In your attempt to “catch them all” you hunt the prized Pokemon, Mew and Mewtwo. As...

In your attempt to “catch them all” you hunt the prized Pokemon, Mew and Mewtwo. As you battle them with your top 25 Pokemon, you lose every battle. However, after each battle, you notice that the hit points (HP) of Mew and Mewtwo have been reduced. The remaining HPs of Mew and Mewtwo are shown below after battling your respective Pokemon. (A higher HP remaining indicates more success in battle.) You suspect that Mewtwo is the tougher opponent, and you want to test this hypothesis at the 95% level of confidence.

Attacker	Mew	Mewtwo
Bulbasaur	402	377
Ivysaur	305	354
Venusaur	348	343
Charmander	350	341
Charmeleon	320	347
Charizard	340	401
Squirtle	396	406
Wartortle	311	364
Blastoise	367	381
Caterpie	309	402
Metapod	391	387
Butterfree	385	347
Weedle	390	349
Kakuna	313	402
Beedrill	396	403
Pidgey	394	389
Pidgeotto	329	395
Pidgeot	375	356
Rattata	364	340
Raticate	340	400
Spearow	365	405
Fearow	395	402
Ekans	365	377
Arbok	396	341
Pikachu	381	399

Assume that before each battle, Mew and Mewtwo started with the same number of HPs.

a. State the null hypotheses for this test.

b. State the alternative hypotheses for this test.

c. What type of test will you use to test this hypothesis?

d. Describe the Type I Error for this test, and explain its implication for you as you continue your quest.

e. Describe the Type II Error for this test, and explain its implication for you as you continue your quest.

f. What is the rejection region for this hypothesis test?

g. Calculate the test statistic for this hypothesis test. What is your conclusion?

h. If you reject the null hypothesis for this test, what is the probability that you have committed a Type I Error? (i.e., find the p-value for this test.)

i. What action will you take as you continue your quest based on your conclusion.

Solutions

Expert Solution

Please go through the answer. I have done the first 6 subparts.

orchestra answered 1 year ago

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