The age, x years of each women is a MBA class in the year 2016 was recorded. In random
sample of 250 women it was found that ∑x=43205 & ∑x2= 7469107. Calculate
i. An unbiased estimate of µ and σ2
ii. Construct 95% confidence interval for µ
iii. By using Confidence interval would you accept the hypothesis that µ=29 years.
iv. Carry out a significance test at 5% level of significance that µ=31 against the
alternative µ≠31
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The new management at a bakery claims that workers are now more productive than they were under old management, which is why wages have "generally increased." LetWib be workers i's wage under the old management and let Wia be Worker i's wage after the change. The difference is Di = Wia - Wib. Assume that the Di are a randomsample from a Normal (μ,σ²) distribution.i) Using the following data on 15 workers, construct an exact 95% confidence interval for μ.ii)...
Only part e) please
4. The following table contains the wages and gender for 6 emplovees at company X. female name Claire Matt Bruce Susan Tom Jennifer wage 14 18 0 16 0 a) Compute the sample mean, variance and standard deviation of wages. b) Compute the mean of the variable female. [Side note: notice that the mean of a dummy variable is equal to the share of observations for whom the variable equals 1.] c) Express the following statements...
A report included the following information on the heights (in.) for non-Hispanic white females. Age Sample sample sitd. Error Size Mean Mean 09 0 3.9 0.09 937 62.4 0.11 20-39 60 and older (a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean helight for the younger women and that for the older women. (Use 20-39" so and older Interpret the interval We cannot draw a conclusion from the given information. We are 95%...
A report included the following information on the heights (in.) for non-Hispanic white females. Sample Sample Std. Error Mean Size Age Mean 20-39 65.5 0.09 865 60 and older 938 63.7 0.11 (a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use H20-39 - Hs0 and older) Interpret the interval. O We are 95% confident that the true average height of younger...
statistics help
7) Determine the decision criterion for rejecting the null hypothesis in the given hypothesis test ie, describe the values of the test statistic that would result in rejection of the null hypothesis Suppose you wish to test the claim that the mean value of the differences d for a population of paired data, is greater than 0. Given a sample of n-15 and a significance level of a-001, what criterion would be used for rejecting the null hypothesis...
A report included the following information on the heights (in.) for non-Hispanic white females Sample Sample Std. Error Mean Mean Age Size 20-39 64.7 867 0.09 60 and older 934 63.1 0.11 (a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use n39-H0 and older) 2.01 Interpret the interval. OWe are 95% confident that the true average height of younger women is...
A regort included the fallowing information an the heights (in.) for non-Hispanic white females. Sample Sample Std. Error Age Size Mean Mean 20-39 869 6 3,6 0,09 60 and older 938 61.8 0.11 (a) Calculate a confidence interval at confidence level approximately 95% for the difference between population mean height for the younger women and that for the older women. (Use #20-30-50 and older Interpret the interval. We are 95% confident that the true average height of younger women is...
Intro to Statistics:
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[8-1] Suppose we are testing the null hypothesis Ho: u = 50 and the alternative Ha: u 50 for a normal population with o 6. We took an SRS sample of size 48 and obtained x-bar 53. The P-value for the test is: 0.05 <0.05 Question 2 (0.5 points) 8-2] When performing a one-sample t-test, if the sample size is 14, then of freedom should be used for determining the confidence interval from the...
1. Consider the hypothesis test Ho:ui= u2 against Hi: 417 42. Suppose that sample sizes are n1 = 13, N2 = 10 X1=4.7, x2=6.8, s1=2 and S2 =2.5. Assume that the data are randomly drawn from two independent Normal distributions (b) Complete the steps i. through to test the hypothesis stated in number 1 using a = 0.05 and the fact that the populations variances can be assumed to be equal. Ho: Mi= H2 Hj: Mit up i. Test Statistic:...
Let x = age in years of a rural Quebec woman at the time of her first marriage. In the year 1941, the population variance of x was approximately σ2 = 5.1. Suppose a recent study of age at first marriage for a random sample of 41 women in rural Quebec gave a sample variance s2 = 2.6. Use a 5% level of significance to test the claim that the current variance is less than 5.1. Find a 90% confidence...