Let (X1, X2, ..., Xk) be a multinomial random variable with parameters (n, P1, P2, ..., Pk). Cov(X₁, Xj) = -npiPj Hint: Express X; as a sum of indicator random variables. Show that

Q: Assuming the population has an approximate normal distribution, if a sample size n = 14 has a sample…

A: Suppose µ is the population mean.

Q: Use technology to find the P-value for the hypothesis test described below The claim is that for a…

A: Given that n=16,t=1.011 ( 2 tailed ) P value = ?

Q: Wageweb conducts surveys of salary data and presents summaries on its Web site. Based on salary data…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: A survey of 300 union members in New York State reveals that 112 favor the Republican candidate for…

A:

Q: Determine the P-value for a two-sided test with t = 2.85 and n=9 Oa. 0.035 O b. 0.01 OC. 0.015 O d.…

A: Given information- We have given the two-sided t-test. The value of the t-test is, t = 2.85 Sample…

Q: Are the years of education of a child dependent on the years of education of their parent? The table…

A: Followings are the Explanation of the question   Calculate the linear  Correlation Coefficient  (r)…

Q: A sample of 55 eggs yields a mean weight of 1.76 ounces. Assume that population standard deviation…

A:

Q: Given below are the number of successes and sample size for a simple random sample from a…

A: We have given that  x = 12, n = 30 => p̂ = x/n = 12/30 = 0.40 Confidence level (c) = 98% = 0.98

Q: The following data are based on information taken from the Statistical Abstract of the United States…

A: x 2 3 4 5 6 7 P(x) 0.42 0.23 0.21 0.10 0.03 0.01

Q: Determine the P-value for a two-sided test with t = 2.85 and n=9 O a. 0.015 O b. 0.01 O C. 0.035 O…

A:

Q: Example 3: You wish to evaluate the association between a person's gender and attitude toward…

A:

Q: The alternative hypothesis, denoted by Hl, represents the opposite of the null hypothesis and is…

A: Given that  Alternative hypothesis is denoted by H1.

Q: Give a 99% confidence interval, for μ₁ −μ₂ given the following information. n₁ = 60, x1 = 2.53, $1…

A: Given 99% confidence interval, n1 = 60, x1=2.53 n2 = 50, X2=2.95 S1=0.78,S2=0.94

Q: A sample of 150 married women determined that 127 are happy in their marriage. A sample of 150…

A: The proportion is calculated by number of favorable event and the total sample size. Sample…

Q: Are the years of education of a child dependent on the years of education of their parent? The table…

A:

Q: 4. A fire detection device uses 3 temperature-sensitive cells acting independently of each other in…

A: Here given, A fire detection device uses 3 temperature-sensitive cells acting independently of…

Q: The length of fish were measured at 3 different lakes.  Is there evidence to suggest that the…

A: Given data: The length of fish were measured at 3 different lakes.  Lake 1 Lake 2 Lake 3 3.5…

Q: P(A) = 0.3, P(B) = 0.4, and P(A or B) = 0.7, then   a. A and B are mutually exclusive (disjoint)…

A: It is given that  P(A) = 0.3 P(B) = 0.4 P(A or B) = 0.7

Q: the 1,6,15,20,15,6 come in as part of the answer

A: Here, used NCR formula NCR formula is used to find the number of ways where r objects chosen from n…

Q: A sample mean is 6.7, sample size is 20, and population standard deviation is 0.6 are given. Ho:…

A:

Q: the chart attached, what is the approximate mean value?   a. 1.5   b. 2.5   c. 3.5   d. 4.5

A: From the histogram, We have to calculate mean value We know : In histogram X axis shows bin(x)  Y…

Q: 4. The following represents the number of oranges produced last growing season by a random sample of…

A: As per our guidelines we are suppose to answer only first three subparts4)Given dat set…

Q: (a) What is the probability that a single student randomly chosen from all those taking the test…

A: Z table has used to find the probability.

