A research is conducted to investigate the prevalence of airborne bacteria in carpeted and uncarpeted rooms in a hospital. Eight samples of room air from both rooms were pumped over a Petri dish and incubated for three hours before the number of bacteria formed on each Petri dish were measured (in bacteria per cubic foot of air). A statistical analysis of the data using Microsoft Excel is illustrated in Figure 1. Assume that the number of bacteria has a normal distribution. i) Conduct a necessary analysis to show that the number of bacteria formed in both carpeted and uncarpeted rooms have equal population variances at 4% level of significance. Use confidence interval approach. ii) It is claimed that the carpeted rooms are more likely to accumulate more bacteria compared to uncarpeted rooms. Test this claim at 4% level of significance using P-value approach.
A research is conducted to investigate the prevalence of airborne bacteria in carpeted and uncarpeted rooms in a hospital. Eight samples of room air from both rooms were pumped over a Petri dish and incubated for three hours before the number of bacteria formed on each Petri dish were measured (in bacteria per cubic foot of air). A statistical analysis of the data using Microsoft Excel is illustrated in Figure 1. Assume that the number of bacteria has a
i) Conduct a necessary analysis to show that the number of bacteria formed in both carpeted and uncarpeted rooms have equal population variances at 4% level of significance. Use confidence interval approach.
ii) It is claimed that the carpeted rooms are more likely to accumulate more bacteria compared to uncarpeted rooms. Test this claim at 4% level of significance using P-value approach.
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