If null hypothesis is false because a drop has occurred, then the observed z will be?

Q: Suppose Y₁, Y₂,,Y, is an iid sample from a Poisson(A) distribution, where >> 0. Is Y a consistent…

A: Defination: ȳ is an consistent estimator of λ iff  E(ȳ)=λ as n is large. V(ȳ)=0 as n is large.

Q: You are performing a two-tailed test. If α=.005α=.005, find the positive critical value, to two…

A:

Q: A local chess club claims that the length of time to play a game has a mean of 43 minutes or more.…

A: INTRODUCTION :  Type I Error: The probability of rejecting a null hypothesis when the null…

Q: If a researcher finds there is a statistically significant difference, that researcher can…

A: If a researcher finds there is a statistically significant difference, that researcher can…

Q: A researcher conducts a hypothesis test to evaluate the effect of a treatment that is expected to…

A: From the given information, A researcher conducts a hypothesis test to evaluate the effect of a…

Q: the moment generating function of the random variable is unic true false

A:

Q: Type I error occurs when H0 is correct but H0 is rejected. True or False?

A: Type I error: Type I error is defined as the probability of rejecting the null hypothesis, when it…

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: An airline studied the data from their passenger records and noted that their customers turn up only…

A: Let X measure the number of passengers (out of 42) who show up for a flight.

Q: If a test of hypothesis has a Type I error probability (a) of 0.01, it means that

A:

Q: The mean weight of male nurses working at a local hospital is less than 180 lbs. Express the null…

A: The claim is mean weight of male nurses working at a local hospital is less than 180 lbs.

Q: We want to test if the mean life expectancy of Siberian huskies is at least 14 years of age. State…

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Q: Illustrate the null hypothesis for a correlated t test?

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Q: Explain the Covariance functions as applicable to random processes.

A: The autocovariance function CX(s,t) of a random process {X(t)} is a function of two times s and t.…

Q: A researcher conducts a hypothesis test to evaluate the effect of a treatment that is expected to…

A: We have to find hypothesis  statistical decision....

Q: Suppose Bob rolls a fair die 100 times and X = number of 1's he gets. What is the variance of X?

A: Given: n = 100 P( obtaining a 1 on die) = 1/6 = p X = number of 1's obtained

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: Write down some Assumptions of z Test?

A: The assumptions of z test are given below: The samples are randomly selected from the population.…

Q: Show that the method of moments estimator of 0 is X – c, where X is the sample mean. a. b.. Show…

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Q: Define random variables for discrete and continuous variable?

A: A random variable is a variable with an undefined value, or a function that assigns values to each…

Q: To increase the chance of rejecting the null hypothesis, we must ensure that F-test is large enough…

A: Q1.  Answer is  (B).    Reason:   Null hypothesis : mean of groups are equal.  So we reject null…

Q: The mean height of a certain kind of plant is 167 centimeters. Suppose we want to carry out a…

A: Test is that whether the mean height of the plants when treated with a certain chemical differs from…

Q: bility of getting be

A: mean = 9  standard deviation = 2.5 to find P(X<8)

Q: The p-value is the probability of observing a statistic more extreme than the observed statistic, if…

A:

Q: The only difference between a hypergeometric experiment and a binomial experiment is that the…

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Q: What are the Assumptions of z Test?

A: One sample z test: One sample z test is used to compare the mean of a variable in the sample to a…

Q: he probability of the mango chosen at random being infested by worms is Find the xpectation and…

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Q: When can we apply t-distribution?

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Q: tµ, be the mean diastolic blood pressure for women and let u, be the mean diastolic blood pressure…

A: The claim is that women and men have the same mean diastolic blood pressure.

Q: Miya wants to know if on-time graduation (yes or no) of UPLB students is associated with their…

A: Statistical hypothesis testing is an important method in inferential statistics. It is used to test…

Q: When the p-value is greater than alpha, the conclusion for the hypothesis test is to reject the null…

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Q: Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown…

A: A switch from using a one-tailed test to a two-tailed test: Stays the same

Q: You are performing a left-tailed z-test If a = .10, find the critical value, to two decimal places.

A: For the left-tailed ; we have given that,  Alpha = 0.10 We know that,  For the standard normal…

Q: that afflicts 20% of the population. There is a test for this condition, and the reliability st can…

A:

Q: If you have an experimental manipulation that you hypothesize will decrease scores, then for you to…

A: To reject the null hypothesis, the observed z score must be extreme than the critical z score.

Q: If the decision rule for a one-tailed test of hypothesis is given as: Reject Ho if z<-2.36. What…

A: The decision rule for a one-tailed test of hypothesis is given as: Reject Ho if z<-2.36 The value…

Q: A community of researchers is testing a large number of hypotheses. They reject a hypothesis when…

A: Let A denote the event that the Hypothesis is True and B be the event of rejecting the null…

Q: The first method of moments equation uses the first sample moment about the mean a. True b. False

A: In general, the first method of moment equation uses the first sample moment about the origin.

Q: Suppose the study described in the previous question was conducted by a colleague.  He tells you…

A: The null and alternative hypotheses are: Null hypothesis: The proportions are the same across health…

Q: stimator T=X/6 to estimate p. Then variance of T is

A: varT=6p1-p

Q: Make 1 real-life problem with a solution in any of the following topics; 1. Preforming hypothesis…

A: Testing of hypothesis is a rule which, when the sample values have been obtained, leads to a…

Q: The Central Limit Theorem says that the standard deviation of the sampling distribution of the…

A: we have to choose the correct оption.The central limit theorem says that the mean of the sampling…

Q: What values of F indicate that the null hypothesis is true?

A: F-values are calculated value

Q: Suppose you conduct a hypothesis test about a population mean when the standard deviation is unknown…

A: Formula for test statistic:

Q: A company believes that it controls more than 30% of the total market share for one of its products.…

A: Hypothesis: H0:p=0.30H1:p>0.30 Test Statistic: Test…

Q: if we take samples from the population that has an unknown probability distribution, the sampling…

A: Central limit theorem:   If the size of the samples taken from the population are sufficiently…

Q: why are large x2 values sometimes obtained when the null hypothesis true?

A: A large chi-square value indicates that the data does not fit very well, that is, there is no…

Q: Let Xinexp(A). Sholw that T- Xi Sulficieay Statistics is

A: We will use the factorization theorem to determine the sufficient statistic.

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.