**Statistical Hypothesis Testing: Nickel Diameter in Low Income Group****Given Data:**- Sample Mean (\(\bar{x}\)) = 21.325 mm- Sample Standard Deviation (s) = 5.5856 mm- Sample Size (N) = 40**Research Claim:**Test the claim that the mean nickel diameter drawn by children in the low-income group is greater than 21.21 mm. Conduct the test at a 0.1 significance level.**a) Identify the Correct Alternative Hypothesis:**Select the appropriate alternative hypothesis:- \( \mu < 21.21 \)- \( p > 21.21 \)- \( p < 21.21 \)- \( \mu > 21.21 \) [Correct choice for this scenario]- \( \mu = 21.21 \)- \( p = 21.21 \)**Instructions:**All answers should be rounded to three decimal places.**b) Calculate the Test Statistic:**Enter the test statistic value: [___]**c) Determine the Critical Value:**Using the Traditional method, find the critical value: [___]**d) Decision Based on Hypothesis Test:**Decide whether to:- Reject \( H_0 \)- Fail to reject \( H_0 \) This process enables statistical conclusions on whether the mean diameter exceeds the specified value, using hypothesis testing techniques appropriate for the given sample data.

Name: **Statistical Hypothesis Testing: Nickel Diameter in Low Income Group
Uploaded: 2024-03-20T07:07:12.000Z
Channel: Bartleby
Description: **Statistical Hypothesis Testing: Nickel Diameter in Low Income Group****Given Data:**- Sample Mean (\(\bar{x}\)) = 21.325 mm- Sample Standard Deviation (s) = 5.5856 mm- Sample Size (N) = 40**Research Claim:**Test the claim that the mean nickel diam

Given Information: Sample mean = 21.325 Sample standard deviation = 5.5856 Sample size = 40…

Math

Statistics

Given the sample mean = 21.325, sample standard deviation = 5.5856, and N = 40 for the low income group, Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level. a) Identify the correct alternative hypothesis: Ομ< 21.21

Given the sample mean = 21.325, sample standard deviation = 5.5856, and N = 40 for the low income group, Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level. a) Identify the correct alternative hypothesis: Ομ< 21.21

