A random sample of 64 observations produced the following summary statistics: = .323 and = .034. Test the null hypothesis that µ= .36 against the alternative that µ < .36 using a = 0.05. Specify the rejection region. Oz< -1.28 Oz<-1.28 Oz < -1.645 Oz<-1.645 or z > 1.645 Oz<-1.96

Suppose that the sitting back-to-knee length for a group of adults has a normal distribution with a mean of μ = 23.7 in. and a standard deviation of o=1.1 in. These data are often used in the design of different seats, including aircraft seats, train seats, theater seats, and classroom seats. Instead of using 0.05 for identifying significant values, use the criteria that a value x is significantly high if P(x or greater) ≤ 0.01 and a value is significantly low if P(x or less) ≤0.01. Find the back-to-knee lengths separating significant values from those that are not significant. Using these criteria, is a back-to-knee length of 25.8 in. significantly high? Find the back-to-knee lengths separating significant values from those that are not significant. Back-to-knee lengths greater than in. and less than in. are not significant, and values outside that range are considered significant. (Round to one decimal place as needed.) rect: 0

You wish to test the following claim (H) at a significance level of a = 0.1. H.:µ = 80.4 Haiu < 80.4 You believe the population is normally distributed, but you do not know the population standard deviation You obtain a sample of sizen = 18 with a mean of M = 61.1 and a standard deviation of SD = 20.5. What is the critical value for this test? critical value = %3D Find the critical value from the ztable (https://ma336.qccmathcs.com/ztable.html) or the ttable(https://ma336.qccmathcs.com/ztable.html) What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = %3D The test statistic is... in the critical region not in the critical region This test statistic leads to a decision to... reject the null accept the null O fail to reject the null

Use the calculator displays to the right to make a decision to reject or fail to reject the null hypothesis at a significance level of α=0.10. ​Z-Test   ​Z-Test   Inpt: Data Stats       μ≠80   μ0​:80     z=−1.18321596   σ​:3.75     p=0.23672357   x​:79.25     x=79.25   ​n:35     n=35   μ: ≠μ0 <μ0 >μ0           Calculate Draw       Choose the correct answer below.     A. Since the​ P-value is greaterthan α​, fail to reject the null hypothesis.   B. Since the​ P-value is lessthan α​, reject the null hypothesis.   C. Since the​ P-value is lessthan α​, fail to reject the null hypothesis.   D. Since the​ P-value is greaterthan α​, reject he null hypothesis.

Consider a test of Ho : u = 4. In each of the following cases, give the rejection region, assuming that the test statistics follows a standard Normal distribution. (a) H. : u > 4, a = 0.1 (b) H. : u <4, a = 0.01 (c) Ha : 4# 4, a = 0.05

Having taken a good N sample from a population of bearings and computed a sample mean x, which of the following represents an estimate of the true mean x' of the bearings assuming no systematic error is present? C. x ± tv,pSx D. x ±₁0 E. (x₁ - x')/0 A. x' +Z₁0 B. x±tv,P Sx

Find the positive critical value for testing Ho: μ = 14.22 versus H₁: µ ‡ 14.22 at significance level 0.1 for a sample of size 26. Round your final answer to three decimal places.