### Hypothesis Testing for the Population Mean**Objective:** Test the claim about the population mean (\(\mu\)) at the level of significance (\(\alpha\)). Assume the population is normally distributed.- **Given claim:** \(\mu < 4815\)- **Level of significance:** \(\alpha = 0.01\)- **Sample statistics:** - Sample mean (\(\bar{x}\)) = 4917 - Sample standard deviation (\(s\)) = 5501 - Sample size (\(n\)) = 53#### Steps to Perform the Hypothesis Test1. **Set Up Hypotheses:** - Null hypothesis (\(H_0\)): \(\mu \geq 4815\) - Alternative hypothesis (\(H_a\)): \(\mu < 4815\) (Type integers or decimals. Do not round.)2. **Find the Standardized Test Statistic:** Calculate the test statistic \(t\) using the formula: \[ t = \frac{\bar{x} - \mu_0}{\frac{s}{\sqrt{n}}} \] - Round to two decimal places as needed.3. **Find the P-value:** - Round to three decimal places as needed.4. **Decision Rule:** Decide whether to reject or fail to reject the null hypothesis: - Determine if there is enough evidence at the 1% level of significance to reject the null hypothesis. - Formal statement: \(H_0\): There is \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\) enough evidence at the \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\) % level of significance to \(\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\_\) the claim.#### Explanation of Graphs or Diagrams (If Any)- There are no graphs or diagrams accompanying this problem statement. This structured approach ensures clarity while presenting hypothesis testing in an educational context, aiding students in understanding the mechanics and interpretation of statistical tests effectively.

Sample size, n =53Sample mean (x̄) = 4917Sample standard deviation (s)= 5501Population mean (μ)=…

Answered: Test the claim about the population…

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

Assume the samples are random and independent, the populations are nomally distributed, and the population variances are equal. The table available below shows the prices (in dollars) for a sample of automobile batteries. The prices are classified according to battery type. At a = 0.10, is there enough evidence conclude that at least one mean battery price is different from the others? Complete parts (a) through (e) below. E Click the icon to view the battery cost data. (a) Let u1. P2. H3 represent the mean prices for the group size 35, 65, and 24/24F respectively. Identify the claim and state Ho and H. H Cost of batteries by type The claim is the V hypothesis. Group size 35 Group size 65 Group size 24/24F 101 111 121 124 D 146 173 182 278 124 140 141 89 (b) Find the critical value, Fo, and identify the rejection region. 90 79 84 The rejection region is F Fo, where Fo = (Round to two decimal places as needed.) (c) Find the test statistic F. Print Done F= (Round to two decimal places as…
To build a 86% CI for the mean of a population, you take a random sample of 31 values and find s = 18. What is the Margin of Error, E? Round the Critical Value and your answer to three decimals. Submit Question tor
Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1230; α=0.09; σ=203.58.Sample statistics: x=1255.28, n=275 A. Calculate the standardized statistic B. Determine P value C. Determine the outcome and conclusion of the test Please show me how you solved the problem.
Can someone please explain it to me ASAP??!!!
Test the claim about the population mean, µ, at the given level of significance using the given sample statistics. Claim: p= 30; a=0.06; o= 3.25. Sample statistics: x= 28.9, n= 73 %3D OF Ho H= 30 H3 p 30 Calculate the standardized test statistic. The standardized test statistic is -2.89 (Round to two decimal places as needed.) Determine the critical value(s). Select the correct choice below and fill in the answer box to complete your choice. (Round to two decimal places as needed.) O A. The critical values are t O B. The critical value is
help
Find the standardized test statistic t for a sample with n = 20, x=6.8, s= 2.0, and o = 0.05 if Hau < 7.2, Round your answer to three decimal places.
help me find test statistics, critical values and rejection region
A doctor tests a claim that an average adult above 50 consumes no more than 3-1/2 pills per day. Standard Dev is 0.7. A sample of 45 adults avg 3.72 per day. Test the claim. -Standard Dev of sample mean -Z-score for sample mean -P-Value
Do men talk less than women? The table shows results from a study of the words spoken in a day by men and women. Assume that the two samples are randomly selected, independent, the population standard deviations are not know and not considered equal. At the 0.05 significance level, test the claim that the mean number of words spoken by men is less than the mean number of words spoken by women. Men Women n1 = 212 n2 = 218 xˉx̄1 = 15706.4 words xˉx̄2 = 15683.2 words s1 = 1595.44 words s2 = 1597.54 words What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.)H0: Select an answer μ₁ μ σ₁² x̄₂ p x̄₁ s₁² p̂₁ μ(men) p₂ p₁ μ₂ ? ≤ > ≥ = ≠ < Select an answer μ₁ p₁ μ₂ x̄₂ σ₁² p̂₁ μ s₁² μ(women) p x̄₁ p₂ H1: Select an answer p̂₂ p s₂² σ₂² μ(men) μ μ₂ x̄₂ x̄₁ p₂ μ₁ p₁ ? < > = ≠ ≥ ≤ Select an answer μ₂ μ p₂ s₁² p₁ x̄₁ σ₁² p̂₁ p μ₁ x̄₂ μ(women) Original Claim = Select an answer H₁ H₀ df = Based on the hypotheses, find the…
Data on the weights (lb) of the contents of cans of diet soda versus the contents of cans of the regular version of the soda is summarized to the right. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Diet Regular μ μ1 μ2 n 20 20 x 0.78646 lb 0.80233 lb s 0.00449 lb 0.00755 lb a. Test the claim that the contents of cans of diet soda have weights with a mean that is less than the mean for the regular soda. What are the null and alternative hypotheses? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is…
Use technology to help you test the claim about the population mean, μ, at the given level of significance, α, using the given sample statistics. Assume the population is normally distributed. Claim: μ>1230; α=0.07; σ=205.81. Sample statistics: x=1263.09, n=250 Calculate the standardized test statistic. The standardized test statistic is enter your response here . (Round to two decimal places as needed.)

SEE MORE QUESTIONS

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