose the correct graph about Normal distribution.

Q: If the weights of 1,000 adult men in a county are plotted on a histogram, which curve is most likely…

A: For large n we use normal approximation.  And normal distribution shape is like bell.

Q: If a distribution is normal with μ = 10 and σ = 5, what is the z score of 20?

A:

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

A:

Q: The following data are approval ratings for a new restaurant: 45, 27, 87, 99, 91, 90, 78, 77, 80,…

A:

Q: In a normal distribution of scores, four participants obtained the following deviation scores:…

A: Given Information:  Deviation scores = -1, +2, +3 , -0.15

Q: In general, the ______ sample size, the closer the shape of the distribution of sample means is to a…

A: In general, the ______ sample size, the closer the shape of the distribution of sample means is to a…

Q: Consider the given figure below and answer the following questions. Questions: 1. Which of the…

A: We have give the figure of three nomal curves A ,B & C. We need to answer the following: 1.…

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for…

A: The given information is that the scores distributed normally with mean 3 and variance is 49. The…

Q: Which of the following characteristics does not apply to a theoretical normal distribution? The…

A: Theoretical normal distribution is given.

Q: (d) Is it reasonable to assume that the above data come from a population that follows a normal…

A:

Q: If a distribution is normal with μ = 60 and σ = 15, what is the z score of 40?

A:

Q: A normal distribution curve has an egg shape when plotted. O True O False

A: Normal Distribution Curve The normal distribution is a symmetrical distribution function on both…

Q: In a normal distribution, about what percent of the data lies within one, two, and three standard…

A: We have to determine the percentage between (mean - SD, mean + SD), (mean - 2SD, mean + 2SD) and…

Q: For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?​   a.…

A: Concept: For a perfectly symmetrical distribution Mean and median are same.

Q: There are many different ways to determine whether or not a data set has a normal distribution. O…

A: Find your answer below

Q: Find the following percentiles for the standard normal distribution. a) 79th b) 35th c) 55th

A: Percentile is a number where a certain percentage of scores fall below that number a) 79th…

Q: 5. What proportion of a normal distribution is located between the mean and z= -1.40?

A: Here we have to find  P(-1.40 < x < 0)

Q: Which of the following is the best measure of central tendency for a symmetric distribution?

A: Given:  Best measure of central tendency for symmetric data ?

Q: In a positively skewed distribution, the mean is larger than the median and the median is larger…

A: We know that of the three statistics, the mean is the largest, while the mode is the smallest.  If…

Q: -What proportion of the normal distribution is in the tail beyond z= +2.00?

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

Q: Which of the following z-scores is required to be in the bottom 12% of a normal distribution? 1.18…

A: See the handwritten solution

Q: When the mean is smaller than the median, and the median is smaller than the mode, the distribution…

A:

Q: Which of the following lies in the centre of the normal distribution curve? O a. Mean, Median and…

A: For normla distribution Distribution is symmetric .

Q: For a positively skewed distribution with a mean = 20, What is the most probable value of the…

A:

Q: If you observe the values of a normally distributed variable for a sample, a normal probability plot…

A: Requirement of normal distribution:If the plot is roughly linear then the variable is approximately…

Q: For a perfectly symmetrical distribution with a median of 30, what is the value of the mean?

A: It is given that the distribution is perfectly symmetric and the median is 30.

Q: In a normal distribution, 31% of the items are under 45 and 8% are over 64. Find the mean and the…

A: Given Data: Let X represent the variable P(x<45)=0.31 P(x>64)=0.08   X~ Normal μ, σ2   To…

Q: makes a distribution a normal distribution?

A: Properties of normal distribution  a) The mean , median and mode of a distribution is same it is…

Q: For a normal distribution with a mean of μ = 120 and σ = 20 What range of scores would form the…

A: Solution

Q: Which of the following histograms could be modeled by a normal distribution?

A: Given ,  The above graph is the right skewed. Therefore it is not the symmetric distribution. Hence…

Q: Under what circumstances is the distribution of sample means guaranteed to be a normal distribution?

A: A population includes all members from a specified group, all possible outcomes or measurements that…

Q: Find the 99th percentile of a normal distribution with mean 5 and variance 1. 1.28 .99 O 1.645 7.33

A: Given that mu =5,s.d =1,p value =0.99

Q: 2. If a chart shows that more than 80 percent of the students received either an A or B in the…

A: The given is inferred to indicate the proportion of students, who recieved either A or B in the…

Q: Which statement accurately describes the proportions in the tails of a normal distribution? O The…

A: Normal distribution has a bell shaped curve, where proportions in both the left-hand and right-hand…

Q: Could this curve represent a normal distribution?

A:

Q: In a normal distribution with mean 3 and variance 49, what are the upper and lower limit scores for…

A: Solution: Let X be the random variable. From the given information, the distribution is normal with…

Q: The mean, median, and mode of a normal distribution are (Choose one) each other. standardized by…

A: For Normal distribution, mean, median and mode are coincide.

Q: A salesman makes initial telephone contact with potential customers in an effort to assess whether a…

A:

Q: 4. What proportion of the normal distribution is located in the tail beyond z= -1.50?

A:

Q: Suppose you have a distribution with a mean equal to 100, median equal to 75, and mode equal to 50.…

A: Given that  Mean =100 Median =75 And Mode=50

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)