A set of exam scores is normally distributed with a mean = 78 and standard deviation Use the Empirical Rule to complete the following sentences. 5. %3D %3D 68% of the scores are between and 95% of the scores are between and 99.7% of the scores are between and

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…

Q: For a population with a standard deviation of o=20 find the z score for each of the following…

A: Solution Where,

Q: A random sample of 6 people who went on a diet recorded their weight loss (in pounds) "xx" after 3…

A: Basics:   Mean x=ΣxnStandard deviation is given by:  S.d=Σx2-nx2n-1

Q: Need the answer to question 6.

A: (6)The provided information are:

Q: A set of data items is normally distributed with a mean of 500. Find the data item in this…

A:

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: From the provided information, Mean (x̅) = 14 hours Standard deviation (s) = 3.3 hours a) Using…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: a. Empirical rule: The probability that the observation under the normal curve lies within 1…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: According to the empirical rule, Approximately 68% of data points lies within the one standard…

Q: A golfer claims that his average golf score at the course he plays regularly is less than 90. A…

A: Given information- Sample size, n = 35 Population standard deviation, σ = 3.4 True population mean,…

Q: A distribution of integer scores is approximately normally distributed with a mean of 147 and a…

A: It was stated that a distribution of integer scores is approximately normally distributed. The mean…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: From the provided information, The estimators of µ and σ are as follows: a) Using empirical rule,…

Q: The wingspan of a rare butterfly is normally distributed with mean (u) 12.0 mm and standard…

A: GivenMean(μ)=12 mmstandard deviation(σ)=2 mm

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A:

Q: On an Engineer Licensure Exam with a population mean of 83 and standard deviation of 8. Jenny scores…

A:

Q: “Normal” BMI is up to 25 kg/m2. A laboratory study is being conducted to determine energy…

A: Given, The researcher already subtract 25kg/m2 in each of the person. After subtraction the mean was…

Q: A set of scores has a mean of 5.8 and a standard deviation of 2.3. Calculate the z scores for the…

A: Given Data: Meanμ=5.8 Standard deviationσ=2.3   To Find: z-score for a) 2.1 b) 5.7 c) 7.3 d) 12.4

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: From the provided information, Mean (µ) = 12 hours Standard deviation (σ) = 3.2 hours

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: 68-95-99.7-rule:Let X be an observation from a bell shaped distribution, having mean x-bar and…

Q: A test was made of H0 "1=2 versu : "1 <H2 The sample means H = 16 and x, = 7, the sample standard…

A: From the given information, n1=17 n2=18 Formula for degrees of freedom is, df=n1+n2-2

Q: Use the following graph to answer the questions below. 1.0 0.8 0.6 0.4 0.2 0.0 -5 -2 4 1. Which…

A:

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: Empirical rule: The probability that the observation under the normal curve lies within 1 standard…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: It is given that the mean and standard deviation are 12 and 3.4, respectively. The sample size n is…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: Given data,n=22x=13s=3.1   By empirical rule 68% of the data lies within one standard deviations of…

Q: A population has a mean of 75 and a standard deviation of 15. You randomly sample nine people from…

A:

Q: students, and the distribution of total study hours per week is bell-shaped with a mean of 12 hours…

A: mean = 12 standard deviation = 2.8 a) 68% of the students spend between  hours and  hours on…

Q: The wingspan of a rare butterfly is normally distributed with mean (u) 12.0 mm and standard…

A:

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A:

Q: Empirical Rule

A: A survey was done on 28 students, and the distribution of total study hours per week is bell-shaped…

Q: The 2019 gross sales of all car companies in the country have a mean of 2.3 billion pesos and a…

A: Given, Mean(X)=2.3 Standard Deviation(s)=0.6

Q: n a process that manufactures tungsten-coated silicon wafers, the target resistance for a wafer is…

A: As the population standard deviation is not known, we will use t-distribution and perform a t-test.…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: Solution-: Given: μ=13hours,σ=2.6hours We find  a) 68% of the students spend between….hours and…

Q: normally distributed with a medh of 50 and a standard deviation of 10 then the 85th percentile of…

A: From the provided information, Mean (µ) = 50 Standard deviation (σ) = 10 X~N (50, 10) Here X be a…

Q: Use the empirical rule to solve the problem. 15) At one college, GPA's are normally distributed with…

A:

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: Given information- Sample size, n = 24 Sample mean, x-bar = 13 hours Standard deviation, σ = 2.5…

Q: The wingspan of a rare butterfly is normally distributed with mean (µ) 12.0 mm and standard…

A: μ=12, σ=2

Q: QS. The amount of sugar (X) contained in 2-kg packets is actually normally distributed with a mean…

A: Given : For (d) u(mean)=2.03 kg  σ(standard deviation)=0.014  kg For (e) u(mean)=2.05 kg  σ(standard…

Q: 1. The number of cars X, used for official business purposes on any given workday of two companies,…

A: Part a: The mean and the standard deviation for both the companies are computed as, For company A:…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: Given,Mean μ =  14standard deviation σ = 3.3

Q: What is the z-score of x = 9 if it is 1.5 standard deviations to the left of the mean? a. z= + 1.50…

A: The given information is- x = 9 is 1.5 standard deviations to the left of the mean. So, for this…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: Given  Sample mean=x̄=12, n=27 , population mean=μ=2.6, standard deviation=σ=2.6

Q: A data set has a mean of x̅= 6.8 and a standard deviation of 1.9. Find the z- score for each of the…

A: Given: mean of data x¯=6.8 Standard deviation is σ=1.9 Formula used: Here we shall use the formula…

Q: If X is normally distributed with mean of 60 and standard deviation of 5. What is the P(55<X<65)?…

A: From the provided information, Mean (µ) = 60 Standard deviation (σ) = 5

Q: If the temperature at which a certain compound melts is a random variable with mean value 115°C and…

A: It is given that  Mean = 1150C Standard deviation = 40C 0F = 1.80C + 32

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: According to the given information, we have The distribution is normal. Given that, Mean = 12 hours…

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

A: Given mean= 63.3  And standard deviation = 3.9  a)

Q: 1. Which of the following is true? a) Ds= Ps = Q5 b) Dso = Ps = Q25 c) Ds= P50 = Q2 d) Dso = Ps = Q2…

A:

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: The empirical rule predicts that 68% of observations falls within the first standard deviation (µ ±…

Q: For a 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A: a) This will be within +/- 1 sigma   x - 12 = 2.6   x = 12+/-2.6 9.4 and 14.6

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 4-unit class like Statistics, students should spend average of 12 hours studying for the…

A:

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.