A researcher wanted to determine if carpeted rooms contain more bacteria than un

Question

A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number Full data set of bacteria per cubic foot for both types of rooms. Carpeted Uncarpeted 15.1 729 15.4 5.8 12.1 12.6 9.8 0.6 3.8 5.6 11 13.6 2.3 13.9 11.6 10.1 Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the o 0.01 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms. A. Ho: H H2 H1: 1 H2 O B. Ho: Hi H2 H1: H O C. Ho: H1 H2 H1: H H2 O D. Ho: Hi H2 H1: H H2 Determine the P-value for this hypothesis test. P-value J Round to three decimal places as needed State the appropriate conclusion. Choose the correct answer below.

Explanation / Answer

null and alternate hypothesis:

option D is correct

here degree of freedom =v=((s12/n1+s22/n2)2/((s12/n1)2/(n1-1)+(s22/n2)2/(n2-1))~13

std error =(s12/n1+s22/n2)1/2=1.4332

hence test stat =(X1-X2)/std error =1.4129

for above p value =0.091

as p value is greater then 0.01 level;

option C is correct

S. no Carpeted Uncarpetd 1 15.1 5.8 2 7.9 12.1 3 15.4 12.6 4 9.8 5.6 5 10.6 11.2 6 13.8 13.6 7 12.3 11.6 8 13.9 10.1 total 98.800 82.600 mean 12.350 10.325 std deviation(S) 2.692 3.031

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