Two samples of sizes 24 and 29 are independently drawn from two normal populations, where the unknown variances are assumed to be equal. The degrees of freedom for the equal- :variances t-test statistic is 51 .A O None of these .B O 58 .C O 62 .D O 60 .E O
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- What is meant by the sample space of an experiment?Vegetarianism is the practice of abstaining from the consumption of red meat, poultry, seafood, insects, and the flesh of any animal. According to the United Nations Food and Agricultural Organization, India has the lowest rate of meat consumption in the world. It is estimated that 35% of Indians are vegetarians. Suppose that in a study, 20 Indians were surveyed. --> vvtldt 15 C Lem die vegetarians. tham are vegetarians? Select --> What is the expected number of vegetarians v [Select ] 3.5 12.75 6. 7A company's quality engineer wants to check whether the average weight of the products coming out of the packaging line does not exceed 10 grams. For this, he measured the weights of the products coming out of the line by making random selection. Measurement values respectively; 8, 11,9,11,9,7,11,10,10,9. After a while ; A press machine with a newer technology has been replaced by a press machine where product losses are frequently experienced in the packaging line. and products with the same features were weighed after being processed in this new pressing machine. After the new pressing machine, the weights of the products were measured as follows; 8,8,13,17,8,12,16,14,13,15. a) Test whether the average weight of the products currently exceeds 10 grams or not, at a = 0.05 significance level, by writing the relevant hypotheses and applying all necessary steps to make a decision. Write down the decision you made as a result of the hypothesis test and interpret your decision. b)The…
- Cadmium,aheavymetal,istoxictoanimals. Mushrooms,however,areabletoabsorband accumulate cadmium at high concentrations. The Czech and Slovak governments have set a safety limit for cadmium in dry vegetables at 0.5 parts per million (ppm). M. Melgar et al. measured the cadmium levels in a random sample of the edible mushroom Boletus pinicola and published the results in a paper. Here are the data: 0.24 0.59 0.62 0.16 0.77 1.33 0.92 0.19 0.33 0.25 0.59 0.32 At the 5% significance level, do the data provide sufficient evidence to conclude that the mean cadmium level in Boletus pinicola mushrooms is greater than the government’s recommended level of 0.5 ppm? Assume that the population standard deviation of cadmium levels in Boletus pinicola mushrooms is 0.37 ppm (Note: The sum of the data is 6.31 ppm.)Following an oil spill, a particular region of the ocean is being tested for the level of a chemical called naphthalene. It is considered fact that fish from the region will be safe to eat if, and only if, the mean naphthalene level in the region is less than 3.3 parts per billion. A set of water specimens will be randomly selected from the region and tested, and if the results provide convinving evidence that the mean naphthalene level is less than 3.3, then the sale of fish from the region will be made legal. Which of the following describes a Type I error and its consequences? A) the authorities fail to obtain convincing evidence that the mean naphthalene level is less than 3.3, and do not legalize the sale of fish from the region when in fact the fish are SAFE for consumption. B) The definition of a Type I error depends on the actual results of the study in question C) The authorities fail to obtain convincing evidence that the mean naphthalene level is less than 3.3, and do not…uestion Q2. Borneo Steel Corporation produces iron rings that are supplied to ARAAB Co. Ltd. These rings are supposed to have a diameter of 60 cm. The machine that makes these rings does not produce each ring with diameter of exactly 60 cm. The diameter of each of the rings varies slightly. It is known that when the machine is working properly, the rings made on this machine have a mean diameter of 60 cm. The quality control department takes a random sample of 35 such rings every week, calculates the mean of the diameters for these rings and makes a 99% confidence interval for the population mean. If either the lower limit of this confidence interval is less than 59.938 cm or the upper limit of this confidence interval is greater than 60.063 cm, the machine is stopped and adjusted. A recent sample of 35 rings produced a mean diameter of 60.038 cm with a standard deviation of 0.15 cm. Based on this sample can you conclude that the machine needs an adjustment?
- Sample size is larger ifThe supervisor of an orange juice-bottling company is considering the purchase of a new machine to bottle 16-fluid-ounce (473-milliliter) bottles of 100% pure orange juice and wants an estimate of the difference in the mean filling weights between the new machine and the old machine. Random samples of bottles of orange juice that had been filled by both machines were obtained. Estimate the difference in the mean filling weights between the new and the old machines? Dis- cuss the assumptions. Use α = 0.10. New Machine Old MachineMean 470 milliliters 460 millilitersStandard deviation 5 milliliters 7 millilitersSample size 15 12The spike stature of the plants grown from the seeds of the porcine separates (Dactylis glomerata L) collected from the University campus and İbradı Eynif pasture are given below. In this plant, compare whether there is a difference between regions in terms of spike height. Virgo Height (cm) Data obtained from plants collected from university campus 5 6 8 7 8 6 5 5 4 6 6 Data obtained from plants collected from Eynif pasture 12 9 11 9 9 11 9 10 11 10 Note: Your results interpretation according to two different possibilities (Do it separately, assuming that it is 0.07 and 0.04).