MATHEMATICS

Homework  chapter 8 (1-15)

–          Table 1 : z table

–          Table 2: df  table

1.

A simple random sample of 25 observations is derived from a normally distributed population with a known standard deviation of 8.2. Use Table 1.

 

a. Is the condition that  formula76.mml is normally distributed satisfied?
   
 
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252699393847617_ans1\” VALUE=\”0\”>” MACROBUTTON HTMLDirect Yes
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252699393847617_ans1\” VALUE=\”1\”>” MACROBUTTON HTMLDirect No

 

b. Compute the margin of error with 80% confidence. (Round intermediate calculations to 4 decimal places, “z” value and final answer to 2 decimal places.)

 

  Margin of error   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252699393847617_ans2\” VALUE=\”\”>” MACROBUTTON HTMLDirect

 

c. Compute the margin of error with 90% confidence. (Round intermediate calculations to 4 decimal places, “z” value and final answer to 2 decimal places.)

 

  Margin of error   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252699393847617_ans3\” VALUE=\”\”>” MACROBUTTON HTMLDirect

 

d. Which of the two margins of error will lead to a wider interval?
   
 
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252699393847617_ans4\” VALUE=\”1\”>” MACROBUTTON HTMLDirect The margin of error with 90% confidence.
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252699393847617_ans4\” VALUE=\”0\”>” MACROBUTTON HTMLDirect The margin of error with 80% confidence.

 

 

2.

Consider a population with a known standard deviation of 26.8. In order to compute an interval estimate for the population mean, a sample of 64 observations is drawn. Use Table 1.

 

a. Is the condition that  formula80.mml is normally distributed satisfied?
   
 
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252700461258250_ans1\” VALUE=\”0\”>” MACROBUTTON HTMLDirect Yes
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252700461258250_ans1\” VALUE=\”1\”>” MACROBUTTON HTMLDirect No

 

b. Compute the margin of error at a 95% confidence level. (Round your intermediate calculations to 4 decimal places. Round “z” value and final answer to 2 decimal places.)

 

  Margin of error   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252700461258250_ans2\” VALUE=\”\”>” MACROBUTTON HTMLDirect

 

c. Compute the margin of error at a 95% confidence level based on a larger sample of 225 observations.(Round your intermediate calculations to 4 decimal places. Round “z” value and final answer to 2 decimal places.)

 

  Margin of error   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252700461258250_ans3\” VALUE=\”\”>” MACROBUTTON HTMLDirect

 

d. Which of the two margins of error will lead to a wider confidence interval?
   
 
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252700461258250_ans4\” VALUE=\”0\”>” MACROBUTTON HTMLDirect 95% confidence with n = 64.
  PRIVATE “<INPUT TYPE=\”radio\” NAME=\”Q_13252700461258250_ans4\” VALUE=\”1\”>” MACROBUTTON HTMLDirect 95% confidence with n = 225.

 

 

 

 

 

3.

In order to estimate the mean 30-year fixed mortgage rate for a home loan in the United States, a random sample of 28 recent loans is taken. The average calculated from this sample is 5.25%. It can be assumed that 30-year fixed mortgage rates are normally distributed with a standard deviation of 0.50%. Compute 90% and 99% confidence intervals for the population mean 30-year fixed mortgage rate. Use Table 1.(Round intermediate calculations to 4 decimal places, “z” value and final answers to 2 decimal places. Enter your answers as percentages, not decimals.)

 

Confidence Level Confidence Interval
90%   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252699982782602_ans1\” VALUE=\”\”>” MACROBUTTON HTMLDirect   % to   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252699982782602_ans2\” VALUE=\”\”>” MACROBUTTON HTMLDirect   %
99%   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252699982782602_ans3\” VALUE=\”\”>” MACROBUTTON HTMLDirect   % to   PRIVATE “<INPUT TYPE=\”text\” SIZE=\”7\” NAME=\”Q_13252699982782602_ans4\” VALUE=\”\”>” MACROBUTTON HTMLDirect   %

 

Order now and get 10% discount on all orders above $50 now!!The professional are ready and willing handle your assignment.

ORDER NOW »»