A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. Conduct a hypothesis test to determine if the means are statistically the same, using the same format as problem 2, a. H0: _______ b. Ha: _______ c. In words, clearly state what your random variable X represents. 1 − X 2 d. State the distribution to use for the test. e. What is the test statistic? f. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
A group of transfer bound students wondered if they will spend the same mean amount on texts and supplies each year at their four-year university as they have at their community college. They conducted a random survey of 54 students at their community college and 66 students at their local four-year university. The sample means were $947 and $1,011, respectively. The population standard deviations are known to be $254 and $87, respectively. Conduct a hypothesis test to determine if the means are statistically the same, using the same format as problem 2,
a. H0: _______
b. Ha: _______
c. In words, clearly state what your random variable X represents. 1 − X 2
d. State the distribution to use for the test.
e. What is the test statistic?
f. What is the p-value? In one to two complete sentences, explain what the p-value means for this problem.
g. Use the previous information to sketch a picture of this situation. CLEARLY label and scale the horizontal axis and shade the region(s) corresponding to the p-value.
h. Indicate the correct decision (“reject” or “do not reject” the null hypothesis), the reason for it, and write an appropriate conclusion, using complete sentences:
a. Alpha: _______
b. Decision: _______
c. Reason for decision: _______
d. Conclusion: _______
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