Assume that you have a sample of n1=6, with the sample mean X̄1= 47, and a sample standard deviation of S1=6, and standard you have an independent sample of n2=7 from another population with a sample mean of X̄2= 32 and the sample deviation S2=7. Assuming the population variances are equal, at the 0.01 level of significance, is there evidence μ1>μ2? Determine the hypotheses.  Find the test statistic Find the p-value What is the conclusion?

Q: he null and alternate hypotheses are:   H0 : μ1 = μ2 H1 : μ1 ≠ μ2   A random sample of 10…

A: Solution: Given information: n1= 10 Sample size of population 1n2= 7 Sample size of population  2x1=…

Q: Let mu be the population mean. In a test of H0:  mu = 3 against HA:  mu not equal to 3, the sample…

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Q: A sample mean, sample standard deviation, and sample size are given. Use the one-mean t-test to…

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Q: The null and alternate hypotheses are:   H0 : μ1 = μ2 H1 : μ1 ≠ μ2   A random sample of 12…

A: The degrees of freedom is 15 (= n1+n2–2). Using Excel formula “=T.INV.2T(0.1,15)”, the critical…

Q: A population is known to conform to a normal distribution with mean a-11.6 and standard deviation…

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Q: A company that makes cola drinks states that the mean caffeine content per 12-ounce bottle of cola…

A: Given information,  Claim : A company that makes cols drinks states that the mean caffeine content…

Q: Two random samples taken from two normal populations yielded the following information: Sample 1…

A: Given: Sample Sample size Sample variance 1. n1=8 s12  =15 2. n2=20 s22 =42…

Q: A normal population has mean u (unknown) and variance 0.018. A random sample of size 20 observations…

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Q: Consider a random sample of size n from a normal distribution with unknown mean u and unknown…

A: We want to find test statistics and 95% confidence interval

Q: Assume that you have a sample of n₁ = 6, with the sample mean X₁ = 49, and a sample standard…

A: We have given that Sample mean (x̅1) = 49Sample mean (x̅2) = 34Sample size (n1) = 6Sample size (n2)…

Q: Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5%…

A: Given,Significance level 5%, and also x-=4.8, s=2.3 with n=15.Null and alternative hypothesis,

Q: Imagine that your null hypothesis is μ = 16 and your alternative hypothesis is μ ≠ 16 for a…

A: It is given that the test is two-tailed. Level of significance is 0.05 Degrees of freedom is 19–1…

Q: Assume that you have a sample of n, 8, with the sample mean X, 41, and a sample standard deviation…

A: Suppose μ1, μ2 are the population means of Population 1 and Population 2, respectively.

Q: A population has a mean μ=83 and a standard deviation σ=8. Find the mean of a sampling distribution…

A: Given data,  μ=83  σ=8  n=64

Q: Assume that you have a sample of n₁ = 8, with the sample mean X₁ =41, and a sample standard…

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Q: Suppose that memory for unrelated words is distributed normally with a mean of µ = 50. A random…

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Q: Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses,…

A: Assume that population variances are equal. The level of significance is 0.01. This is a two-tailed…

Q: Given that Sand S are the variances of independent random variables from normal populations with…

A: Given information: σx2=10σy2=15nx=25ny=31

Q: If the T test value (T calculate) for the difference between the means of two large samples is 2.57…

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Q: An automotive part must be machined to close tolerances to be acceptable to customers. Production…

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Q: A population has a mean μ=163and a standard deviation σ=30. Find the mean and standard deviation of…

A: Given : μ = 163 , σ= 30 and n= 46

Q: Consider the hypothesis test for the mean of a normally distributed population. Ho : u = 100 H : u +…

A: Given,   Sample size = 64 Sample mean = 97 Sample standard deviation = 8   Set up the null and the…

Q: A random sample of n = 16 scores is obtained from a population with a standard deviation of σ = 18.…

A: Solution: From the given information, n=16, σ=18, x-bar=86 and z=2.

Q: A sample of 25 is selected from a population with μ=40 and a treatment is administered to the…

A: The sample size is 25 and the population mean is μ=40 The sample mean and variance are M=43 and s2=9…

Q: An 1Q test is designed so that the mean is 100 and the standard deviation is 21 for the population…

A: It is given that the confidence level is 0.95, the population standard deviation is 21, and the…

Q: A car leasing firm's records indicate that the mean number of miles driven annually in its cars has…

A: Giventhe mean number of miles driven annually in its cars has been about 16,000 milesclaim is that…

Q: Suppose we want to test H0: μ ≥30  versus  H1: μ < 30.H0: μ ≥30  versus  H1: μ < 30. If we do not…

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Q: random sample of size 16 from a normal distribution has standard viation S=74. Test H:6-32 versus…

A: The given data is as follows:Sample size,

Q: Use the t-distribution table to find the critical value(s) for the indicated alternative hypotheses,…

A: We have to find critical value..

Q: Your null hypothesis is μ = 12 and your alternative hypothesis is μ ≠ 12 for a population with…

A: It is given that the mean is 12, n is 15 and the level of significance is 0.01.

Q: The null and alternate hypotheses are:   H0 : μ1 = μ2 H1 : μ1 ≠ μ2   A random sample of 10…

A: The given data is as follows:The hypothesis Population 1Sample size, Sample mean, Sample standard…

Q: In a test of hypothesis, the null hypothesis is that the population mean is less than or equal to 32…

A: The null and alternative hypothesis for the test is given as:where,  denotes the population mean.The…

Q: Assume that you have a sample of n, =4, with the sample mean X, =44, and a sample standard deviation…

A: The significance level, α=0.01   Sample 1 Sample 2 Sample size n1=4 n2=7 Sample mean x1=44…

Q: A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola…

A:

Q: To check the appeal of the packaging design to men vs women, 100 male and 100 female volunteers…

A: Denote μ1, μ2 as the population mean rating of males and females, respectively.

Q: Total plasma volume is important in determining the required plasma component in blood replacement…

A: (b)   Identify the conditions that are necessary for the calculations.   The correct option is…

Q: Test the claim below about the mean of the differences for a population of paired data at the level…

A: 1] level of significance α=0.102] d¯=1.63] sd=3.54] n=18

Q: assume that you have a sample of n1=9, with the sample mean x1=50, and a sample standard deviation…

A: The following information has been provided: n1=9                 n2=15x¯1=50…

Q: A company that makes cola drinks states that the mean caffeine content per​ 12-ounce bottle of cola…

A:

Q: Use the t-distribution and the sample results to complete the test of the hypotheses. Use a 5%…

A:

Q: A sample of n = 16 individuals is selected from a population with µ = 30.  After a treatment is…

A: Given,  n = 16 μ=30 sample mean , M= 33 degree of freedom df = n-1=16-1=15

Q: Assume that you have a sample of n1=8​, with the sample mean X1=44​, and a sample standard deviation…

A: The random variable X follows normal distribution. There are two independent samples which are X1…