For numbers 5-8, refer to the following problem. The average precipitation for the first 8 months of the year is 18.35 inches with a standard deviation of 2.2 inches. Assume that the average precipitation is normally distributed. 5. What is the average precipitation of 5 randomly selected years for the first 8 months? A. 18.35 inches B. 19.32 inches C. 19.35 inches D. 20 inches 6. What is the standard deviation of 5 randomly selected years for the first 8 months? A. 0.9720 B. 0.9837 C. 0.9839 D. 0.9930 7. What is the probability of 5 randomly selected years will have an average precipitation greater than 19 inches for the first month? A. 0.2454 B. 0.2546 C. 0.2645 D. 0.2735 8. What is the probability of 5 randomly selected years will have an average precipitation less than 17 inches for the first month? A. 0.9147 B. 0.4790 C. 0.2454 D. 0.0853

Q: The average time to travel to work for a person living and working in Grand Rapids is 17 minutes.…

A:

Q: For numbers 5-8, refer to the following problem. The average precipitation for the first 8 months of…

A: Given Information: The average precipitation for the first 8 months of the year is 18.35 inches with…

Q: Suppose that the mean cranial capacity for men is 1040 cc (cubic centimeters) and that the standard…

A:

Q: Use the following for problems 9 and 10. The number of DVDS rented daily at DVD rental machine has a…

A: Solution: Let X be the number of DVDs rented daily at DVD rental machine. From the given…

Q: Researchers at a National Weather Center in the north-eastern United States recorded the number of…

A: State the hypotheses. That is, there is no sufficient evidence to conclude that the past four years…

Q: Carol-Anne is an environmental scientist studying the heights of red oak trees in a nearby marsh and…

A: It is given that the researcher randomly selected 10 red oak trees from each habitat and records the…

Q: In a population of ages where the mean age is 45 and the standard deviation is 5.25, what are the…

A: Given mean age = 45Standard deviation = 5.25The Z score with 0.0505 to its left is -1.64 and the Z…

Q: The income of a group of 10,000 persons was found to be normally distributed with mean AED 1750pm…

A: here given  mean =  1750  standard deviation  =  50  here use excel command for probability from…

Q: A doctor measured serum HDL levels in her patients, and found that they were normally distributed…

A: Given serum HDL levels in patients are normally distributedmean = 62standard deviation = 3.6The Z…

Q: a. A student whose grade is 83 would be at the 19th percentile. b. A student whose grade is 90 would…

A: According to our guidelines, we can answer only three subparts, so please repost the rest parts.

Q: Solve the following: Given the average age of a man which is 50 years old and has a diabetes with…

A: Provided information is ; Let X be the age  of man Average(μ)=50 years old Standard deviation(σ)=7…

Q: Suppose that the annual rainfall in Ferndale, California, is known to be normally distributed, with…

A: P(X>x)=2.1% x=?

Q: The next four questions refer to the following scenario: A bank collected data of all its customers.…

A: Given Information: Good Credit: x¯=500 σ=75 Bad Credit: x¯=300 σ=75

Q: For two groups of observations the following results were available: Group I E(X-5) = 8 E(X- 5)? =…

A: Given that  Then we have to find combine mean and standard deviation of two groups:

Q: Suppose that, for a certain exam, a teacher grades on a curve. It is known that the mean is 60 and…

A:

Q: The lengths of pregnancies in a small rural village are normally distributed with a mean of 268 days…

A:

Q: For items 19 – 20, refer to the following: The time it takes for Grade 11 students in a certain…

A: Given Let X be random variable denotes the time taken by the student to complete a physical fitness…

Q: If the distribution of weight of newborn babies in Maryland is normally distributed with a mean of…

A:

Q: Suppose that you have a X= 75 on an exam with Ú=70. Which standard deviation would give you a better…

A: Given : Suppose that you have a X= 75 on an exam with Ú=70

Q: Suppose the mean and standard deviation of the GPAs at Loyola are  Xbar = 1.675; and s = 1.047…

A:

Q: Suppose you compared 2 independent samples. The first sample contained 10 people, had a mean score…

A: Given that,mean(x)=37.6standard deviation , s.d1=1.5number(n1)=10mean(y)=34.2standard deviation,…

Q: For the following, scores on a psychology exam were normally distributed with a mean of 67 and a…

A: As per our guidelines we are suppose to answer three sub parts.

