Question

Sea Level Change (mm)	Annual Lobbying on Oil and Gas ($mil)
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
na	na
-38.15	na
-36.98	na
-35.56	na
-31.70	na
-25.89	na
-23.88	62.4
-20.92	60
-17.92	50.8
-12.56	51.2
-9.26	58.6
-6.19	56.8
-4.35	52.4
0.10	66.5
1.10	75.2
1.73	86.5
4.20	135.1
8.98	174.9
10.12	147.9
9.09	150.2
19.73	139.1
22.03	143.9
25.30	141.1
35.60	130.4
37.44	117.5

1. Test the following hypotheses (show all the steps and clearly state your conclusions) at the 95% level of confidence
2. 1. Variable: Variable: Sea Level Anomaly (mm): A sea level anomaly of 0 implies that sea level are at the base level around 2005. Over the time frame in this data set, have sea levels exceeded 0?
   2. Annual lobbying on Oil and Gas ($mil): Has annual spending on the oil and gas lobby been above $100 million?

Answer 1

We do not use na values in our calculation.

We use Minitab to solve this question

Results for: Worksheet 2

MTB > OneT 'Sea Level Change (mm)';
SUBC>   Test 0;
SUBC>   Confidence 95.0;
SUBC>   Alternative 1.

One-Sample T: Sea Level Change (mm)

Test of μ = 0 vs > 0

Variable                             N   Mean    StDev SE Mean    95% Lower Bound      T        P
Sea Level Change (mm) 24 -3.66      22.40        4.57                 -11.50              -0.80   0.784

Observe that p-value = 0.784 > alpha = 0.05, Do not reject Ho

Conclusion - From given sample information there is not enough evidence to say that sea levels exceeded 0.

MTB > OneT 'Annual Lobbying on Oil and Gas';
SUBC>   Test 100;
SUBC>   Confidence 95.0;
SUBC>   Alternative 1.

One-Sample T: Annual Lobbying on Oil and Gas

Test of μ = 100 vs > 100

Variable                              N    Mean StDev SE Mean    95% Lower Bound       T       P
Annual Lobbying on Oil a 19 100.03   43.21        9.91            82.84                0.00   0.499

Observe that p-value = 0.499 > alpha = 0.05, Do not reject Ho

Conclusion - From given sample information, there is not enough evidence to say that, Annual lobbying on Oil and Gas ($mil): Has annual spending on the oil and gas lobby been above $100 million