A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms. OA. Ho: H₁ = ¹₂ H₁: H₁ H₂ Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the a= 0.05 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. OB. Ho: H₁ H₁: H₁ H₂ H₂ c. Ho: H₁ H₂ H₁: Hy > H₂ OD. Ho: H₁ H₂ H₁: H₁ H₂ Carpeted 15.5 14.1 7.6 14.1 13.4 10 14.1 6 Determine the P-value for this hypothesis test. P-value = (Round to three decimal places as needed.) Full data set Uncarpeted 9.6 5.2 6.5 6.7 8.5 6.4 10.9 5.8

Scooping ice cream Ice cream usually comes in 1.5 quart boxes (48 fluid ounces), and ice cream scoops hold about 2 ounces. However, there is some variability in the amount of ice cream in a box as well as the amount of ice cream scooped out. We represent the amount of ice cream in the box as X and the amount scooped out as Y. Suppose these random variables have the following means, standard deviations, and variances: mean SD variance Х 48 1.1 1.21 Y 2 0.27 0.0729 An entire box of ice cream, plus 9 scoops from a second box is served at a party. How much ice cream do you expect to have been served at this party? 66 What is the standard deviation of the amount of ice cream served? How much ice cream would you expect to be left in the box after scooping out 2 scoop(s) of ice cream? 46 What is the standard deviation of the amount left in the box?

Find the proportion of Normally distributed observations with a z-score above 0.80. Give your answer to four decimal places. Find the proportion of N.d. observations with a z-score between z1​= -0.34 and z2​= 2.72. Give your answer to four decimal places.

Patients with two kinds of diagnoses were randomly assigned to one of three types of therapy and the effectiveness of the therapy was measure a 1-to-15 scale (with a higher number indicating greater effectiveness). There were two patients per cell. Use the data available below to comple parts (a) through (d) below. Click the icon to view the data table. Click here to view page 1 of the table of cutoff values for the F distribution. Click here to view page 2 of the table of cutoff values for the F distribution. Click here to view page 3 of the table of cutoff values for the F distribution. Click here to view page 4 of the table of cutoff values for the F distribution (a) Carry out the analysis of variance (use the 0.05 significance level). Complete the analysis of variance table for the data set below. SS MS F Source Columns Rows Interaction Within Total (Round to two decimal places as needed.) Data Table Diagnosis I Diagnosis II Therapy A 5 1 7 Print Therapy B 7 12 Done Therapy C 4282…