A chi-square homogeneity test is to be conducted to decide whether a difference exists among the distributions of a variable of six populations. The variable has ve possible values. What are the degrees of freedom for the χ2-statistic?

Q: you want to test whether the population distributions of the number of goals scored (in all…

A: We know, The degrees of freedom for the Kruskal-Wallis test is k-1, where k stands for a number of…

Q: The random variable x is known to be uniformly distributed between 0.5 and 2.5. What is the standard…

A: Given,A random variable X~U(a=0.5 , b=2.5)f(x)=12.5-0.5  f(x)=12   ;  0.5≤X≤2.5

Q: 1.) enumerate the steps for a hypothesis test for a population mean when the variance is known.

A: STEPS FOR HYPOHESIS TEST FOR A POPULATION MEAN 1) State the hypothesis i.e. Null and Alternative…

Q: By calculating the which the firm is exposed to a particular loss. the firm can determine the exter…

A: We know that the mean is the average value of data. It doesn't give any idea about the loss.…

Q: Let x be the observed mean of a random sample of size n from a distributionhaving mean μ and known…

A: Confidence interval on μ is given by  x¯-za2σn≤μ≤ x¯+za2σn                  ...........(1)

Q: We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test…

A: The sample size is 50 and the relative frequencies are 0.65, 0.30, and 0.05.

Q: A random sample of n = 300 measurements is drawn from a binomial population with probability of…

A: Given Information Sample size n = 300 Probability of success p = 0.26

Q: One assumption of the binomial distribution is that our sample size has to be greater than​ 10% of…

A:

Q: Suppose the random variable x  is drawn from a  population with mean 50 and  standard deviation 3.is…

A: Solution : Given : μ = 50             σ = 3              n = 30

Q: Show that adding a constant K to a random variable increases the average by K but does not change…

A: Suppose I have  a below data For random variable X 2,5,8,4 consider k= 2 Average of 2,5,8,4 using…

Q: A random group of students was selected from a large student conference to analyze their class in…

A:

Q: For a population with σ = 12, how large a sample is necessary to have a standard error that is:…

A: 1. E≤4 2. E≤3 3. E≤2

Q: Consider a set of 10 seeds planted in a field on day 1. Each seed sprouts the day after being…

A: Solution:a) Find the pmf of X. Find the mean and variance of X.Answer: The ranodm variable X follows…

Q: Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the…

A: From the provided information, Sample size (n) = 8 Level of significance (α) = 0.05

Q: Express the variance of the variable X in terms of n.

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Q: Calculate how much difference is expected, on average, between two sample means if: n1 = 4, n2 = 6,…

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Q: Assume that hybridization experiments are conducted with peas having the property that for​…

A:

Q: Based on these data, can the consumer group conclude, at the 0.05 level of significance, that the…

A: From the table no.of samples=8 Level of significance=0.05 Now we have to calculate critical value…

Q: A single observation of a random variable having ageometric distribution is used to test the null…

A:

Q: From past experience, it is known 90% of one-year-old children can distinguish their mother's voice…

A: Given data, n=20 p=0.90 q=0.10 Here x follow binomial (20, 0.1) Mean=?

Q: If n is multiplied by the factor k in the binomial dis- tribution having the parameters n and θ,…

A: In question, Given that If n is multiplied by the factor k in the binomial distribution having the…

Q: A simple random sample size n=180 is obtained from a population whose size is 20,000 and whose…

A:

Q: Suppose that X is a continuous random variable that follows a normal dis- tribution with mean 68. If…

A: Solution: Let X be the continuous random variable having normal distribution with mean μ= 68…

Q: Has a čláss with four recitation sections. Each section has 7 students (rare, but there are exactly…

A: ANOVA             Source of Variation SS df MS F P-value F crit Between Groups 1134.527 3…

Q: The mean of all the sample means obtained from all random samples of a certain sample size in a…

A: Here, we have sample mean is an biased estimate of the given random sample.

Q: 8. A random sample of n = 16 scores is obtained from a population with a mean of µ = 45. After a…

A:

Q: if you have a z-score of 1.20, your score is higher than how many % of the distribution? - if you…

A:

Q: Suppose the random variable X foliows a normal distribution with mean 80 and variance 100. Then the…

A:

Q: A random sample of n = 400 measurements is drawn from a binomial population with probability of…

A: Given information : sample size = n = 400 probability of success = p = 0.21 probability of failure =…

Q: compute for the mean, variance and standard deviation. 4. A company has five applicants for two…

A:

Q: Of 1091 randomly selected cases of lung cancer, 801 resulted in death within 10 years. How large…

A: To Calculate: How large must the sample be ?

Q: We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test…

A:

Q: Suppose that asthma affects 1 in every 20 children in a population. You take an SRS of 250 children…

A: Let, p= getting affected by asthma =120=0.05 n= sample size= 250 X = number of affected children.…

Q: A medical researcher wishes to try three different techniques to lower blood pressure of patients…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Suppose that an airline uses a seat width of 16.1in. Assume men have hip breadths that are normally…

A: From the provided information, Mean (µ) = 14.5 in Standard deviation (σ) = 1 in X~N (14.5, 1) Sample…

Q: The F distribution with 4 degrees of freedom is given by: Image 1 If you take random samples of…

A:

Q: How large a random sample is required from a popu-lation whose standard deviation is 4.2 so that the…

A:

Q: Suppose that X has the uniform distribution on the interval [0, 1]. Compute the variance of X.

A: The probability distribution function for a uniform distribution in interval a,b is given by…

Q: We have given the relative frequencies for the null hypothesis of a chi-square goodness-of-fit test…

A:

Q: "The central limit theorem states that if X1, X2, X, are independent and identically ....…

A: Solution: 5. a. The statement is “The central limit theorem states that if X1, X2,……..,Xn are…

Q: A medical researcher wishes to try three different techniques to lower blood pressure of patients…

A: The Wilcoxon rank sum test is a non parametric test and it used to compares the two independent…

Q: 25. From a point on the circumference of a circle of radius a, a chord is drawn in a random…

A:

Q: students; thus the total number of students in the sample equals:

A: Given : Expected frequency ,E(x) = 25  number of categories, k = 5

Q: The random variable X has a binomial distribution with n = 20 and p = 0.01. What is the mean and…

A: Consider the given information as, n=20 and p=0.01 As we know that formula of mean and variance…

Q: Suppose X1,...,X, is a random sample from an exponential distribution with mean 0. If X = = 17.9…

A: Given Information: X1, X2......Xn is a random sample that follows exponential distribution with mean…

Q: in a random experiment which leads to an outcome that can be represent ed by a continuous random…

A: It is an important part of statistics. It is widely used .

Q: We draw a random sample of size 36 from a population with standard deviation 3.5. If the sample mean…

A: n = 36 s = 3.5 xbar = 27

Q: A random sample of size n= 28 is obtained from a normally distributed popula mean ofu = 350 and a…

A: Given that,       n=28       μ=350       σ2=145 we have to find (i) P(x¯<345) (ii) P(s2<140)…

Q: 6. Using the Neymann-Pearson lemma, develop the best test to test Ho: =10 versus Ha: H = 11 based on…

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Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.