Question 1 (. Gauge Repeatability and Reproducibility (GR&R) studies is a measure of the capability of a gauge or instrument to obtain the same measurement reading every time the measurement process is undertaken for the same characteristic or parameter. The following Table 1 shows the measurement result of part diameter (Tolerance = + 0.005mm – 0.004mm) by two appraisers (observers) through the use of an outside micrometer. Answer the following questions in order to perform a GR&R study. Refer Appendix 1 for major equations and constant factors.
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- Repeat Example 5 when microphone A receives the sound 4 seconds before microphone B.QUESTION 4 Determine whether the given percentage is a statistic or a parameter and why. In a study of all 1018 students at Guttman, data showed that 10% live in Queens. a. Parameter because the value is a numerical measurement describing a characteristic of a sample. b. Statistic because the value is a numerical measurement describing a characteristic of a sample. c. Parameter because the value is a numerical measurement describing a characteristic of a population. d. Statistic because the value is a numerical measurement describing a characteristic of a population.QUESTION 25 A clinical trial is being conducted in order to determine the efficacy of a new drug used to treat Rheumatoid arthritis. The efficacy of the medication will not only be determined by the physical improvement of symptoms but also by using a blood test to examine the concentration C-reactive protein (an inflammatory marker) in an individual’s blood. If the researcher wants a margin of error for the level of C-reactive protein to be less than or equal to 3.0 mg/dL, and if the standard deviation for C-reactive protein concentrations among arthritis patients was previously documented at 8 mg/dL, how many patients should be recruited for each group in the study assuming a 95% confidence interval will be used to quantify the mean differences between the control group and the treatment group? nfor the treatment group = 112; n for the control group = 111 nfor the treatment group = 56; n for the control group = 57 nfor the treatment group = 55; n…
- question 4 Chen et al. (2000) examined the foraging behaviour of northern elephant seals (Mirounga angustirostris) that breed along the west coast of Mexico and the USA. They attached platform satellite transmitter terminals (PTTs) to 22 male seals and recorded, for each seal, the distance (km) to its main feeding area offshore and the amount of time (days) it spent at the feeding area. The results are presented below: What two null hypotheses are being tested with the output shown above? What statistical conclusions would you draw about these hypotheses? Complete the regression equation by filling in the blanks (to the nearest 3 decimal places). duration = + * distance What is one biological interpretation of this relationship between duration and distance ? What % of the variation in duration at main feeding area was explained by distance to feeding area?Question 8In a particular river, a certain micro-organism occurs at an average rate of 10 per mililitre.A random sample of 0.5 litres of water is taken from a nearby stream and is found tocontain 3478 micro-organisms. Does this provide significant evidence, at the 5% level, ofa difference in the incidence of the micro-organisms between the stream and the river?question (9): A researcher was interested in the effect of job security on stress. The researcher recruited a random sample of 10 individuals who had job security and 10 individuals who were employed on a 1 year contract. The researcher measured the stress hormone through a saliva sample. This is an independent sample design; TRUE OR FALSE
- Question 3 The records of a state-owned company indicate that of all vehicles undergoing emissions testing during the previous year, 70% passed on the first test. A random sample of 200 cars tested in the country during the current year reveals that 62% passed the initial test. Does this data suggest that the true proportion for this country is less than the previous countrywide proportion? Test the relevant hypothesis at the 5% level of significance. (a) State the null and alternative hypotheses for the test. (b) What is the test statistic? (c) Calculate the value of the test statistic for this test. (d) Determine the critical region(s) for this test. (e) State the conclusion of this test. Give a reason for your answer.QUESTION 12 Historically, the proportion of people who trade in their old car to a car dealer when purchasing a new car is 48%. Over the previous 6 months, in a sample of 115 new-car buyers, 46 have traded in their old car. To determine (at the 10% level of significance) whether the proportion of new-car buyers that trade in their old car has statistically significantly decreased, what can you conclude concerning the null hypothesis? Reject the null hypothesis Fail to reject the null hypothesisQuestion 1 (d) A standard method for determination of the carbon monoxide (CO) level in gaseous mixtures is known from many hundreds of measurements to have a standard deviation of 0.21 ppm CO. A moderation of the method yields a value for s of 0.15 ppm CO for pooled data set with 12 degrees of freedom. A second moderation, also based on 12 degrees of freedom, has a standard deviation of 0.12 ppm CO. Is either modification significantly more precise than the original?
- Question 24: The US Department of Energy reported that 52% of homes were heated by natural gas. A random sample of 311 homes in Oregon found that 141 were heated by natural gas. Test the claim that proportion of homes in Oregon that were heated by natural gas is different than what was reported. Use a 5% significance level. Give answer to at least 4 decimal places. What are the correct hypotheses? (Select the correct symbols and use decimal values not percentages.) H0: H1: Based on the hypotheses, compute the following:Test Statistic = p-value = Based on the above we choose to The correct summary would be: that the proportion of homes in Oregon that were heated by natural gas is different than what the DOE reported value of 52%.Question 3 A humane society claims that less than 61% of households in a certain country own a pet. In a random sample of 500 households in that country, 285 say they own a pet. At α=0.05, is there enough evidence to support the society's claim? Complete parts (a) through (c) below. (a) Identify the claim and state H0 and Ha. (b) Identify the standardized test statistic first then use technology to find the P-value. (c) Decide whether to reject or fail to reject the null hypothesis and (d) interpret the decision in the context of the original claim.Question 1 The average age in a sample of 190 students at City College is 22. As a result of this sample, it can be concluded that the average age of all the students at City College Question 1 options: must be more than 22, since the population is always larger than the sample is 22 since the sample mean is an unbiased estimator of the population mean could be larger, smaller, or equal to 22 must be less than 22, since the sample is only a part of the population