Assume that you have a sample of n1=8​, with the sample mean X1=44​, and a sample standard deviation of S1=5, and you have an independent sample of n2=14 from another population with a sample mean of X2=30 and the sample standard deviation S2=6.   Using a significance level of α=0.025​, what is the critical value for a​ one-tail test of the hypothesis H0: μ1≤ μ2 against the alternative H1: μ1>μ2?   The critical value is ______ ​(Round to two decimal places as​ needed.)

Q: You do a hypothesis test of H0: μ = 5 vs Ha: μ ≠ 5 at significance level 0.05.   You collect a…

A: Solution : H0 : μ = 5 vs Ha: μ ≠ 5 significance level = 0.05 test statistic, z = 2.10  p value =…

Q: A sample of n=25 individuals is randomly selected from a population with a mean of p=65, and a…

A: Given that   x̄ =70 ,  μ = 65  , s = 20 , n =25   Test statistic ( t  )  t = ( x̄ -  μ  )/(s/√(n)

Q: H0:μ=76.8H0:μ=76.8       H1:μ≠76.8H1:μ≠76.8

A: Here population standard deviation(σ) is not given. So here we use the t-test for solving the…

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: You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005.…

A: To test the hypothesis test we will use t test

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…

A:

Q: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.       Ho:μ1=μ2…

A:

Q: 17% of all college students volunteer their time. Is the percentage of college students who are…

A:

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: A sample of n=25 individuals is randomly selected from a population with a mean of u=65, and a…

A: For the given data perform t test for one mean

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: t-test would you conduct in this scenario? Conduct a hypothesis test to evaluate the significance of…

A: Given, sample size(n) = 16 population mean  µ = 30 sample mean (M) = 33 sample variance ,s2 = 64

Q: Consider a hypothesis test with H 0: μ = 20 vs   H 1: μ ≠ 20) at α = 0.05 on mean of a Normal…

A: The answer to the above question is:

Q: If, in a sample of n=30 selected from a normal​ population, X=58 and S=12​, what is your statistical…

A: Given : Sample Size (n) = 30 Sample Mean (X¯) = 58 Sample SD (S) = 12 Significance Level (α) = 0.05…

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: ou believe both populations are normally distributed, but you do not know the standard deviations…

A:

Q: Suppose a random sample of size 10 is taken from a normally distributed population, and the sample…

A: Given,mean(x)=46.1standard deviation(s)=4.5sample size(n)=10H0 : μ=50H1 : μ≠50and α=0.05

Q: Suppose a sample size of 103 was used to conduct a left tailed hypothesis test for a single…

A: Given Information:  Sample size (n) = 103  Hypothesis: Ho: u = 22  p-value = 0.04

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: With H1: p < 0.32, a test statistic is z = -1.23.  Use a 0.01 significance level to find the…

A: Given that,null,  Ho:p=0.32  alternate,  H1: p&lt;0.32level of significance, alpha = 0.01

Q: A normal population has mean u (unknown) and variance 9. A sample of size 9 observations has been…

A:

Q: Assume that you have a sample of n1=8, with the sample mean x1=44, and a sample standard deviation…

A: The provided information are as follows:For sample-1: The sample size, n1=8; The sample mean,…

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: A sample of 44 observations is selected from one population with a population standard deviation of…

A: There are two populations which are one population and second population. We have to use z-test for…

Q: A sample is selected from a population with population mean = 50. After a treatment is administered…

A: μ=50 M = 55 s2 = 64 n = 36 α = 0.05

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: You wish to test the following claim (HaHa) at a significance level of α=0.05       Ho:μ1=μ2…

A: Solution: From the given information,

Q: The yield per tract in a certain region of farmland is known to have a population standard deviation…

A: Sample size n =36 Sample mean=45.2 Population standard deviation =13 NOTE:- According to bartleby…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.002α=0.002.…

A:

Q: each of the tests, what would be the conclusion if the test were carried out using the α = 0.05…

A: As the population S.D is known, w will use z test. The null and alternative hypotheses are, Ho: \mu…

Q: You wish to test the following claim (H1H1) at a significance level of α=0.005.       Ho:μ1=μ2…

A:

Q: You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01.       Ho:μ1=μ2…

A: