The null and alternate hypotheses are:Ho Hy H2H₁ H₁ H₂A random sample of 11 observations from one population revealed a sample mean of 23 and a sample standard deviation of 1.1. Arandom sample of 4 observations from another population revealed a sample mean of 24 and a sample standard deviation of 1.3.The population standard deviations are unknown but assumed to be equal. At the 0.05 significance level, is there a differencebetween the population means?Required:a. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answer to 3 decimal places.)Answer is complete but not entirely correct.-1.761 or1.761The decision rule is to reject Hob. Compute the pooled estimate of the population variance. (Round your answer to 3 decimal places.)Pooled estimate of the population variance c. Compute the test statistic. (Negative amount should be indicated by a minus sign. Round your answer to 3 decimal places.)Test statisticd. State your decision about the null hypothesis.Do not reject HoReject Hoe. The p-value isbetween 0.2 and 0.1.less than 0.001.between 0.02 and 0.05.between 0.001 and 0.01.between 0.05 and 01.

The given hypothesis is H0:μ1=μ2 Vs H1:μ1≠μ2. The population standard deviations are unknown but…

Answered: The null and alternate hypotheses are:…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The null and alternate hypotheses are: He: P₁ =H₂ H₁ H₁ #P₂ A random sample of 15 observations from the first population revealed a sample mean of 350 and a sample standard deviation of 12. A random sample of 17 observations from the second population revealed a sample mean of 342 and a sample standard deviation of 15. The population variances are assumed to be equal. At the 0.10 significance level, is there a difference in the population means? a. Is this a one-tailed or a two-tailed test? O One-tailed test. OTwo-tailed test. b. State the decision rule. (Negative amounts should be indicated by a minus sign. Round your answers to 3 decimal places.) The decision rule is to reject H0 if t
Zappos is an online retailer based in Nevada and employs 1,300 employees. One of their competitors, Amazon.com, would like to test the hypothesis that the average age of a Zappos employee is less than 36 years old. A random sample of 22 Zappos employees was found to have an average age of 33.9 years. The standard deviation for this sample was 4.1 years. Amazon would like to set α = 0.025. The correct hypothesis statement for this hypothesis test would be A) H0: μ = 33.9; H1: μ ≠ 33.9. B) H0: μ = 36; H1: μ ≠ 36. C) H0: μ ≤ 36; H1: μ > 36. D) H0: μ ≥ 36; H1: μ < 36.
In a simple random sample of 46 oral temperatures, the mean was 37.3 degrees Celsius with a standard deviation of 1.1 degrees Celsius. Use this sample to test the claim that the population mean of all oral temperatures is greater than 37 degrees Celsius, with significance level of 0.05. d.f.=45 to.005 = 2.690 to.01 = 2.412 to.025 2.014 to.05 = 1.679 to.10 = 1.301
You wish to test the following claim (HaHa) at a significance level of α=0.02α=0.02. Ho:μ=72.2Ho:μ=72.2 Ha:μ≠72.2Ha:μ≠72.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=22 with mean M=68.6 and a standard deviation of SD=20.9What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value =
You wish to test the following claim (HaHa) at a significance level of α=0.005α=0.005. Ho:μ=77.3Ho:μ=77.3 Ha:μ≠77.3Ha:μ≠77.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=18n=18 with mean M=84M=84 and a standard deviation of SD=10.6SD=10.6.What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value =
Suppose the national average dollar amount for an automobile insurance claim is $670.543. You work for an agency in Michigan and you are interested in whether or not the state average is different from the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ = 670.543, Alternative Hypothesis: μ ≠ 670.543. A random sample of 27 claims shows an average amount of $668.645 with a standard deviation of $68.6867. What is the test statistic and p-value for this test? Question 8 options: 1) Test Statistic: -0.144, P-Value: 0.44345 2) Test Statistic: -0.144, P-Value: 0.5566 3) Test Statistic: -0.144, P-Value: 1.5566 4) Test Statistic: 0.144, P-Value: 0.8869 5) Test Statistic: -0.144, P-Value: 0.8869
Kurtis is a statistician who claims that the average salary of an employee in the city of Yarmouth is no more than $55,000 per year. Gina, his colleague, believes this to be incorrect, so she randomly selects 61 employees who work in Yarmouth and record their annual salary. Gina calculates the sample mean income to be $56,500 per year with a sample standard deviation of 3,750. Using the alternative hypothesis H1 : 55.0 appropriate hypothesis test. Round the test statistic to two decimal places and the p-value to three decimal places. Right-Tailed T-Table probability Degrees of Freedom 54 0.00040.00140.00240.00340.00440.00540.0064 56 57 58 59 60 3.562 3.135 2.943 2.816 2.719 2.641 2.576 3.558 3.132 2.941 2.814 2.7172.640 2.574 3.554 3.130 2.939 2.8122.716 2.638 2.572 3.550 3.127 2.937 2.810 2.714 2.636 2.571 3.547 3.125 2.935 2.8082.712 2.635 2.569 3.544 3.122 2.933 2.806 2.711 2.633 2.568 3.540 3.120 2.931 2.805 2.709 2.632 2.567 Provide your answer below , p-value -
Many shoppers have expressed dissatisfaction because grocery stores have stopped putting prices on individual items. A study gives the following summary table. Age < 30 30-39 40-49 50-59 60 141 82 63 23 5 3 Need Item Yes 65 Pricing No 60 49 9 (a) Does the need for item pricing appear to be independent of age? Carry out a test at a = 0.01. (b) Is the sample size large enough for the inference in part (a) to be valid? (c) Is it necessary to further describe the relationship between the need for item pricing and age? Explain briefly. If yes, further describe the relationship by providing an appropriate plot.
In a test of hypothesis, the null hypothesis is that the population mean is equal to 90 and the alternative hypothesis is that the population mean is not equal to 90. A sample of 16 elements selected from this population produced a mean of 86.75 and a standard deviation of 12.54. The significance level is 2%. a. –2.602 and 2.602 b. –2.583 and 2.583 c. –2.131 and 2.131 d. –1.341 and 1.341
A sample of 42 observations is selected from one population with a population standard deviation of 4.5. The sample mean is 100.5. A sample of 56 observations is selected from a second population with a population standard deviation of 3.8. The sample mean is 98.5. Conduct the following test of hypothesis using the 0.10 significance level. H₂ H₁ H₂ H₁ H₁ H₂ a. Is this a one-tailed or a two-tailed test? O One-tailed test O Two-tailed test b. State the decision rule. (Negative values should be indicated by a minus sign. Round your answers to 2 decimal places.) The decision rule is to reject H0 if z is the interval (

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