Consider the following hypothesis test : H0:μ =12.5 Ha:μ ‡12.5 **THAT A sample of size 18 provided a sample mean (12.9) and sample standard deviation is (0.8). a-Compute the test statistic. b-Determine the range of p-value from the table of t-distribution? What is the rejection rule ? and what is your conclusion at α=0.01? c-What is the rejection rule ,using critical vale approach? What is your conclusion at α=0.05?

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: You wish to test the following claim (HaHa) at a significance level of α=0.10.       Ho:μ=54.4…

A: It is given that, The null and alternative hypothesis is ,  Ho:μ=54.4 Ha:μ>54.4 Thus, It is right…

Q: What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = ??…

A: Use Ti calculator to find the test statistic and p-value as follows: Select STAT > TESTS >…

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Q: You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02.…

A: Given,H0:μ=80.2Ha:μ<80.2n=50M=77.8SD=5.5degrees of freedom(df)=n-1df=50-1=49α=0.02

Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.       Ho:μ =…

A: Given,sample size(n)=73sample mean(M)=66sample standard deviation(s)=6.9H0:μ=64.9Ha:μ≠64.9and…

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

A: Given that  size n=17 with mean M=91.5 and a standard deviation of SD=11.5.

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: We have provided a sample mean, sample size, and population standard deviation. In each case, use…

A: It is given that the sample mean is 21, the sample size is 32 and the population standard deviation…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.05.       Ho:μ=90.1…

A:

Q: Given a critical t score of -2.33 and t observed being -2.01, the decision you should make is…

A: It is given that the critical t score is -2.33 and the observed t value is -2.01.

Q: sample mean is 25, and the population standard deviation is 4. Conduct the following test of…

A:

Q: For the hypothesis test Ho:μ = 5 against H₁:μ< 5 and variance known, calculate the P-value for the…

A: Population mean=5Test statistic Z is -1.64

Q: Use a​ t-test to test the claim about the population mean μ at the given level of significance α…

A: Reviewing the information, the claim : μ=51,700α=0.10 Sample statistics: x=52,677s=2300n=19

Q: You wish to test the following claim (HaHa) at a significance level of α=0.05       Ho:μ=85.9…

A: We have given that,  Population mean (μ) = 85.9, population standard deviation (σ) = 9.1, sample…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.005.       Ho:μ=55.8…

A:

Q: Use a t-test to test the claim about the population mean μ at the given level of significance a…

A: The following information has been given: μ=51,100x¯=51,527s=2800n=20

Q: You wish to test the following claim (HaHa) at a significance level of α=0.001α=0.001.…

A: State the hypotheses. That is, the population mean equals 85.2. That is, the population mean is…

Q: Perform the following hypothesis test: HO: µ = 6 H1: µ  6 The sample mean is 6.3, sample standard…

A: From the provided information, Sample size (n) = 42 Sample mean (x̄) = 6.3 Standard deviation (s) =…

Q: You wish to test the following claim (Ha) at a significance level of α = 0.001. Ho: μ = 81.4 ; Ha: μ…

A: Given n=7 Standard deviations=17.3 X-bar=63.7

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Q: Use the sample data and significance level to test the claim that the population standard deviation…

A: Given information Population standard deviation, σ = 4 Sample size, n = 15 Sample standard…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.02       Ho:μ=82.7…

A: State the hypotheses. That is, the population mean equals 82.7. That is, the population mean is…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.005.       Ho:μ=55.9…

A: The population is normally distributed. The sample size is n=21 The sample mean is M=60.1 The sample…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.005.       Ho:μ=64.5…

A: From the provided information, Sample size (n) = 208 Sample mean (M) = 65.6 Sample standard…

Q: A researcher is to perform a hypothesis test for a single population mean with null and alternative…

A: The random variable X follows normal distribution. The population mean is 2500. We have to test…

Q: destion Given the null and alternative hypotheses, sample means, sample sizes, and population…

A: Given: H0:μ1-μ2≥0HA:μ1-μ2&lt;0 x1=138σ1=16n1=50x2=145σ2=12n2=60

Q: A sample of 34 observations is selected from a normal population. The sample mean is 45, and the…

A: Given that, Sample size is n= 34, Sample mean, X bar= 45  And standard deviation is sigma= 5  Test…

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A: Given,

Q: ou wish to test the following claim (HaHa) at a significance level of α=0.001.       Ho:μ=66.1…

A: The population mean is known and the population standard deviation is unknown with larger sample…

Q: You wish to test the following claim (HaHa) at a significance level of α=0.002.       Ho:μ=56.8…

A: State the hypotheses. That is, the population mean equals 56.8. That is, the population mean is…

Q: Suppose you are conducting the following hypothesis test for a population mean at significance level…

A: GivenH0:μ=60.1HA:μ&lt;60.1sample size(n)=21Mean(x)=59standard deviation(s)=3.21significance…

Q: For two samples, sample size n, sample mean , and the standard deviation of the population o where…

A: The data on two samples are given in the problem. Both the samples are drawn from the distinct…

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: Use a​ t-test to test the claim about the population mean mu   at the given level of significance…

A: Correct option: Option B

Q: For the hypothesis test Ho: u = 8 against H1:µ < 8 and variance known, calculate the P-value for…

A: Given that  H0: μ=8  against   H1: μ&lt;8

Q: Ho: μ = 17 Ha: # 17 A sample of 50 provided a sample mean of 14.37. The population standard…

A: Given that  Sample size n =50 Sample mean =14.37 Population standard deviation =6

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

A:

Q: You wish to test the following claim (HaHa) at a significance level of α=0.10α=0.10.…

A: We know that, test Statistic for testing mean is given by, z= (M-u)/sd/√n Here given that, Sample…

Q: We have provided a sample mean, sample size, and population standard deviation. In each case, use…

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Q: Fewer than 90% of adults have a cell phone. This is a claim about a population proportion so a…

A: Given data: Claim: Fewer than 90% of adults have a cell phone Significance level = 0.05 P-value…

Q: We want to perform the following hypothesis test for the average score of an exam in a statistics…

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Q: We have provided a sample mean, sample size, and population standard deviation. In each case, use…

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Q: Consider the following hypothesis test: H 0 :   15 , H1 :   15 A sample of 50 provided a sample…

A: Solution: Given information: n= 50 Sample size  x=14.15 Sample mean μ=15 Population mean σ=3…