Question

Using Minitab, List Hypothesis, Give P-values, and state the conclusion A certain chemical reaction was run three times at each of three temperatures. The yields, expressed as a percent of a theoretical maximum, were as follows: Temperature( Yields 81 826 77. 93.3 88.9 86.0 78 89.2 88.5 70 80 90 a. Construct an ANOVA table. You may give a range for the P-value. b. Can you conclude that the mean yield difers with temperature? 2 Four different types of solar energy collectors were tested. Each was tested at five randomly chosen times, and the power (in watts) was measured. The results were as follows. Collector Power A 1.9 6 20 8 16 B .7 19 8 7.7 C 1.2 0.9 1.2 0.9 1.4 D 15 10 14 3 14 a. Construct an ANOVA table. You may give a range for the P-value. Can you conclude that the mean power differs for different collectors?

Answer 1

Question 9

Answer:

Part a

Required Minitab output is given as below:

One-way ANOVA: Yields versus Temperature

Analysis of Variance for Yields

Source     DF        SS        MS        F        P

Temperat    2    148.56     74.28    10.53    0.011

Error       6     42.33      7.05

Total       8    190.89

P-value = 0.011

Part b

P-value < alpha value = 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that mean yield differs with temperature.

Question 12

Answer:

Part a

Required Minitab output is given as below:

One-way ANOVA: Power versus Collector

Analysis of Variance for Power  

Source     DF        SS        MS        F        P

Collecto    3    1.6135    0.5378    17.35    0.000

Error      16    0.4960    0.0310

Total      19    2.1095

P-value = 0.000

Part b

P-value < alpha value 0.05

So, we reject the null hypothesis

There is sufficient evidence to conclude that the mean power differs for different collectors.