# T-Test for a Population Mean## IntroductionA poultry farm sells eggs classified as large, which requires the mean weight of the individual eggs to be 2 ounces. The department of weights and measures weighs a random sample of 500 eggs to determine if the mean weight is less than 2 ounces at a significance level of 0.05. The results of the sample are given below:### Egg Weight Statistics- **Mean:** 2.0029342 ounces- **Variance:** 0.0037364- **Observations:** 500- **Hypothesized Mean:** 2 ounces- **Degrees of Freedom (df):** 499## T-Test Results- **t-Statistic:** 1.0733641- **P(T ≤ t) one-tail:** 0.141833- **t Critical one-tail:** 1.647913- **P(T ≤ t) two-tail:** 0.2836266- **t Critical two-tail:** 1.9647294## Graphical RepresentationThe accompanying graph is a standard bell curve representing the distribution of the t-statistic. The shaded area under the curve corresponds to the p-value (0.1845), representing the probability of observing the sample data assuming the null hypothesis is true.## ConclusionSince the p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis. This suggests there is insufficient evidence to conclude that the mean weight of the eggs is less than 2 ounces.## User Interaction- There is a dropdown menu for selecting the outcome (e.g., "Pick") concerning the null hypothesis.- A button labeled "Check" is available for user interaction to verify the selected conclusion.### NoteStatistical analysis like this can help ensure product quality and compliance with industry standards.

Answered: is test for a population mean żyBooks…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

See similar textbooks

Similar questions

The average retirement age in America is 63 years old. Do small business owners retire at a different average age? The data below shows the results of a survey of small business owners who have recently retired. Assume that the distribution of the population is normal. 66, 60, 62, 71, 58, 73, 60, 72, 70, 61, 57 What can be concluded at the the a 0.05 level of significance level of significance? a. For this study, we should use t-test for a population mean b. The null and alternative hypotheses would be: Ho: uv = 63 H: uv> c. The test statistic ? = (please show your answer to 3 decimal places.) d. The p-value = (Please show your answer to 4 decimal places.) e. The p-value is ? a f. Based on this, we should Select an answerv the null hypothesis. g. Thus, the final conclusion is that O The data suggest the population mean retirement age for small business owners is not significantly different from 63 at a = 0.05, so there is insufficient evidence to conclude that the population mean…
Given below are the analysis of variance (ANOVA) results from a Minitab display. Assume that you want to use a 0.01 significance level in testing the null hypothesis that the samples come from populations with the same mean. Source DF SS MS F P-val Factor 2. 2280.0 1140.0 7.9 5.39E–04 Error 144 20691.7 143.7 Total 146 22971.8 What can you conclude about the equality of the population means? (circle one) Reject H0 since the p-value is greater than the significance level. Fail to reject H0 since the p-value is greater than the significance level. Reject H0 since the p-value is less than the significance level. Fail to reject H0 since the p-value is less than the significance level.
Job satisfaction as a function of a work schedule was investigated in different factories. In the first factory, the employees are on fixed shift system while in the second factor, the workers have rotating shift system. Using the data in the table below, determine if there is a significant difference in job satisfaction between the two groups of workers. Use 0.01 level of significance. Shift Schedule Mean Standard Deviation Sample size Fixed 7.43 2.42 23 Rotating 6.18 2.15 29
An engineer designed a valve that will regulate water pressure on an automobile engine. The engineer designed the valve such that it would produce a mean pressure of 5.5 pounds/square inch. It is believed that the valve performs above the specifications. The valve was tested on 24 engines and the mean pressure was 5.7 pounds/square inch with a variance of 0.49. A level of significance of 0.01 will be used. Assume the population distribution is approximately normal. Make the decision to reject or fail to reject the null hypothesis.
Do cars really get better mileage per gallon on the highway? The table shows results from a study of the MPG (miles per gallon) of cars both in the city and on the highway. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.1 significance level, test the claim that the mpg on the highway is better than in the city. MPG on the Highway 35.6 34.3 32.2 33.9 31.1 27.1 33.3 33.4 29.3 33.5 31.4 33.2 33.5 30.8 33.8 MPG in the City 26.4 25.3 18.6 25.6 24.7 24.6 25.1 22.4 29.3 23.7 23.4 22 24 23.6 25.5 What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer p x̄₁ p₁ σ₁² μ₁ μ₂ μ μ(Highway) x̄₂ p̂₁ s₁² p₂ ? ≤ ≠ < ≥ = > Select an answer p₁ p₂ p̂₁ μ(City) μ μ₁ μ₂ x̄₁ x̄₂ s₁² σ₁² p H1: Select an answer p₂ μ(Highway) p̂₂ σ₂² x̄₁ x̄₂ s₂² μ₁ μ₂ μ p₁ p ? < ≠ = ≥ ≤ > Select an answer p₂ p₁ μ₁ σ₁²…
Class 1 Final Sample Size: 30 Sample Variance: 80.55 Sample Mean: 44.2917 Class 2 Final Sample Size:30 Sample Variance: 55.29 Sample Mean: 36.4833 The assignment says to use the Z test for means and assume the hypothesized difference is 0. 1. Is there a significant difference in the means of the two finals at the .01 level of significance? 2. Why or why not?
Do Predicted Temperatures match Actual Temperatures? The table shows the predicted and actual temperatures for a seven day period. Assume that the two samples are randomly selected. At the 0.01 significance level, test the claim that there is no mean difference in the predicted and actual temperatures. (Be sure to subtract in the same direction). Predicted Temperatures °F Actual Temperatures °F Difference °F 87 87 83 85 78 75 81 86 85 90 80 81 76 79 What are the correct hypotheses? (Select the correct symbols and values.) Họ: Select an answer v? Select an answer H1: Select an answer ? v Select an answer Original Claim = Select an answer Select an answer H: Ho df =
Scientists measured the amount of drug in tablets produced at two different, independent sites. Scientists want to know whether there is any difference between the mean drug concentration in tablets produced at Site 1 and Site 2. Run the appropriate test in Excel, assuming the population variances are equal. Use an a = .05 significance level. Submit the...
A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below. Mean Variance Observations Southern Northern 155.056 168.889 345.938 560.928 18 Pooled Variance 453.433 Hypothesized Mean Difference df 34 1949 t Stat P(T<=t) one-tail p= Ex: 1.234 0.030 2.441 0.060 t Critical one-tail P(T<=t) two-tail t Critical two-tail 2.728 2. Confidence Level 99% t = Ex: 1.234 n= Ex: 9 Degrees of freedom: df = Point estimate for the southern part of the county: 1 Ex: 1.234 Point estimate for the northern part of the county: 2 0耳_ 国 23 72°F
Please help me answer this question in full!
Group 1. Mean= 24.08 Group 2. Mean= 26.5 STD Dev= 4.42 STD Dev= 5.2 Sample Size=16 Sample Size=16 What is tcomputed =
A real estate agent believes that the mean home price in the northern part of a county is higher than the mean price in the southern part of the county and would like to test the claim. A simple random sample of housing prices is taken from each region. The results are shown below.

Recommended textbooks for you

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

MATLAB: An Introduction with Applications

Statistics

ISBN:

9781119256830

Author:

Amos Gilat

Publisher:

John Wiley & Sons Inc

Probability and Statistics for Engineering and th…

Statistics

ISBN:

9781305251809

Author:

Jay L. Devore

Publisher:

Cengage Learning

Statistics for The Behavioral Sciences (MindTap C…

Statistics

ISBN:

9781305504912

Author:

Frederick J Gravetter, Larry B. Wallnau

Publisher:

Cengage Learning

Elementary Statistics: Picturing the World (7th E…

Statistics

ISBN:

9780134683416

Author:

Ron Larson, Betsy Farber

Publisher:

PEARSON

The Basic Practice of Statistics

Statistics

ISBN:

9781319042578

Author:

David S. Moore, William I. Notz, Michael A. Fligner

Publisher:

W. H. Freeman

Introduction to the Practice of Statistics

Statistics

ISBN:

9781319013387

Author:

David S. Moore, George P. McCabe, Bruce A. Craig

Publisher:

W. H. Freeman

SEE MORE TEXTBOOKS