A researcher was studying how much electricity (in kilowatt hours) people in Spain and Germany used in their homes last year. The researcher took a random sample of people from each country to test if the average electricity usage was significantly different. Here is a summary of their results: Electricity usage Country Mean StDev SE mean Spain 100 1780 415 41.5 Germany 100 1690 405 40.5 95% CI for us - µG: 90 + 114.4 The researcher wants to use these results to test Ho: us = HG versus H: Hs # µG. Assume that all conditions for inference have been met. Based on the interval, what do we know about the corresponding P-value and conclusion at the a = 0.05 level of significance? The P-value is less than a=0.05, and they should conclude that there is a difference between the means. The P-value is less than a=0.05, and they cannot conclude that there is a difference between the means. The P-value is greater than a=0.05, O and they cannot conclude that there is a difference between the means. The P-value is greater than a=0.05, and they should conclude that there is a difference between the means.

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A researcher was studying how much electricity (in kilowatt hours) people in Spain and Germany used in
their homes last year. The researcher took a random sample of people from each country to test if the
average electricity usage was significantly different. Here is a summary of their results:
Electricity usage
Country
Mean
StDev
SE mean
Spain
100
1780
415
41.5
Germany
100
1690
405
40.5
95% CI for us - PG:
90 + 114.4
The researcher wants to use these results to test Ho: µs = PG versus H: µs # pG. Assume that all
conditions for inference have been met.
Based on the interval, what do we know about the corresponding P-value and conclusion at the
a = 0.05 level of significance?
The P-value is less than a=0.05, and
they should conclude that there is a
difference between the means.
The P-value is less than a=0.05, and
they cannot conclude that there is a
difference between the means.
The P-value is greater than a=0.05,
and they cannot conclude that there
is a difference between the means.
The P-value is greater than a=0.05,
O and they should conclude that there
is a difference between the means.
Transcribed Image Text:A researcher was studying how much electricity (in kilowatt hours) people in Spain and Germany used in their homes last year. The researcher took a random sample of people from each country to test if the average electricity usage was significantly different. Here is a summary of their results: Electricity usage Country Mean StDev SE mean Spain 100 1780 415 41.5 Germany 100 1690 405 40.5 95% CI for us - PG: 90 + 114.4 The researcher wants to use these results to test Ho: µs = PG versus H: µs # pG. Assume that all conditions for inference have been met. Based on the interval, what do we know about the corresponding P-value and conclusion at the a = 0.05 level of significance? The P-value is less than a=0.05, and they should conclude that there is a difference between the means. The P-value is less than a=0.05, and they cannot conclude that there is a difference between the means. The P-value is greater than a=0.05, and they cannot conclude that there is a difference between the means. The P-value is greater than a=0.05, O and they should conclude that there is a difference between the means.
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