According to a survey, people in a certain country ate an average of
205 meals in restaurants in 2001. The data in the accompanying table show the number of meals eaten in restaurants as determined from a random sample of people in this country in 2009. Complete parts (a) through (d) below.
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213 |
132 |
199 |
344 |
141 |
80 |
183 |
309 |
56 |
197 |
|
168 |
310 |
95 |
231 |
266 |
292 |
226 |
316 |
206 |
173 |
a. Using alphaαequals=0.02
test the hypothesis that the number of meals eaten at restaurants by people in this country has not changed since 2001.
Determine the null and alternative hypotheses. Choose the correct answer below.
A. Upper H 0H0: mu not equals 205 μ≠205 and Upper H 1H1: mu equals 205μ=205
B. Upper H 0H0: mu equals 205μ=205 and Upper H 1H1: mu not equals 205μ≠205
C. Upper H 0H0: mu greater than or equals 205μ≥205 and Upper H 1H1: mu less than 205μ<205
D. Upper H 0H0: mu equals 205μ=205 and Upper H 1H1: mu greater than 205
Could you also provide the c-value(s), p-value, test statistic, and whether to reject or ftr?
a) Correct answer: Option (B) H0: μ=205 and H1: μ≠205
b) From the given data
Test Statistic:
c) Decision:
d) Conclusion:
We conclude that μ=205 i.e. the number of meals eaten at restaurants by people in this country has not changed since 2001.
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