1, Describe the sample space of the following experiments: (1) Flip a coin and observe which side is up. (2) Roll a die and observe the number of points. (3)Select three pieces from a batch of products and record the number of genuine and defective ones
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- List the sample space of each experiment. Rolling one die and tossing one coinList the sample space of each experiment. Tossing three coinsNocaf Drinks, Inc., a producer of decaffeinated coffee, bottles Nocaf. Each bottle should have a net weight of 4 oz. The machine that fills the bottles with coffee is new, and the operations manager wants to make sure that it is properly adjusted. Bonnie Crutcher, The Operations Manager, randomly selects and weighs. n = 8 bottles and rounds the average and range in ounces for each sample. The data for several samples is given in the following table. Note that every sample consist of 8 bottles. 1. Find Grand X-Bar 2. Find R-Bar 3. Using the Sample Chart Locate Sigma 4. Using the UCL Formula insert the values into the formula SAMPLE SAMPLE RANGE SAMPLE AVERAGE A B C D E E F P G H UCL=x+A₂ (R) LCL=X-A₂ (R) .41 55 44 48 56 .56 .62 54 .44 A2 = .373 UCL in Inches = 4.00 4.16 3.99 4.00 4.17 3.93 3.98 4.01 Round Your Response Two Decimal Places UCL=D4(R) LCL=D3(R)
- A pair of three-sided dice is rolled with values 1,2 and 3. Let X equal the value of the first die rolled, and let Y equal the value of the second die. a. Find the Sample Space of the experiment B. Find P(Y=2X) C. Find P(3-Y=X)In a study conducted to examine the quality of fish after 7 days in ice storage, ten raw fish of the same kind and approximately the same size were caught and prepared for ice storage. The fish were placed in ice storage at different times after being caught. A measure of fish quality was given to each fish after 7 days in ice storage. The sample data are shown below, where "Time" is the number of hours after being caught that the fish was placed in ice storage and "Fish Quality" is the measure given to each fish after 7 days in ice storage (higher numbers mean better quality). Which variable would be considered the response variable? Fish Time: 0 0 2 3 5 6 7 9 11 12 Fish Quality 8.5 8.4 8.0 8.1 7.8 7.6 7.3 7.0 6.8 6.7 Choose the correct answer below. A.Fish Quality B.Time C.Neither variable could be considered a response variable.Professor Zuro surveyed a random sample of 420 statistics students. One of the questions was "Will you take another mathematics class?" The results showed that 252 of the students said yes. What is the sample proportion, p of students who say they will take another math class? Round to three decimal places. OA. 0.600 OB. 0.252 OC. 0.420 OD. 0.775
- King Charles III has ordered samples to be taken from each of two different hair combs belonging to his granddaughters, Charlotte and Lilibet. Both of the hair combs are made from alpacca, a copper alloy that contains nickel and zinc. The following results were obtained for the percent nickel in the hair combs: Charolette's comb values: 19.14, 19.17, 20.17, 20.44, 19.99, and 20.44 Lillibet's comb values: 20.48, 20.38, 20.94, 20.71, 20.77, and 20.43. Calculate f-experimental, f-critical, s-pooled, and t-experimental .Your roommate is taking a physics lab class. His first assignment is to roll a six sided die 50 times, and to compute the percentage of each face appearing. He cannot find a dice, and he wants to turn in the fake data table below. Find the two flaws in his table. Face Value: 1 2 3 4 5 6% of times observed: 20 13 17 16 24 7The control department of a light bulb manufacturer randomly picks 4400 light bulbs from the production lot every week. The records show that, when there is no malfunction, the defect rate in the manufacturing process ( due to imperfections in the material used) is 1%. When 1.25% or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following.
- A battery manufacturer wants to determine how long its batteries will last. They assign a number to each battery produced and have a computer select the batteries to be tested. What type of sample does this represent?A student decides to spin a dime and determine the proportion of times it lands on heads. The student spins the dime 25 times and records that it lands on heads 17 times. Let p = the true proportion of times the dime would land on heads when spun. Under the assumption that the true proportion is 0.5, 100 simulated proportions for samples of size 25 is shown in the dotplot. Proportion of Heads 0.20 0.30 0.40 0.50 Simulated proportions of samples, n = 25 0.60 0.70 0.80 Mark this and retun Save and Exit Next Submit up 9% & *- 8. e mA gym manager is interested in whether the ‘beginner’ and ‘expert’ climbing walls (that were of the same height) at her facility are actually different from each other. To test this, she decides to look at the time it takes people to reach the top of both walls. She recruits 25 students and has them each climb both walls and looks for differences between the ‘beginner’ wall climbing times and the ‘expert’ wall climbing times. Select one: a. single sample t-test b. one-way ANOVA c. paired samples t-test d. z-test e. factorial ANOVA f. t-test independent means