20. 12 N/3

Q: There are 5000 observations in a data set. 10% of the data are “1”s, while the rest are “0”s. If we…

A: The data set consist of 5000 observations. The observations are 0's and 1's. An amount of data…

Q: Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of…

A: Hello. Since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: Suppose next that we have even less knowledge of our patient, and we are only given the accuracy of…

A: Consider the events as; TP: Test Positive TN: Test Negative D: Disease ND: No Disease The provided…

Q: 9.8 An efficiency expert wishes to determine the av- erage time that it takes to drill three holes…

A:

Q: 4. The packaging of a certain light bulb states the bulb will last for 8000 hours under normal use.…

A: The population mean is 8000 hours. This is one-sample test. The independent variable is weight of…

Q: For a certain process, the mean was shifted by 1.5 sigma from the target. What is the number of the…

A: Given Information: The mean was shifted by 1.5 sigma. A 4 sigma process produced 6000000 units.

Q: Assume that the historical average monthly sales of a company have been $500,000. You want to…

A: The null hypothesis will be H0: μ= 500000 where μ is the parameter of the distribution and therefore…

Q: Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men…

A: 7.14   Null Hypothesis:   H0:p1=p2   That is, there is no difference between the 24-hour…

Q: Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men…

A:

Q: If you obtained a test score of 78 on a test with an average test score of your class is 70, and SD…

A: Given, -x = 70 SD = 4 n = 36

Q: 9. What is the effect size (Cohen's d) after we changed the variability to s = 10 and a= .01 in #6?

A: It is given that Sample size n = 28 Sample mean M = 88 Population mean μ = 85 Sample SD s = 10

Q: 11. y = 5 3 * tn() 15 2x А. Inin 8 (35 С. Inin 15 (3" g") 2/x В. 15)(15) D.

A:

Q: Suppose X~N(102,16) and Z~N(0,1). If z = -0.71, what is it on an X scale?

A: Solution: From the given information, X follows normal distribution with mean µ=102 and standard…

Q: Number of students in a class of 30 who prefer peanut M&Ms over plain M&Ms

A: A categorical variable is a variable type with two or more categories.

Q: 4. Derive that mean and variance of the Po(A) using exponential families.

A:

Q: Suppose that for a given treatment group, 40% are expected to have an asthma attack within the first…

A:

Q: A random sample of 25 tires gave the average life as 38000 km and S.D. as 5000 km. Can it be…

A:

Q: 4. From the following figures calculate the female gross reproduction rate if the ratio of male and…

A:

Q: Suppose that the random change in value of a financial asset is X over the first day and Y over the…

A: The variance of X+Y is calculated asVarX+Y=VarX+VarY-2CovX,Y

Q: 1.4.26 Researchers wanted to test the hypothesis that living in the country is better for your lungs…

A: *answer:

Q: Suppose X has exponential distribution with parameter 8. If P(X 1), what is var(X)?

A: Hello! As you have posted 2 different questions, we are answering the first question . In case you…

Q: The law of large numbers states that as the number of observations drawn at random from a population…

A: The answer is "tends to get closer to population mean." This is because the more large the samples…

Q: Suppose that the incidence rate pf myocardial infraction (MI) was 5 per 100 among 45 - 50 year old…

A: Z-Test of proportion: It is the hypothesis testing for the proportion of the population from the…

Q: Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men…

A:

Q: Suppose John has a torn tendon and is facing surgery to repair it. The surgeon explains the risks to…

A: Let us denote: A= infection  B= Repair fail  Given that P(A)=3%=0.03 , P(B)= 17%=0.17 P(A and…

Q: Suppose the relationship between Y and X is given by: Y = 1million + 56.43*X + error  By how much…

A: Y = 1million + 56.43*X + error

Q: Suppose the relationship between Y and X is given by: Y = 3.1415 + 6X + error  By how much does…

A: Given : Y = 3.1415 + 6X + error  Slope = coeff of x = 6

Q: 4. 1,000 people are enrolled in a 10-year cohort study. At the start of the study, 100 have…

A: It is given that 1,000 people are enrolled in a 10-year cohort study.

