(d) s using the shortcut method
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I need help with D
![Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard
plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article.
180.6
181.7
180.9
181.7
182.7
181.7
181.4
182.1
182.1
180.2
181.8
180.4
Compute the following. (Round your answer to two decimal places.)
(a) the sample range (in °C)
2.50
°C
(b) the sample variance s? from the definition [Hint: First subtract 180 from each observation.]
s2 = 0.58
(c) the sample standard deviation
s = 0.76
(d) s? using the shortcut method
s? =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff8536f70-6afb-49b2-94d8-7d5f9820999c%2Fe3cccc20-4682-443f-9af0-e562a6049dad%2F2kadgij_processed.png&w=3840&q=75)
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- Poly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fullybiodegradable and biocompatible, is obtained from renewableresources. From a sustainability perspective, PHB offers many attractiveproperties though it is more expensive to produce than standardplastics. The accompanying data on melting point (C) for each of 12 specimens of the polymer using a differential scanning calorimeterappeared in the article "The Melting Behaviour of Poly (3- Hydroxybutyrate) by DSC. Reproduciblety Study" (Polymer Testing, 2013:215-220). 180.5 181.7 180.9 181.6 182.6 181.6 181.3 182.1 182.1 180.3 181.7 180.5 Compute the following:a. The sample range b. The sample variance s from the definition [Hint: First subtract180 from each observation.]c. The sample standard deviationd. s using the shortcut methodPoly(3-hydroxybutyrate) (PHB), a semicrystalline polymer that is fully biodegradable and biocompatible, is obtained from renewable resources. From a sustainability perspective, PHB offers many attractive properties though it is more expensive to produce than standard plastics. The accompanying data on melting point (°C) for each of 12 specimens of the polymer using a differential scanning calorimeter appeared in an article. 180.4 181.7 180.9 181.7 182.7 181.5 181.4 182.1 182.1 180.4 181.8 180.4 Compute the following. (Round your answer to two decimal places.) b. the sample variance s2 from the definition [Hint: First subtract 180 from each observation.] c. the sample standard deviation d. s2 using the shortcut methodDr. Ingrid is conducting an experiment to see whether time spent reading is related to poor vision. To do so, she creates three groups and randomly assigns 17 participants to each: the first group reads for 30 min a day, the second group reads for 1hr a day, and the third group reads for 1.5 hrs a day. Dr. Ingrid plans on using a one-way ANOVA to analyze the results of her experiment. If Dr. Ingrid has set alpha to .01, what will be her critical value of F?
- Sony would like to test the hypothesis that the average age of a PlayStation user (mu 1) is greater than the average age of an Xbox user (mu 2). A random sample of 36 PlayStation users had an average age of 34.2 years while a random sample of 30 Xbox users had an average age of 32.7 years. Assume that the population standard deviation for the age of PlayStation and Xbox users is 3.9 and 4.0 years, respectively. Sony would like to set alpha = 0.01. The critical value is ________ and the null hypothesis should _______. Select one: a. -2.33; be rejected. b. 2.33; not be rejected. c. 1.96; be rejected. d. 1.645; not be rejected.Suppose that samples of polythene bags from two manufacturers A and B are tested by a prospective buyer for bursting pressure, with the following results: If the prices are the same, which manufacture’s bags would be preferred by the buyer? Why?A drug company maintains that a new drug G for a certain disease has a 50% cure rate as compared with drug H, which has only a 25% cure rate. You are asked to design a clinical trial comparing drugs G and H. Using the following table, estimate the number of patients needed in each therapy group to detect such a difference with alpha=0.05, two-sided, and beta=0.20.
- In which situation cointegration test can be performed? Write down its null Also, refer the given table and interpret the results?In running a regression of the retunrs of stock XYZ against the returns on the market, the Std for the returns of stock XYZ is 20% and that of the market returns is 15%. If the estimated beta is found to be 0.75 : What is the maximum possible value of beta given that the standar deivation of the returns of stock XYZ is 20% and those of the market is 15% ?What is the Degrees of Freedom and What is the t-critical value at alpha .05?
- In a study of tooth paste, 40 children used paste without fluoride resulting in a mean of 5.65 cavities with s1=1.3 . 40 children used paste with fluoride and this sample revealed mean of 4.75 cavities with s2=1.1. Do these results indicate a significant difference between two groups? Perform two-sided test at 2% SL, give all steps of procedure, interpret obtained result in terms of given example.Researchers interested in lead exposure due to car exhaust sampled the blood of 52 police officers subjected to constant inhalation of automobile exhaust fumes while working traffic enforcement in a primarily urban environment. The blood samples of these officers had an average lead concentration of 124.32 µg/l and an SD of 37.74 µg/l; a previous study of individuals from a nearby suburb, with no history of exposure, found an average blood level concentration of 35 µg/l. Write down the hypotheses that would be appropriate for testing if the police officers appear to have been exposed to a higher concentration of lead. Explicitly state and check all conditions necessary for inference on these data. Test the hypothesis that the downtown police officers have a higher lead exposure than the group in the previous study. Interpret your results in context. Based on your preceding result, without performing a calculation, would a 99% confidence interval for the average blood concentration…A research center claims that at least 2626% of adults in a certain country think that their taxes will be audited. In a random sample of 900900 adults in that country in a recent year, 2323% say they are concerned that their taxes will be audited. At alphaαequals=0.100.10, is there enough evidence to reject the center's claim? Complete parts (a) through (e) below. Identify the critical values
