The proportion of people who relapse at twelve months posttreatment for heroin addiction is 0.75. Suppose that researchers at a treatment facility use simple random samples to ensure that this number is not changing. Determine the value of ?̂ such that in 99% of all simple random samples of size ?=50, the proportion of people in the sample who relapse at twelve months posttreatment for heroin addiction is less than ?̂. You make find a ?-table useful. Please give your answer to two decimal places.

Q: From a sample with n=32, the mean number of televisions per household is 4 with a standard deviation…

A: Chebyshev’s rule can be used for the large set data. It says that at least 1-1/k2 percentage of the…

Q: A normal distribution has a mean of µ = 40 with σ = 10. If a vertical line is drawn through the…

A:

Q: A random sample of n = 4 scores is obtained from a normal population with ? = 20 and ? = 4. What is…

A:

Q: A sample from a normal population with µ = 50 and  σ = 6 has a mean of M = 48.20. If the sample mean…

A:

Q: will you reject or fail to reject the null hypothesis? Are the data statistically significant at…

A:

Q: The proportion of people who relapse at twelve months posttreatment for heroin addiction is 0.75.…

A: Given Population proportion p=0.75 Sample size n=50 Standard deviation The hypothesis to be tested…

Q: A doctor wants to research if there is any difference in the birth weights of a mother's first child…

A: Given information- Sample size, n = 10 Significance level, α = 0.10 We have to test the claim that…

Q: A sample with a mean of M = 40 and a variance of s2 = 12 has an estimated standard error of 2…

A:

Q: If all the possible random samples withn 36 scores are selected from a normal population with u- 80…

A: sample mean=E(X¯)=E∑i=1nXi/n=∑i=1nμn=nμn=μsample mean=μ=80

Q: A random sample is selected from a normal population with a mean of μ = 50 and a standard deviation…

A: Given information: Population mean, μ=50 Population standard deviation, σ=12 The sample mean, M = 55…

Q: a. A sample of n = 25 scores is selected from a population with μ = 62 and σ = 12.  If the sample…

A: Given Information ' n = 25 μ = 62 and σ = 12 Sample mean M = 56

Q: A normal distribution has a mean of u = 87 with o = 6. If one score is randomly selected from this…

A: Given:  Random variable x from normal distribution with mean mu=87 amd standard deviations=6  Then…

Q: From a sample with n=20​, the mean number of televisions per household is 4 with a standard…

A: Given n=20

Q: A random sample of n = 25 individuals is selected from a population with μ = 20, and a treatment is…

A:

Q: From a sample with n=16​, the mean number of televisions per household is 4 with a standard…

A: Solution: Let X be the number of televisions per household. From the given information, n=16, σ=1…

Q: sample mean greater than 34? b) selecting a sample mean with a z-score greater than z = 2.00?…

A: (a) The probability that selecting a sample mean greater than 34 is: By using the standard normal…

Q: The sample mean and standard deviation from a random sample of 30 observations from a normal…

A: Computing the test statistic for hypothesis test: The test statistic for t test is given by:

Q: One sample of n=12 scores has a mean of M=7, a second sample of n=8 scores has a M =12. If the 2…

A: The mean M of the combined sample is,

Q: A random sample is selected from a normal population with a mean of  = 30 and a standard deviation…

A: a. Null hypothesis: µ=30. Alternative hypothesis: µ≠30. Here, the sample mean, M is 33. Population…

Q: Let X has a random variable that represents the hemoglobin count in human blood in grams per…

A: Given that, Sample size n=10 Sample HC x¯=15.2 Population standard deviation σ=2.4

Q: Suppose a company produces lightbulbs with a mean lifetime of 1000 hours and a standard devlation of…

A: Given Data: Let X represent the random variable   X~ Normal (1000, 502)

Q: A sample of n = 49 scores with M = 43 is selected from a population with µ = 40 with σ = 21. What is…

A: Mean = 40 Standard deviation = 21 Sample size = 49 Sample mean = 43

Q: A sample of n= 5 has a mean of M=12  if one person with a score of X =18 is added to the sample…

A: Given : A sample of n= 5 has a mean of M=12   Mean :  Substituting value of M & n in above ,…

Q: A research center claims that 30​% of adults in a certain country would travel into space on a…

A: The null and alternative hypotheses are given below.

Q: A sample of 53 female workers and another sample of 75 male workers from a state produced mean…

A:

Q: A random sample of n - 4 scores is obtained from a normal population with u = 30 and o- 8. What…

A: Let us assume that the  The population is denoted by X which is normally distributed. So, by the…

Q: A random sample is selected from a normal population with a mean of μ = 30 and a standard deviation…

A: Solution: a. State the hypotheses. Null hypothesis: That is, there is no significant effect of the…

Q: For the mean of samples selected from two independent populationsX,~N(2µ, 20²/n) and X2~N(µ,0²/n) if…

A: Note: since you have posted multiple independent questions in the same request, we will solve the…

Q: If a random sample of size n=160 has x¯=105 and s=9.5, find the standard error of the statistic.…

A:

Q: How large a sample is needed for a correlation of r = 0.54 to be significant using a two-tailed test…

A: It is given that the level of significance is 0.05.

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: A sample of n = 64 scores is selected from a population with µ = 60 and σ = 10. If the sample mean…

A:

Q: normal distribution has a mean of u= 28 and o= 4. If one score is randomly selected from the…

A: Given that  A normal distribution has a mean of u= 28 and o= 4.  By using standard normal…

Q: normal distribution has a mean of µ = 90 with σ = 8. If one score is randomly selected from this…

A:

Q: From a sample with n = 16, the mean number of televisions per household is 4 with a standard…

A: Chebyshev's theorem and empirical rule are used to calculate the percentages of data lies within…

Q: Find P(33 < X < 47) if X is normally distributed with mean 37 and standard deviation 10. For all

A:

Q: A sample of n = 16 scores is selected from a population with μ = 100 and σ = 32. If the sample mean…

A: From the provided information,

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: A sample of n = 16 scores is obtained from a population with μ = 70 and σ = 20. If the sample mean…

A: The sample mean also follow normal distribution with following parameters

Q: A simple random sample of size nequals 40   is drawn from a population. The sample mean is found…

A:

Q: If the standard error of the mean for the sampling distribution of random samples of size 25 from a…

A: Given:

Q: "suppose that a random sample of size 20 is taken from a normal distribution with unknown variance…

A: Given: n=20 μ=Unknownx=10σ2=1Andμ(Posterior)=15σ(Posterior)=0.1

Q: A sample of n = 16 scores is selected from a normal population with σ = 32. If the sample mean of M…

A:

Q: sample of 100 scores has a mean of 58, a variance of 160, and an estimated standard error of 4.…

A: We have given that  Sample size n= 100 , mean= 58 , variance = 160 , standard error = 4 ?= 12.6491

Q: The means of two random samples of size 9 and 7 are 196-42 and 198.82 respectively. The sum of the…

A:

Q: A marketing researcher would like to compare the mean amounts that men and women spend on Christmas…

A: Null and alternative hypotheses: Null hypothesis: Null hypothesis is a statement which is tested for…

Q: A sample of n = 16 scores is selected from a normal population with σ = 32. If the sample mean of M…

A: Given that, Sample size = 16 Standard deviation = 32 Sample mean = 81 Z score = -1.75

Q: A nurse selects a random sample of 194 patients from Which of the following contributed the most to…

A:

Q: For a particular population, a sample of n = 4 scores has a standard error of 6. For the same…

A: For a population, sample size is 4 and standard error is 6.