Answer each of the following to the best or your A. The weights (in pounds) for
ID: 3227286 • Letter: A
Question
Answer each of the following to the best or your A. The weights (in pounds) for 8 rowers on the Cambridge University crew team were as follows: Can these 8 rowers be treated as random sample of all students in Cambridge University for the purpose of estimating the average weight all Cambridge students? Explain. If these rowers are as random of all rowers in UK, obtain a 98% treated a sample confidence interval estimate for the mean weight of all UK rowers based on this sample. Based on the confidence #2, what is the margin of error of using the interval in sample mean weight of the 8 rowers as an estimate of the mean for all rowers in the UK? Explain what this margin of error mean. If mu represents the mean weight for all rowers in the UK, what are the null and alternative hypotheses for testing if the above sample of rowers provide statistically significant evidence that the mean weigh for all UK rowers is less than 180 pounds?Explanation / Answer
1.According to central limit theorem (CLT) is a statistical theory that states that given a sufficiently large sample size from a population with a finite level of variance, the mean of all samples from the same population will be approximately equal to the mean of the population.the sample should follow a normal distribution distribution.
since the sample of 8 foloows a normal distribution,so they can significant for purpose of estimating the population mean.
2.
If (n<30)
Confidence Interval = x ± t2 × (n) using these get confidence interval -(179.1<x<204.2)
where x=191.65 std dev=11.85,n=8
3. margin of error=Za/2 *[sd/sqrt(n)] = 2.326*[11.84/sqrt(8) =0.555
4 null hypo: the mean is equal to 180 pounds
alternative hypo: the mean is less than 180 pounds.