Q: The tallest living man at one time had a height of 246 cm. The shortest living man at that time had…

A: The provided information is  µ=170.86 cmσ=8.41 cmThe z score for tallest living man at one time time…

Q: Suppose the weights of 3-month-old babies are normally distributed-baby boys with a mean of 14.4…

A: For baby girls, μ=12.8σ=1.7

Q: Suppose that the scores on a statewide standardized test are normally distributed with a mean of 71…

A:

Q: Suppose that, for a certain exam, a teacher grades on a curve.   It is known that the mean is 65…

A: According to Empirical rule, middle 68.2% of students receive C. Nreceive C=0.682×25…

Q: The wind speeds throughout the month of April were normally distributed with a mean of 17 mph and a…

A: .

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

A:

Q: Use the fact that you have a distribution with a mean of M = 20 and a standard deviation of s = 2 to…

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

Q: A doctor measured serum HDL levels in her patients, and found that they were normally distributed…

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: Suppose that the average reading speed of students completing a speed-reading course is 500 words…

A:

Q: According to a Human Resources report, a worker in the industrial countries spends on average 419…

A: Solution

Q: Assume that males have a mean hieght of 69.1 in. with a standard deviation of 2.9 in., and females…

A: Given  that  males have a mean height of 69.1 in. with a standard deviation of 2.9 in. and  female…

Q: Use the following information for questions 1 and 2  The average time to travel to work for a…

A:

Q: For numbers 5-8, refer to the following problem. The average precipitation for the first 8 months of…

A: Given Information: Mean μ=18.35 inches Standard deviation σ=2.2 inches. Sample size n=5 5) To find…

Q: suppose the average time to fill a routine prescription at a local pharmacy is 35 minutes based on…

A: Given data,Mean μ=35sd    σ=11x=48z=?

Q: Suppose you have already calculated the mean, the average deviation, and the standard deviation of…

A: (a) Condition for Average Deviation: If the value of the observation is increased or decreased by a…

Q: Alice was told that her reading test score was one standard deviation below to me if test scores…

A: Given that, Alice was told that her reading test score was one standard deviation below to me if…

Q: Based on a survey, the mean weekly allowance of the Grade 11 students of XZY University is ₱750.00…

A: Solution:- from given information mean μ=750 standard deviation σ=100assuming the weekly allowance…

Q: A sample of n = 25 scores has a mean of M = 83 and a standard deviation of s = 15.   Explain what is…

A: In this case, the sample size is n = 25, the sample mean is M = 83 and the sample standard deviation…

Q: Suppose the scores on an exam havea mean of 70 with a standard deviation of 10. If one student has a…

A: Mean = 70 Std dev = 10

Q: Suppose that the mean cranial capacity for men is 1040 cc (cubic centimeters) and that the standard…

A:

Q: Here * denotes the lost values. If it was known that the mean of the marks was 56 and the standard…

A: The combined mean is given by

Q: Find P(11<X<15) If X is normally distributed with a mean of 14 and a standard deviation of 2?

A:

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

A:

Q: The results from a statistics class’ first test are as follows: The average grade obtained on the…

A: A normal distribution is also called bell shaped curve which is symmetric about the mean. The…

Q: For a population with a population mean = 60 and a population standard deviation = 9, find the score…

A: For a population with a population mean = 60 and Population standard deviation = 9

Q: For items 7-8: The Principal decided that the top 30% of the class with the highest grades in…

A:

Inverse Normal Distribution

The method used for finding the corresponding z-critical value in a normal distribution using the known probability is said to be an inverse normal distribution. The inverse normal distribution is a continuous probability distribution with a family of two parameters.

Mean, Median, Mode

It is a descriptive summary of a data set. It can be defined by using some of the measures. The central tendencies do not provide information regarding individual data from the dataset. However, they give a summary of the data set. The central tendency or measure of central tendency is a central or typical value for a probability distribution.

Z-Scores

A z-score is a unit of measurement used in statistics to describe the position of a raw score in terms of its distance from the mean, measured with reference to standard deviation from the mean. Z-scores are useful in statistics because they allow comparison between two scores that belong to different normal distributions.