Four laboratories are being used to perform chemical analysis. Samples of the same material are sent to the laboratories for analysis as part of the study to determine whether or not they give, on the average, the same results. The analytical results for the 4 laboratories are as follows: Laboratory A B D 58.7 62.7 55.9 60.7 61.4 64.5 56.1 60.3 60.9 63.1 57.3 60.9 59.2 60.3 59.1 55.2 61.4 58.2 58.1 62.3 Perform the ANOVA at the 0.05 level of significance and give conclusions concerning the laboratories. The conclusion is a. There is no significant relationship among the average number of chemicals produced by the four laboratories. b. The average number of chemicals produced by the four laboratories are the same. c. There is a significant relationship among the average number of chemicals produced by the four laboratories. d. At least two of average number of chemicals produced by the four laboratories are significantly. A

The weight percent of silicon in six different rock samples, each containing different amounts of silicon, was measured by two different methods. The results are given in the table. Sample Method A Si wt% Method B Si wt% 1 11.570 11.500 2 15.380 15.300 3 17.950 17.830 4 22.840 22.810 5 25.110 25.150 6 27.070 27.040 Determine tcalc. tcalc = Determine ttable at the 95% confidence level. A list of t values can be found in the Student's t table. ttable =

A psychologist would like to examine the effects of sugar consumption on the activity level of preschool children. Three samples of children are selected with n = 5 in each sample. One group gets no sugar, one group gets a small dose, and the third group gets a large dose. The psychologist records the activity level for each child. The data from this experiment are presented below. No sugar Small dose Large dose 3 6. 3 3 8 1 7 G = 60 1 4 2 EX? = 298 3 4 T = 15 T = 20 T = 25 SS = 16 SS = 12 SS = 20 A) Solve for, Critical F: = B) Do these data indicate any significant differences among the three groups? Test with a = .05. C) Do you reject or fail to reject Ho and why? ABC

You have been hired to measure the concentration of ammonia in water from wells at two districts on Long Island. After sampling 10 wells in one of the districts you find the values are, in mg/L: 6.4, 2.1, 1.4, 0.7, 6.8, 3.2, 2.7, 1.6, 4.9, 1.2. Your assistant plots the data from the second set of wells and the histogram of data from that sample looks pretty much the same as for your data set. Which statistical test do you anticipate that you will use? An one-sample t-test An unpaired, two-sample t-test A paired, two-sample t-test A one-way anova A Mann-Whitney U test Main Content

5 and 6. The following data was collected from 1 bag of Hershey Kisses®. Each Kiss® was weighed in grams with the wrapper and recorded in the table below. Hershey claims that there are 368 grams of chocolate in one bag.     Hershey Kiss Weights in Grams 4.76 4.72 4.74 4.55 4.91 4.74 4.78 4.71 4.80 4.78 4.78 4.75 4.79 4.82 4.91 4.83 4.68 4.74 4.70 4.80 4.70 4.76 4.70 4.83 4.93 4.74 4.84 4.82 4.76 4.77 4.72 4.78 4.83 4.75 4.74 4.68 4.84 4.71 4.71 4.76 4.66 4.78 4.73 4.74 4.92 4.77 4.80 4.79 4.86 4.64 4.78 4.70 4.75 4.78 4.76 4.83 4.66 4.77 4.83 4.78 4.69 4.81 4.68 4.78 4.88 4.72 4.85 4.85 4.81 4.74 4.80 4.82 4.84 4.70 4.85 4.70 4.81 4.72 4.79 4.73 4.61   Based on Hershey's® claim for 368 total net grams of chocolate in the bag, approximately how many Kisses® too many or too few are there? Assume that the Kisses® were weighed with the wrapper, each wrapper weighs 0.12 grams, and the net grams listed on the bag are for the chocolate only. Give some possible…

The percentage crude protein content of hay was determined based on 10 bale samples collected from each of four locations (plots as treatments) on a large ranch as follows: Plot A 12.8 13.4 11.2 11.6 9.4 10.3 14.1 11.9 10.5 10.4 b. Plot B 8.1 10.3 4.2 7.8 5.6 8.1 12.7 6.8 6.9 6.4 Plot C 9.8 10.6 9.1 4.3 11.2 11.6 8.3 8.9 9.2 6.4 Plot D 16.4 8.2 15.1 10.4 7.8 9.2 12.6 11.0 8.0 9.8 Set up and complete an ANOVA table for a one-way analysis. Show all work.

The average worker at a local brake manufacturer produces 10 brakes per day (other statistical information was not known).  An industrial psychologist was hired to increase worker productivity and a new assembly method was designed and tested in a sample of workers. Identify the appropriate test.   Select one: a. independent samples t test b. z test c. single sample t test d. paired samples t test

For the following data 4,4,6, 10 o = 2.4 Then C.V.= Select one: O a. 25% O b. 47% Ос. 22.4% d. 40%

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.   Full data set      Carpeted   Uncarpeted 14.214.2 15.415.4 1616 6.46.4 6.76.7 7.97.9 9.79.7 8.38.3 7.57.5 8.38.3 12.412.4 11.911.9 9.99.9 13.613.6   9.59.5 7.67.6   Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha equals 0.05α=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.     A. Upper H 0H0​: mu 1 less than mu 2μ1<μ2 Upper H 1H1​: mu 1 greater than mu 2μ1>μ2   B. Upper H 0H0​: mu 1 equals mu 2μ1=μ2 Upper H 1H1​: mu 1 greater than mu 2μ1>μ2 Your answer is…

Calculate SST, SSB, and SSw for the following set of data: Treatment 1 Treatment 2 Treatment 3 n = 10 T = 10 n = 10 T = 20 n = 10 T = 30 N = 30 G = 60 X %3D SS = 16 Σχ. SS = 27 SS = 23 = 206