Question

**According to the historical data, the life expectancy in
Belgium in less than or equal to the life expectancy in the US. A
new study has been made to see whether this has changed. Records of
200 individuals from Belgium who died recently are selected at
random. The 200 individuals lived an average of 78.4 years with a
standard deviation of 8.2 years. Records of 210 individuals from
the US who died recently are selected at random and independently.
The 210 individuals lived an average of 76.5 years with a standard
deviation of 7.8 years. Assume the population standard deviations
of the life expectancies can be estimated by the sample standard
deviations, since the samples that are used to compute them are
quite large. At the 0.05 level of significance, is there enough
evidence to support the claim that the life expectancy,
µ _{1}, in Belgium is greater than the life expectancy
µ_{2}, in the US? Perform a one-tailed test. Then fill in
the table below.**

**Carry out your intermediate computations to at least 3
decimal places and round your answers as specified in the
table.**

- The Null Hypothesis: H
_{0}= - The Alternative Hypothesis: H
_{1 =} - The type of test statistic?
**Z, t, Chi Square, F** - The value of the test statistic (round to at least 3 decimal places):
- The critical value at the 0.05 level of significance (round to at least 3 decimal places):
- Can we support the claim that the life expectancy in Belgium is greater than the life expectancy in the US? YES or NO

Answer #1

According to the historical data, the life expectancy in the
United States is less than or equal to the life expectancy in
Denmark. A new study has been made to see whether this has changed.
Records of
225
individuals from the United States who died recently are
selected at random. The
225
individuals lived an average of
77.7
years with a standard deviation of
7.8
years. Records of
295
individuals from Denmark who died recently are selected at
random and...

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275
individuals from Egypt who died recently are selected at random.
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275
individuals lived an average of
63.6
years with a standard deviation of
2.8
years. Records of
230
individuals from Morocco who died recently are selected at
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230
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