A set of scores has a mean of 5.8 and a standard deviation of 2.3. Calculate the z scores for the following raw scores: 2.1, 5.7, 7.3, and 12.4.

Q: Based on the table, the standard deviation is 0.5 male. What is the variance? Include appropriate…

A: Given The data is as follows: The standard deviation is 0.5 male.

Q: In a certain city, the average 20- to 29-year old man is 69.8 inches tall, with a standard deviation…

A: Given: The man has a mean of 69.8 inches tall and a standard deviation = 3.2 The z score for the man…

Q: The average age of our class is 22.3 years.  The standard deviation is 4.7 years.  If the variable…

A: Solution: Let X be the average age of class has normal  distribution  with mean μ=22.3 years and…

Q: he mean weight of baby deer and a local zoo is 15.8 pounds with a standard deviation of 2.4 pounds a…

A: a) Given values: 14.5, 16.8, 15, 16.4, 15.9. x=sum of data valuesnumber of data values…

Q: Florida has an average temperature of 80 degrees Fahrenheit with a standard deviation of 3.5…

A: # Given : average temperature of Florida is mu1=80 degrees and standard deviations sigma1=3.5…

Q: Consider the following data and calculate the standard deviation. 6.24,  6.21,  6.24,  6.28

A: The mean is, μ=∑XN=6.24+6.21+6.24+6.284=24.974=6.2425 The mean is 6.2425.

Q: A college was conducting a phonaton to raise money to increase students’ scholarships. The president…

A: The observations of the amount pledged (in thousands of dollars) are as follows:16, 18, 11, 17, 13,…

Q: The ages of the winners of a cycling tournament are approximately bell-shaped. The mean age is 27.1…

A: Let us denote X=the ages of the winners of a cycling tournament. Given that X is approximately…

Q: A manufacturing company that produces light bulb found out that the mean life span of the bulb is…

A: Answer: Option a. 99.91%.   Explanation: A manufacturing company that produces light bulb found that…

Q: minutes. What percentage of his commutes will be between 13 and 26 minutes, to the nearest tenth?

A: Let X be the random variable that amount of time to arrive. Given that, X~N(μ=23,σ=5)

Q: The heights of 10 year old American children are normally distributed with a mean height of 4 feet…

A: Given that.   X~N( μ , ?)   μ=52 , ?=4.75   Z-score =( x - μ )/?

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

A: Let X represents the lengths of the steel rods Mean (X)=98.3 Standard deviation (X)=2.4 Therefore,…

Q: Pages in Romance Novels. A copyeditor thinks the standard deviation for the number of pages in a…

A:

Q: Find the z-score for a single member of the population which has value 86. if the population has a…

A:

Q: The annual per capita consumption of bottled water was 30.2 gallons. Assume that the per capita…

A: Given information- Population mean, µ = 30.2 gallons Population standard deviation, σ = 13 gallons…

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

A:

Q: Compute the standard deviation of the sampled proportions if p=.4 and n=500. Round to three places.

A: We want to find standard deviation  X~Binomial(n=500,p=0.4)

Q: From the following data : 23,25,41,29,50,36,37,44,30,35. Find the: Median…

A: 1. The Median is the middle number in the data set. Median for odd = n+12thvalue Median for even =…

Q: Suppose the weight of all boxes of cereal in a home with children is normally distributed with a…

A: Given : μ = 81 , σ= 8.98 and n= 10

Q: Heights for 16-year-old boys are normally distributed with a mean of 68.3 in. and a standard…

A: Given information: μ=68.3, σ=2.9 The P-value for the 96th percentile = 0.96 Determine the z-score…

Q: Beth randomly chose 30 school days and timed her drive to school on those days. Ana randomly chose…

A: Given that  We have to test hypothesis for the claim that Beth’s drive time is greater than…

Q: A nutritionist wants to determine how much time nationally people spend eating and drinking. Suppose…

A: a)  If the histogram is skewed right, there should be large sample size to make sure that the…

Q: The students in an AFDA class have a mean height of 66 inches and a standard deviation of 7 inches.…

A: Mean(µ) = 66Standard deviations (σ) = 7

Q: om's commuting time from his residence in Carmel to the IUPUI campus has a normal distribution.  The…

A: Given that  The residence in Carmel to the IUPUI campus has a normal distribution.  Standard…

Q: A standardized test has a pop. mean of 152 and a standard deviation of 16. Molly scores at the 91st…

A:

Q: Assume that the readings on the thermometers are normally distributed with a mean of 0 degrees…

A: The Z-score of a random variable X is defined as follows: Z = (X – µ)/σ. Here, µ and σ are the mean…

Q: Assume that adults have IQ scores that are normally distributed with a mean of 95.9  and a standard…

A: Given mean=95.9, standard deviations σ=24

Q: Find the Absolute Quartile Deviation for the following data. 042, 384, 591, 407, 672, 522, 777, 733,…

A: The first and the third quartile, obtained in excel using "QUANTILE.EXC()", is  Q1 = 401.25 Q3 =…

Q: A population of scores has a mean of ? = 35 and ? = 3.5. Find the z-scores that correspond to the…

A: Solution- Given that mean mu=35 and standard deviation s=3.5 Find Z score for corresponding X values…

Q: Assume that the heights of women are normally distributed with a mean of 65.4 inches and a standard…

A: We have given that  Mean=μ=65.4 Standard deviation=σ=2.7 X~Normal(μ=65.4,σ=2.7)

Q: A successful basketball player has a height of 6 feet 5 inch . Based on statistics from a data​ set,…

A: Given: z score = 2.58 The height of players in cm is 195.58 ≈196cm The formula to compute the…

Q: A batch of 1500 bottles have an average contents of 753 ml and the standard deviation of contents is…

A: Given information- Population mean, µ = 753 ml Population standard deviation, σ = 1.8 ml Sample…

Q: The weights of Ajax salmon are approximately normally distributed with a mean of 34 pounds and a…

A: GivenMean(x¯)=34standard deviation(σ)=8

Q: What is the variance and standard deviation of the following data: "20.3" "33.5" "21.8" "58.2"…

A: x x2 20.3 412.09 33.5 1122.25 21.8 475.24 58.2 3387.24 23.2, 538.24 110.4 12188.16…

Q: In order to be allowed to go on a particular kids ride at the amusement park, children must be at…

A: Let X be the height of 10 year childrens  follow normal distribution   X~N( μ=53 , ?=4.5))…

Q: The weights of the native North American Blue Jay have a mean of 18.4 ounces with a standard…

A:

Q: a variable has a mean of 100 and a standard deviation of 36. Sixteen observations of this variable…

A: Given: n=16,μ=100,σ=36,x=115,s=24

Q: Suppose that a sample is taken with an average of 110 and a standard deviation of 15. Calculate the…

A: The relative frequency is found by taking the ratio of frequency to the total frequency. So the…

Q: 30% of a patient with a certain disease will be successfully treated with a new medical treatment.…

A: it is given that, p = 0.80; n=40

Q: The local ranger station tracked and tagged 2,844 adult female black bears in a national park. A…

A: Consider a random variable X, that defines the weight of female black bears.

Q: A person records the speeds of various cars as they drive past their house. After 100 readings, the…

A: Given,mean(μ)=23.84standard deviation(σ)=3.56

Confidence Intervals

When we calculate intervals in probability and statistics, it can be simply termed as finding out a confidence interval. The confidence interval is usually calculated from the data set which is observed. The value of the parameter that needs to be calculated is present here only.