Q: 7.46 Young Adults at Risk. Research by R. Pyhala et al. shows that young adults who were born…

A: Given data: Mean = 120.7 mmHg Standard deviation = 13.8 mmHg

Q: 3. e-e (onveryes or diverger. (et c^)?

A: Given query is to find the series converges or diverges.

Q: 1. Area to the right of 1.323 under at-distribution with 21 degrees of freedom

A: NOTE: As per the guidelines, we are supposed to solve the first question only. Given: t=1.323 Df=21…

Q: An individual is selected from a normal population with a of μ = 80 with σ= 20, and a treatment is…

A: It is given that the mean is 80 and the standard deviation is 20.

Q: Before 1918, approximately 55% of the wolves in the New Mexico and Arizona region were male, and 45%…

A: (a)Calculations:Before 1918, there are approximately 55% of the wolves were male and 45% were…

Q: 8. Estimate the probable number of persons earning between 450 and 480 from the following table.…

A:

Q: For a population with  = 15, a raw score of X = 82 corresponds to z = -0.60.  What is the mean for…

A: Consider that the mean and standard deviation of a random variable x are µ and σ, respectively.…

Q: Grand mean=14.82 Calculate effect size using the formula d=(M-u)/

A: Analysis of variance is a useful inferential statistic.

Q: Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men…

A: Given information p = 0.25 no of MI cases (n) = 15 The power is calculated by

Q: IfXhas exponential distribution with mean 1 (X~EXP(1)), then P(X>2|X>1)equals to

A:

Q: 3. A, -3 10 Az What is fe) dx in terms of the abova aieas -3

A: Area above the x axis is positive and below the x axis is negative.

Q: How large a sample is required to be 90% confident that our estimate of population mean is not off…

A: Given  ɑ=0.10, σ,=0.20, MOE=0.03

Q: Laspeyres' index, (ii) Paasche's index, (iii) Fisher's Ideal index, dex,

A: Hello, since your question has multiple sub-parts, we will solve first three sub-parts for you. If…

Q: 1. Find the percentage of N.d. observations with a zz-score between z1= -3.04 and z2 = 2.85. Give…

A: The z scores are standard normal variable with mean 0 and standard deviation 1

Q: Imagine a family member looks over your shoulder as you look at the variance equation Σki=1(xi −…

A: sigma^2   = ∑ (x −  μ)2 / n

Q: 8.1.13 Hon Claim: Most adults would erase all of their personal information online if th their…

A:

Q: Suppose the incidence rate of myocardial infarction (MI)  was 5 per 1000 among 45- to 54-year-old…

A: 7.14   Null Hypothesis:   H0:p1=p2   That is, there is no difference between the 24-hour…

Q: Suppose the mean value for Rh is 1,106, the mean value for X,R, is 2,200, the standard deviation for…

A: Given, Rh ~ Normal(μ = 1106, σ2 = 427.12) When Rh ~ Normal(μ, σ2), then log Rh ~ Normal(log(μ),…

Q: 8. What is the value of the P-value AP-value <0.001 BP-value = 0.0238 CP-value - 0.025 DP-value -…

A: By solving the above question, we found z statistic = 1.98

Q: Suppose the incidence rate of myocardial infarction (MI) was 5 per 1000 among 45- to 54-year-old men…

A:

Q: Suppose we roll a six-sided die 10 times, and let X be the number of rolls where it the die at least…

A: The above problem follows Binomial Distribution with p= probability of success = 13, as to get at…

Continuous Probability Distributions

Probability distributions are of two types, which are continuous probability distributions and discrete probability distributions. A continuous probability distribution contains an infinite number of values. For example, if time is infinite: you could count from 0 to a trillion seconds, billion seconds, so on indefinitely. A discrete probability distribution consists of only a countable set of possible values.

Normal Distribution

Suppose we had to design a bathroom weighing scale, how would we decide what should be the range of the weighing machine? Would we take the highest recorded human weight in history and use that as the upper limit for our weighing scale? This may not be a great idea as the sensitivity of the scale would get reduced if the range is too large. At the same time, if we keep the upper limit too low, it may not be usable for a large percentage of the population!