Q: roportion of adults in the city of Hawalli who are vegetarian. In a random sample of 13 adults from…

A: We have given that,  Sample size (n) = 713 and sample proportion (p̂) = 0.078 Then,  We will find…

Q: Consider the 24 values shown in the table. Complete parts a through d below. 27 14 28 8 9 23 31 25…

A:

Q: For many years businesses have struggled with the rising cost of health care. But recently, the…

A:

Q: Consider the hypotheses shown below. Given that x= 116, o=26, n = 40, a=0.01, complete parts a…

A: The question is about hypo. testing for a popl. mean Given : Null and alt. hypo : H0 : μ = 124HA : μ…

Q: Your company manufactures hot water heaters. The life spans of your product are known to be normally…

A: The question is about normal prob. dist. Given : Popl. mean life span of product ( μ ) = 13 years…

Q: 30 randomly selected students took the calculus final. If the sample mean was 93 and the standard…

A:

Q: Of 363 randomly selected medical students, 20 said that they planned to work in a rural community.…

A:

Q: Vermont-based Green Mountain Coffee Roasters dominates the market for single-serve coffee in the…

A: Note: As per my policy i can answer only one question. kindly repost the remaining question.Given…

Q: Claim: Fewer than 93% of adults have a cell phone. In a reputable poll of 1071 adults, 86% said that…

A: Formula of test statistic is as follows ,   z = p^-pp(1-p)n Where , p^ is sample proportion   p is…

Q: Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors,…

A: It is given that Sample size is n = 22 Sample mean M = 33.9 Sample SD s = 4.1 Levem of significance…

Q: In a sample of 100 voters from the same state, who voted for either the Democratic or Republican…

A: Given: Sample size, n is 100 The number of voters voted for Democratic candidate for governor is 55.…

Q: In a sample of 150 people from town A, 45 planned to vote for the proposition.  In a sample of 200…

A: From the provided information,

Q: You want to study whether music affects people’s ability to learn. You have 10 college students…

A: Test is that whether people's ability to learn ks effected by music.

Q: The overhead reach distances of adult females are normally distributed with a mean of 202.5 cm and a…

A: Normal distribution is the type of continuous distribution. It distribute the data in bell shaped…

Q: To test the efficacy of a new cholesterol-lowering medication, 10 people are selected at random.…

A: Given data: Subject Before After 1 188 202 2 110 77 3 184 176 4 133 97 5 171 151 6…

Q: A normally distributed data set has a mean of 0 and the standard divitation of 2. What is the…

A: Given,mean(μ)=0standard deviation(σ)=2

Q: For the following Before/After data, calculate the t-obtained for a Related-Samples t-test. a. 2.53…

A: For using Paired t test 1) sample size of two samples should be equal 2) two samples should be not…

Q: My Math 3A class has 37 people. On the first exam they had an average score of 77.8 with a standard…

A: Given Sample mean =77.8 Sample size=37 Sample standard deviation=12.1

Q: The estimated prevalence is 25% and the desired confidence level is 95% with a margin of error of 8%…

A:

Q: • Example 1: A group of teachers is interested in knowing whether a relationship exists between the…

A:

Q: An agency collects demographics concerning the number of people in families per household in a…

A:

Q: population standard deviation is 0.6 are given. Ho: 27.1, H₁: p<7.1 and a significance level is…

A:

Q: The number of college credits completed by a sample of 40 students is shown below.         9    9…

A: The data of 40 students as follows…

Q: 4) Test the claim that the majority of Precalculus students are passing the class with a C or…

A: The objective is to test the claim that the majority of precalculus students are passing the class…

Q: 3) Use the regression equation to predict the price of a 2000 square foot house in South Salinas.

A: From the above question 3 3) Use the regression equation to predict the price of a 2000 square…

Q: osition.  In a sample of 200 people from town B, 67% planned to vote for the proposition.  Test…

A: According to the given information in this question We need to find test statistic

Q: es a sample of 10 male smokers and 10 female smokers from a nearby motorcycle club by asking the…

A: Male Female 15 10 15 12 16 12 18 12 19 15 24 18 25 22 27 30 30 34 32 36