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- The average wind speed in Casper Wyoming has been found to 12.7 miles per hour and in Phoenix Arizona it is 6.2 mph. To test the relationship between the averages, the average wind speed has calculated for a sample of 31 days for each city. The results are reported below. Is there sufficient evidence at alpha = 0.05 to conclude that the average wind speed is greater in Casper or Phoenix ? Sample size Casper 31 Phoneix 31 Sample mean 12.85mph 7.9mph Sample standard deviation 3.3mph 2.8mphA dentist wanted to determine if a relationship existed between childhood fluoride exposure and cavities. She took a sample of adults in her practice and counted how many cavities each person had in his or her permanent teeth. She also determined how many years of childhood each person was exposed to tap water with fluoride. The minimum value on this variable was 0 and the maximum was 18. Using the data below, an alpha of .05 and a two-tailed test, was there a significant relationship? Years of fluoride Number of cavities 0 10 18 1 2 7 12 3 3 4 10 5 M = 7.5s =6.98 M = 5.00s = 3.16Unfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of μ=8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of x=7.3 ppb arsenic. It is known that σ=1.9 ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use α=0.01 What is the hypotheses for this problem? A: Ho μ =7.3ppb vs HA μ < 7.3ppb B: Ho μ <7.3ppb vs HA μ ≥ 7.3ppb C: Ho μ =8.0ppb vs HA μ < 8.0ppb D: Ho μ <8.0ppb vs HA μ ≥ 8.0ppb
- In comparing the hexokinase method with the glucose oxidase method for measuring glucose it was found that the mean and standard deviation for the hexokinase method was 120 mg/dl and 4.8 mg/dl respectively. The mean and standard deviation for the glucose oxidase method were 100 mg/dl and 4.0 mg/dl. Graphical analysis, however, seemed to indicate that there was not more variation present in the hexokinase method. Which evaluation method really exhibited the greatest variability? (A) Hexokinase method (C) Neither (B) Glucose oxidase method (D) Cannot be determined(6.15)- Refer to the data in Table 2.13. Regard this hospital as typical of Pennsylvania hospitals. A-What is the best point estimate of the percentage of males among patients discharged from Pennsylvania hospitals?B-What is the standard error of the estimate obtained in Problem A?C-Provide a 95% CI for the percentage of males among patients discharged from Pennsylvania hospitalsUnfortunately, arsenic occurs naturally in some ground water. A mean arsenic level of u = 8 parts per billion (ppb) is considered safe for agricultural use. A well in Los Banos is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 37 tests gave a sample mean of = 7.3ppb arsenic. It is known that o = 1.9 ppb for this type of data. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use the classical approach. Use a = 0.01 What is the Decision (step 5) for this problem? There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 7.3 ppb. O There is sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. There is not sufficient evidence at the 0.01 level of significance to show the mean arsenic level in the Los Banos well is less than 8.0 ppb. O There is…
- The data in NutritionStudy include information on nutrition and health habits of a sample of 315 people. One of the variables is VitaminUse, indicating whether a person takes a multivitamin pill regularly or occasionally or not at all. Use technology to test whether the data provide evidence that the proportion taking a vitamin pill regularly is different from 35 % given. Clearly state the null and alternative hypotheses. : : 42 : Pi : P2 :: 0.35 : 2 :: P1 : p2 :: :: r Ho: vs Hg: ::A hospital claims that the average length of patient confinement is 5 days. A study of the length of patient confinement of 36 people showed a mean of 6.2 and s = 5.2. Does this data support the hospital’s claim? Use α = 0.01.The price X (dollars per pound) and consumption y (in pounds per capita) of beef were samples for 10 randomly selected years. The following data should be used to answer the question that follows. n = 10 Ex = 36.19 Ix² = 134.17 2.9 < x s 6.2 Ey = 774.7 Iy² = 60739.23 Exy = 2832.21 Using this data, a student calculated SSy = 28.43 SSx = 3.2 SSy= 717. Calculate the %3D %3D value of the standard error or regression, Se , and enter you answer accurate to the nearest hundredth (2 decimal places).
- The concentration of a particular chemical in a processing plant is monitored regularly to check that it remains near the desired level of 8.25 mmol/L. Because of variability in the measure- ment system, this is checked by taking multiple samples over a short period of time and using the resulting measurements to carry out a formal statistical test. (The null hypothesis for this test is that the true mean concentration of the chemical is equal to the desired value, and you may assume that the measurements are Normally distributed.) The latest sample of eight measurements gave a sample average concentration (X) of 8.13 mmol/L and a sample standard deviation (s) of 0.16 mmol/L. Use this information and the statistical tables: Fawcett & Kent extract (Tables 1-6) to carry out the statistical test mentioned above, and report on what evidence (if any) there is to suggest that the mean concentration of the chemical has varied from the desired level.Because of high production-changeover time and costs, a director of manufacturing must convince management that a proposed manufacturing method reduces costs before the new method can be implemented. The current production method operates with a mean cost of $220 per hour. A research study will measure the cost of the new method over a sample production period. Write out the null and alternative hypotheses most appropriate for this study. Н.: НAccording to a report from the United States Environmental Protection Agency, burning one gallon of gasoline typically emits about 8.9 kg of CO2. A fuel company wants to test a new type of gasoline designed to have lower CO2 emissions. Here are their hypotheses: Ho: = 8.9 kg Ha:H< 8.9 kg (where u is the mean amount of CO2 emitted by burning one gallon of this new gasoline). Under which of the following conditions would the company commit a Type I error?