Please answer this question.a) The point estimate of (μ1−μ2) is? b) Calculate the value of the test statistic. c) A 95% confidence interval to support this decision is _ The Comrades committee decided to investigate the age (in years) of male and female runners. The descriptive statistics obtained from the twoindependent samples are recorded in the table below.Male runnersFemale runnersSample Size= 15n = 12Sample Mean= 31.6Zz = 35.17Sample StandardS1 = 5.026$2 = 6.847DeviationResearch question:The Comrades committee would like to investigate whether the average age of male and female runners differ significantly from each other at ana = 0.05 level of significance.Let:41 = average age of male Comrades runnersH2 = average age of female Comrades runnersGiven:The age of the male and female runners are normally distributed with unequal variances.Under the null hypothesis, the test statistic has at distribution with 19 degrees of freedom, i.e.t to.

The sample size for males is 15, sample mean is 31.6, and sample standard deviation is 5.026, the…

Answered: Please answer this question. a) The…

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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In the accompanying table, x is the tensile force applied to a steel specimen in thousands of pounds, and y is the resulting elongation in thousandths of an inch: x| 1 2 3 4 5 6 y 14 33 40 63 76 85 a ) Construct a 95% confidence interval for B1, the elongation per thousand pounds of tensile stress. Find a 95% prediction interval for the elongation of a specimen with xo = 3.5 thousand pounds. Test the null hypothesis Bo = 0.75 against the alternative hypothesis Bo > 0.75 at the 0.1 level of significance.
An SRS of 100 postal employees found that the average time these employees had worked for the postal service was x = 7 years with standard deviation s = 2 years. Assume the distribution of the time the population of employees have worked for the postal service is approximately Normal. A 95% confidence interval for the mean time u the population of postal service employees have spent with the postal service is 7 + 0.525 7 + 0.4 7 + 2 7 + 1.984 b
Which of these is NOT a way to express a confidence interval for the mean? (59.41, 81.72) 46.78 < x̄ < 62.90 42 ± 3.2 45.2 < μ < 63.7
In the experiment, you repeated measurements 8 times for a resistor. After data processing, you determined that the standard deviation of the measurement is 2.80. What is the 95% confidence range of the result? O ±2.8N +1.94N +5.45N O ±8N
23) The records of 100 postal employees who volunteered for a study, showed that the average time these employees had worked for the postal service was x = standard deviation of the population of time postal service employees have spent with the postal service is approximately 8 years. Assume that we know that the normal with standard deviation o 5 years. A 95% confidence interval for the mean time u the population of postal service employees have spent with the postal service is:
We want to estimate the number of pounds of ground beef produced during a month. The firm processes 25,000 cows every year in this plant, and samples 500 cows for this investigation. This sample produced ?̅= 290 lbs ground of beef per cow with a sample standard deviation of s = 40 lbs. The plant is paid $.75/lb for the beef. a) Find a 90% confidence interval for ground beef. b) The plant manager bragged about the productivity of his workers and gave them a bonus because he says they slaughtered 2,500 cows and made $560,000 for the plant this month. Should the board of directors investigate? Why or why not?
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.
You have a really annoying stapler that seems to randomly jam. On any given attempt to staple, it seems to independently jam 18.1% of the time. 360 attempts were made use the stapler. a) Find the mean and standard deviation for the number of jammed staples out of 360 attempts. Mean: Standard Deviation (rounded to 2 decimals): b) Does the normal approximation apply? Is the success / failure condition met (using a cutoff of 5)? No Yes c) Use the normal distribution (with continuity correction) to find the probability that your stapler will jam more than 79 times out of 360 attempts. Use the rounded standard deviation in your calculation. z-score (to 2 decimals) = probability (to 4 decimals, using the rounded z-score)
Construct a 95% confidence interval to estimate the population mean using the data below. x=38 s=11 n=39 With 95% confidence, when n=39 the population mean is between a lower limit of and an upper limit of (Round to two decimal places as needed.)
To construct a confidence interval for the difference between two population means μ₁ −μ2, use the form 0²2 0²/ 0²/2 + (x₁-x₂) -Zc
Thank you for answering a-c. Please answer part d.
ou intend to estimate a population mean with a confidence interval. You believe the population to have a normal distribution. Your sample size is 6.a.) The degrees of freedom df=df=b.) Use the t-table on page 4 to find the critical value tctc that corresponds to a confidence level of 95%.tc=(Use 4 decimal places)

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Please answer this question. a) The point estimate of (μ1−μ2) is? b) Calculate the value of the test statistic. c) A 95% confidence interval to support this decision is _