Question

In: Statistics and Probability

A simple random sample of 16 adults drawn from a certain population of adults yielded a...

A simple random sample of 16 adults drawn from a certain population of adults yielded a mean weight of 63kg. Assume that weights in the population are approximately normally distributed with a variance of 49. Do the sample data provide sufficient evidence for us to conclude that the mean weight for the population is less than 70 kg? Let the probability of committing a type I error be .01. 1. Write the hypotheses, indicate the claim 2. find the critical value t-value 3. calculate the standardized t -value 4. what is the decision

Solutions

Expert Solution


Related Solutions

A simple random sample of size n equals 16 is drawn from a population that is...
A simple random sample of size n equals 16 is drawn from a population that is normally distributed. The sample variance is found to be 13.7 Test whether the population variance is greater than 10 at the alpha equals 0.05 level of significance. I only need to find the test statistic and the p-value. Would you go through it step by step please.
A simple random sample of size n equals 40 is drawn from a population. The sample...
A simple random sample of size n equals 40 is drawn from a population. The sample mean is found to be x overbar equals 121.9 and the sample standard deviation is found to be s equals 12.9. Construct a​ 99% confidence interval for the population mean. Lower bound: Upper bound:
A simple random sample of size n=40 is drawn from a population. The sample mean is...
A simple random sample of size n=40 is drawn from a population. The sample mean is found to be x=121.7 and the sample standard deviation is found to be s=13.3. Construct a​ 99% confidence interval for the population mean. The lower bound is ​ (Round to two decimal places as​ needed.)
A simple random sample of size n= 40 is drawn from a population. The sample mean...
A simple random sample of size n= 40 is drawn from a population. The sample mean is found to be x= 120.6 and the sample standard deviation is found to be s 13.3 Construct a​ 99% confidence interval for the population mean.
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar​, is found to be 115​, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct an 80​% confidence interval about mu if the sample​ size, n, is 12. ​(b) Construct an 80​% confidence interval about mu if the sample​ size, n, is 27. ​(c) Construct a 98​% confidence interval about mu if the sample​ size, n,...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar is found to be 112, and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 95% confidence interval about μ if the sample​ size, n, is 26. ​(b) Construct a 95​% confidence interval about μ if the sample​ size, n, is 17. ​(c) Construct an 80​% confidence interval about μ if the sample​ size, n,...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbarx​, is found to be 106106​, and the sample standard​ deviation, s, is found to be 1010. ​(a) Construct aa 9595​% confidence interval about muμ if the sample​ size, n, is 1111. ​(b) Construct aa 9595​% confidence interval about muμ if the sample​ size, n, is 2929. ​(c) Construct aa 9999​% confidence interval about muμ if the sample​ size, n,...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbarx​, is found to be 110​, and the sample standard​ deviation, s, is found to be 10. ​(b) Construct a 95​% confidence interval about μ if the sample​ size, n, is 13. ​(c) Construct a 70​% confidence interval about μ if the sample​ size, n, is 25. ​(d) Could we have computed the confidence intervals in parts​ (a)-(c) if the...
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean,x overbarx​, is found to be 115​,and the sample standard​ deviation, s, is found to be 10. ​(a) Construct a 95​% confidence interval about μ if the sample​ size, n, is 23. ​(b) Construct a 95​% confidence interval about μ if the sample​ size, n, is 18. ​(c) Construct a 70% confidence interval about μ if the sample​ size, n, is 23....
A simple random sample of size n is drawn from a population that is normally distributed....
A simple random sample of size n is drawn from a population that is normally distributed. The sample​ mean, x overbar ​, is found to be 106 ​, and the sample standard​ deviation, s, is found to be 10 . ​(a) Construct an 95 ​% confidence interval about mu if the sample​ size, n, is 18 . The Lower Bound and Upper Bound ​(b) Construct an 95 ​% confidence interval about mu if the sample​ size, n, is 25 ....
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT