An education publication claims that the mean score for grade 12 students on a science achievement test is more than 145. You want to test this claim. You randomly select 36 grade 12 test scores. The results are listed below. At α = 0.1, can you support the publication’s claim?

(a) Identify the claim and state H₀ and H_a, 

(b) Use technology to find the P-value, 

(c) Decide whether to reject or fail to reject the null hypothesis, and 

(d) Interpret the decision in the context of the original claim. Assume the population is normally distributed.

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188 80 175 195 201 143 119 81 118 119 165 222 222 90 120 120 97 200 110 199 181 79 135 124 205 109 134 216 167 198 183 173 187 143 166 147 219 206