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 a significance level of a = 0.1 and use the given information to complete parts (a) and (b) below. Original claim: The standard deviation of pulse rates of a certain group of adult males is more than 17 bpm. The hypothesis test results in a P-value of 0.3772. a. State a conclusion about the null hypothesis. (Reject Ho or fail to reject Ho.) Choose the correct answer below. (...) O A. Reject Ho because the P-value is less than or equal to a. O B. Reject Ho because the P-value is greater than a. O C. Fail to reject Ho because the P-value is less than or equal to a O D. Fail to reject Ho because the P-value is greater than a. b. Without using technical terms, state final conclusion that addresses the original claim. Which of the following is the correct conclusion? O A. The standard deviation of pulse rates of the group of adult males is less than or equal to 17 bpm. O B. The standard deviation of pulse rates of the group of adult males is more than 17 bpm. O C. There is sufficient…
A research group wishes to estimate the mean number of hours that high school students spend watching TV on a weekday. A margin of error of E=0.15 hour is desired. Past studies suggest that a population standard deviation of σ=2.2 hours is reasonable. Estimate the minimum sample size required to estimate the population mean with 95% confidence. The required sample size is ___?
Given the sample mean = 23.175, sample standard deviation = 5.4344, and N = 40 for the low income group,Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level.a) Identify the correct alternative hypothesis: μ<21.21μ<21.21 p>21.21p>21.21 p<21.21p<21.21 p=21.21p=21.21 μ=21.21μ=21.21 μ>21.21μ>21.21 Give all answers correct to 3 decimal places.b) The test statistic value is: c) Using the Traditional method, the critical value is: d) Based on this, we Reject H0H0 Fail to reject H0H0 e) Which means The sample data supports the claim There is not sufficient evidence to warrant rejection of the claim There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim
4.47 A manufacturer of lightbulbs wants to estimate the proportion of defective lightbulbs within ±0.1 with a 95% degree of confidence. What is the minimum sample size required if previous experience indicates that the proportion of defective lightbulbs produced is 0.2. Ans. 62
1. The impact rebound values of n=15 pieces of rock, randomly selected from a large geological formation, have a standart deviation of 0.012. Assuming that these measurements can be looked upon as a sample from a normal population , construct a %95 confidence interval for 6, the standart deviation of the population sampled
Do a hypothesis for the following, make sure to include and label all five steps: Test the claim that the weights of quarters manufactured with a new machine have a standard deviation less than .058 g. If a sample of 25 has a sample standard deviation of .049 g. Use a significance level of 0.05.
Given the sample mean = 23.625, sample standard deviation = 4.8921, and N = 40 for the low income group,Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.01 significance level. Give all answers correct to 3 decimal places.a) The test statistic value is: ?b) Using the Traditional method, the critical value is: ?
A random sample of 25 observations selected from this population gave a mean equal to 143.72. The population is known to have a normal distribution with the standard deviation of 14.8. Using a 95% confidence level. Determine the following : a) the reliability factor. b) standard error. c) point estimate of mean d) confidence interval of mean.
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.6 mmHg (millimeters of mercury) for a sample of size 314 and a sample standard deviation 19.4 mmHg. How much of mmHg will lower for a typical patient's systolic blood pressure after taking the drug? Estimate with a 90% confidence. Preliminary: a. Is it safe to assume that n < 5% of all patients with a systolic blood pressure? O Yes No b. Is n ≥ 30? No Yes Confidence Interval: What is the 90% confidence interval to estimate the population mean? Round your answer to one decimal place.
a) A machine is set to produce disc plates with a mean diameter of 14 mm. A sample of 8 discs gave a mean diameter, ?̅ = 14.9 mm and a standard deviation, s = 1.33 mm. A test was carried out at the 5% level of significance to determine whether the machine is in good working order. Assume that the diameter of the disc follows a normal distribution. State, in symbols, the null and alternate hypotheses for this test. ii. State, with reasons, whether a t-test or a z-test will be appropriate. iii. (Determine the rejection region(s) of the test. iv. Calculate the value of the test statistic. v. State, with reason, a valid conclusion for the test.
Use the accompanying 200 Los Angeles commute times to test the claim that the mean Los Angeles commute time is less than 32 minutes. Assume that a simple random sample has been selected. Use a 0.10 significance level. Compare the sample mean to the claimed mean of 32 minutes. Is the difference between those two values statistically significant? 451030302050151520254513402045151550251045151051560302020251542204540601520570104535126030307103010606035304510306010204520255515201210485254530903025203010253020903020151583025720306030102052520406020251590141520203545304040301045606025155725606060301515509010302520202030153053510404530104030453020401412040251020154015353060251053015601560303045154525103010153010283010301028153035452030 Identify the null and alternative hypotheses. H0: ▼ sigmaσ muμ pp ▼ equals= greater than> not equals≠ less than< enter your response here H1: ▼ sigmaσ pp muμ ▼ equals= less than< not equals≠ greater than> enter…
Given the sample mean = 22.5, sample standard deviation = 4.761, and N = 40 for the low income group,Test the claim that the mean nickel diameter drawn by children in the low income group is greater than 21.21 mm. Test at the 0.1 significance level.a) Identify the correct alternative hypothesis: p>21.21p > 21.21 p=21.21p = 21.21 μ<21.21μ < 21.21 p<21.21p < 21.21 μ>21.21μ > 21.21 μ=21.21μ = 21.21 Give all answers correct to 3 decimal places.b) The test statistic value is: __?__ c) Using the Traditional method, the critical value is: d) Based on this, we Reject H0H 0 Fail to reject H0H 0 e) Which means The sample data supports the claim There is sufficient evidence to warrant rejection of the claim There is not sufficient evidence to warrant rejection of the claim There is not sufficient evidence to support the claim