Kayla Greene is a team lead for an environmental group for a certain region. She is investigating whether the population mean monthly number of kilowatt hours (kWh) used per residential customer in the region has changed from 2006 to 2017 She is concerned that changes such as more efficient lighting and the increased use of electronics and air conditioners are affecting the mean monthly number of kilowatt hours consumed per residential customer. Kayla investigates the data and assumes the population standard deviation for 2006 and 2017 using the data that were provided to her by local utility companies. Using data that was collected by her company, Kayla selects a random sample of residential customers who were active for all of 2006 and a separate sample of residential customers who were active for all of 2017. The population standard deviations and the results from the samples are provided in the accompanying table. Explain whether a hypothesis test for the difference between two means of independent samples is appropriate, and if so, determine the null and alternative hypotheses for this hypothesis test. Let 1 be the population mean monthly number of kilowatt hours consumed per residential customer in 2006 and be the population mean monthly number of kilowatt hours consumed per residential customer in 2017. 2006 2017 910.2kWh 894.7 kWh 1 424 361 n1 n2 182.9 kWh 193.1 kWh σι 02

Question
Kayla Greene is a team lead for an environmental group for a certain region. She is investigating whether the population
mean monthly number of kilowatt hours (kWh) used per residential customer in the region has changed from 2006 to 2017
She is concerned that changes such as more efficient lighting and the increased use of electronics and air conditioners are
affecting the mean monthly number of kilowatt hours consumed per residential customer. Kayla investigates the data and
assumes the population standard deviation for 2006 and 2017 using the data that were provided to her by local utility
companies. Using data that was collected by her company, Kayla selects a random sample of residential customers who
were active for all of 2006 and a separate sample of residential customers who were active for all of 2017. The population
standard deviations and the results from the samples are provided in the accompanying table. Explain whether a hypothesis
test for the difference between two means of independent samples is appropriate, and if so, determine the null and
alternative hypotheses for this hypothesis test. Let 1 be the population mean monthly number of kilowatt hours consumed
per residential customer in 2006 and be the population mean monthly number of kilowatt hours consumed per
residential customer in 2017.
2006
2017
910.2kWh
894.7 kWh
1
424
361
n1
n2
182.9 kWh
193.1 kWh
σι
02

Image Transcription

Kayla Greene is a team lead for an environmental group for a certain region. She is investigating whether the population mean monthly number of kilowatt hours (kWh) used per residential customer in the region has changed from 2006 to 2017 She is concerned that changes such as more efficient lighting and the increased use of electronics and air conditioners are affecting the mean monthly number of kilowatt hours consumed per residential customer. Kayla investigates the data and assumes the population standard deviation for 2006 and 2017 using the data that were provided to her by local utility companies. Using data that was collected by her company, Kayla selects a random sample of residential customers who were active for all of 2006 and a separate sample of residential customers who were active for all of 2017. The population standard deviations and the results from the samples are provided in the accompanying table. Explain whether a hypothesis test for the difference between two means of independent samples is appropriate, and if so, determine the null and alternative hypotheses for this hypothesis test. Let 1 be the population mean monthly number of kilowatt hours consumed per residential customer in 2006 and be the population mean monthly number of kilowatt hours consumed per residential customer in 2017. 2006 2017 910.2kWh 894.7 kWh 1 424 361 n1 n2 182.9 kWh 193.1 kWh σι 02

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