calculate the number of hydrogen atoms in a 140.0g sample of tetraborane (B4H10)?
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calculate the number of hydrogen atoms in a 140.0g sample of tetraborane (B4H10)?
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The number of hydrogen atoms =140.0 g
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- In a large class, the professor has each person toss a coin several times and calculate the proportion of his or her tosses that were heads. The students then report their results, and the professor plots a histogram of these several proportions. If the student toss the coin 100 times each, about 68% should have proportions between what two numbers? Use the 68-95-99.7 Rule to provide the appropiate responseBefore the semester began, Professor Keithley predicted that 15% of hisphilosophy students would receive an A, 30% a B, 40% a C, 10% a D, and 5%an F. At the end of the semester, 14 of Professor Keithley’s philosophy studentsearned an A, 19 a B, 12 a C, 5 a D, and 2 an F.Use the Chi-Square test and a 0.05 level of significance to determine if ProfessorKeithley’s predicted percentages were accurate. (State your null and alternativehypothesis, find the critical values and test statistics, make a decision, and writea conclusion based on your results).O IV. None of these QUESTION 2 Question 11. (HEALTH IS WEALTH) A health conscious squirrel joined a gymnasium to run a treadmill in the month of April. At the end of the month, she noted the average mileages for a random sample of seven days is: x = 4.5 miles. She is worried to know how many miles should she run today so that her average mileage for 8 days becomes 5 miles. QUESTION 3 Question 8
- A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.7 4.2 3.9 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.1 4.7 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.) test statistic critical value Find (or estimate) the P-value. A. P-value > 0.250 B. 0.125 < P-value < 0.250 C. 0.050 < P-value < 0.125 D. 0.025 < P-value <…A random sample of n1 = 10 regions in New England gave the following violent crime rates (per million population). x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9 3.1 Another random sample of n2 = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x2: Rocky Mountain Crime Rate 3.5 4.1 4.5 5.5 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 Assume that the crime rate distribution is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use ? = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference ?1 − ?2. Round the test statistic and critical value to three decimal places.)oli.cmu.edu/course/a2/rest/assessement/deliver?attempt=1&context=7e118d530a0001dc243d5eafc726f6eb Countdown: Days:-0 Time:-12:02:41 10 points Researchers created a new fertilizer. They conducted an experiment to compare the new fertilizer to the old fertilizer. They divided tomato plants into two groups. They applied the new fertilizer to one group and the old fertilizer to another group. The variable is the number of tomatoes per plant on a randomly selected day. 0 0 Old Fertilizer N=65 2 4 New Fertilizer N=58 4 6 6 20 600 8 8 10 10 12 14 16 12 14 Number of tomatoes per plant 18 16 18 20 20 Select one answer. Which one of the following statements is valid? A. O The new formula of fertilizer works better. Plants with the new fertilizer had more tomatoes. B. O The old formula of fertilizer was better because the plant with the most tomatoes was treated with the old fertilizer. The average number of tomatoes per plant with the old fertilizer is higher than the average amount of tomatoes…
- You sample 1500 dung beetles in a population for 2 alleles A1 and A2 and get the following data: A1A1 825 individuals A1A2 525 individuals A2A2 135 Individuals Is this population in Hardy Weinberg Euilibrium, use a chi square test to determine?What type of test would best fit this problem?The 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%o or more of the light bulbs in the sample of 4400 are defective, the control unit calls repair technicians for service. Answer the following. (If necessary, consult a list of formulas.) (a) Find the mean of p, where p is the proportion of defective light bulbs in a sample of 4400 when there is no malfunction. (b) Find the standard deviation of p. (c) Compute an approximation for P(p N 0.0125), which is the probability that the service technicians will be called even though the system is functioning properly. Round your answer to four decimal places.
- (iii) Find (or estimate) the P-value. OP-value > 0.250 O 0.125 < P-value < 0.250 O 0.050 < P-value < 0.125 O 0.025 < P-value < 0.050 O 0.005< P-value < 0.025 OP-value < 0.005 Sketch the sampling distribution and show the area corresponding to the P-value. O -4 -2 0 2 2 M 2 DO Q -2 -2 (iv) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level a? O At the a= 0.01 level, we reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are not statistically significant. O At the a= 0.01 level, we fail to reject the null hypothesis and conclude the data are statistically significant. O At the a= 0.01 level, we reject the null hypothesis and conclude the data are statistically significant. (v) Interpret your conclusion in the context of the application. O Fail to reject the null hypothesis, there…The paragraph below is the study questions 16-21 d The Board of Transportation and Safety (BTS) wants to examine the safety mechanisms of A, B, and C-class cars. Samples of 7 cars for each of the classes were used. The board members collect the pressure exerted overall on the driver's body during a crash impact test. The BTS wants to see if there if a difference among the 3 classes of cars. Assume alpha of 0.05. What type of statistical test would be appropriate? O Pearson correlation O Multiple linear regression O one-way independent ANOVA O two-way independent ANOVA O simple linear regression QUESTION 17 Which of the following is the correct alternative hypothesis? O at least 2 of the means are different O all of the pairs of means are different O u1 = p2 = p3An experiment was conducted to test the effects of five different diets (A-E) in turkeys. Six turkeys were randomly assigned to each of the five different diet groups (Diet) and were fed for a fixed period of time. The weight gained in pounds was recorded for each turkey and the data was entered into R for analysis. R produced the following output. Between Within Total a. له له له م په b. C. d. e. Sum-of-squares (SS) Degrees of freedom Mean square (MS) ?? (b) 103.04 ???.?? (a) 110.9249 25 29 ????.??? (c) ????.??? (d) Find the sum-of-squares for within-group variability. Find the degrees of freedom for between-group variability. Find the mean-square of the between-group variability. F-statistic ??.????? p-value ????.??? (e) Find the mean-square of the within-group variability. Find the p-value for the ANOVA F-test. What is the conclusion? Are the means of the five diets significantly different?