The leaning tower of pisa is an architectural wonder
Question #6 (use the following to solve a, b, and c below)
The Leaning Tower of Pisa is an architectural wonder. Engineers concerned about the tower’s stability have done extensive studies on its increasing tilt. The following table shows how the lean has changed in excess of 2.9 meters by year since 1975.
A regression analysis was run on this data, and the results from Excel are shown below.

What would Ho and Ha be to show whether the regression line is useful?

What is the result of the significance test tied to the regression line? Use α = 0.05. SOLVE AND INTERPRET CLEARLY AND THOROUGHLY.

What is the equation of the regression line? (if it in fact exists)
7) From a, b, c and d below, circle the statement that is actually valid.

A significance test is important because it proves without a shadow of a doubt that an outcome, ie result, is real and will never be wrong.

Rejecting the null hypothesis means that the outcome of the significance test should be repeatable under similar circumstances, ie experimental conditions.

If a pvalue is very large, it means that the result of the significance test was highly likely, therefore under similar circumstances, a similar result can also be repeatedly achieved.

The confidence level of a confidence interval indicates how often the random quantity known as the population mean will be located within a confidence interval.
Question #8(use the following to solve a, b, c, d, and e below)
An engineer working for a leading electronics firm claims to have invented a process for making longerlasting TV picture tubes. Tests run on 24 picture tubes made with the new process show a mean life of 1,725 hours. Tests run over the last 3 years on a very large number of TV picture tubes made with the old process consistently show a mean life of 1,538 hours and a standard deviation of 85 hours.
If you would like to test whether the engineer’s work has produced a picture tube that definitely lasts longer, what would be…

… the null hypothesis?

…the alternative hypothesis?

…the test statistic?

…the critical value? (Use α = 0.05)

…the result of the significance test? Note: BE THOROUGH. Do NOT just answer Reject or Fail to Reject.
Question #9
Professor Jane Newman teaches an introductory calculus course. She wanted to test the belief that suc cess in her course is affected by high school performance. She collected the randomly selected data listed below and ran an ANOVA test as shown below. The data in the “High School Record” table represents performance of the student in Jane’s calculus.
Anova: Single Factor 













SUMMARY 






Groups 
Count 
Sum 
Average 
Variance 


Good 
5 
437 
87.4 
23.8 


Fair 
7 
484 
69.14285714 
117.1428571 


Poor 
6 
357 
59.5 
45.5 
















ANOVA 






Source of Variation 
SS 
df 
MS 
F 
Pvalue 
F crit 
Between Groups 
2162.442857 
2 
1081.221429 
15.81415676 
0.000202214 
3.682320344 
Within Groups 
1025.557143 
15 
68.37047619 










Total 
3188 
17 




High School Record 

Good 
Fair 
Poor 
90 
80 
60 
86 
70 
60 
88 
61 
55 
93 
52 
62 
80 
73 
50 

65 
70 

83 

a) If we set α at 0.05, what would we conclude about the ANOVA test? State the null hypothesis and result clearly. Give a reason for your result.
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