Test if β2 is equal to or greater than three at α = 1%. Interpret the answer.
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Test if β2 is equal to or greater than three at α = 1%. Interpret the answer.
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- An experiment was conducted to compare the yield of three plant genotypes. Theheight of plants was also recorded to serve as concomitant variable. True or False? Assuming that assumptions of ANCAOVA were satisfied, determine if each statement is true or falsewith regards to test of significnace of genotype effects using ANACAOVA a=0.05 Statement: The test of genotype effects was done while adjusting for the effect of height on yield.A scientist selected a random sample of seven varieties of peach ice cream to investigate the relationship between the density, in pounds per cubic inch, of the varieties of ice cream and the percent concentration of peaches in the ice cream. Assuming all conditions for inference are met, which of the following significance tests should be used to investigate whether there is convincing evidence at the 0.05 level of significance that a greater percent of peaches in the ice cream is associated with an increase in the density of the ice cream? A. A two-sample t-test for a difference between means B. A chi-square test of independence C. A linear regression t-test for slope D. A two-sample z-test for a difference between proportions E. A matched pairs t-test for a mean differenceAccording to a certain government agency for a large country, the proportion of fatal traffic accidents in the country in which the driver had a positive blood alcohol concentration (BAC) is 0.33.Suppose a random sample of 109 traffic fatalities in a certain region results in 47that involved a positive BAC. Does the sample evidence suggest that the region has a higher proportion of traffic fatalities involving a positive BAC than the country at the α=0.05 level of significance?
- According to the National Center for Health Statistics (2004), 22.4% of adults are smokers. A random sample of 300 adults is obtained. Subquestion: What would the minimum number of adults need to be in order to ensure the sampled values are independent of each other?a shareholders’ group, in lodging a protest, claimed that the mean tenure for a chief exective office (ceo) was at least nine years. a survey of companies reported in the WallStreet Journal found a sample mean tenure of x = 7.27 years for ceos with a standarddeviation of s = 6.38 years.a. formulate hypotheses that can be used to challenge the validity of the claim made bythe shareholders’ group.If 26 of 200 tires of brand A failed to last 30,000 miles,whereas the corresponding figures for 200 tires of brands B, C, and D were 23, 15, and 32, test the null hypothe-sis that there is no difference in the durability of the four kinds of tires at the 0.05 level of significance.
- An analysis was conducted by the Statistics Consulting Center atVirginia Polytechnic Institute and State University in which acertain treatment was applied to a set of tree stumps. The chemicalGarlon was used the with the purpose of regenerating the roots ofthe stumps. A spray was used with four levels of GarlonPage 23 of 23concentration. After a period of time the height of the shoots wasobserved. Does the concentration of Garlon has a significantimpact on the height of the shoots? Use α = 0.05.The owner of an apple orchard knows that the average weight of Granny Smith apples is 380 grams. A random sample of 40 apples was selected, and the mean weight was 390 grams. Let μ = the true mean weight of the Granny Smith apples in the orchard. Under the assumption that the true mean weight of Granny Smith apples is 380 grams, 100 simulated means for samples of size 40 are shown in the dotplot. Using the dotplot, is there evidence that the true mean weight of Granny Smith apples is greater than 380 grams? Yes, since a sample mean weight of 390 grams or more only occurred once in 100 simulated values, there is evidence that the true mean weight is greater than 380 grams. Yes, since a sample weight of 390 grams is greater than the mean weight of 380 grams, there is evidence to prove that the true mean weight of the apples is greater than 380 grams. No, since a sample mean weight of 390 grams is only 10 grams more than a mean weight of 380 grams, there is insufficient evidence that…A researcher is concerned that his new antihypertensive medication may be causing insomnia in some of his patients. Suppose he gathers an SRS of 65 patients treated with the study drug with a sample average of 6.6 hours of sleep and a σ=1.1. Assuming that insomnia can be quantified as an average of 4.5 hours of sleep, can we determine with 95% confidence that his drug avoids diagnosis of insomnia as a side-effect?
- A manufacturer of chocolate candies uses machines to package candies as they move along a filling line. Although the packages are labeled as 8 ounces, the company wants the pack-ages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces. A sample of 50 packages is selected periodically, and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces. Suppose that in a particular sample of 50 packages, the mean amount dispensed is 8.159 ounces, with a sample standard deviation of 0.051 ounce. Is there evidence that the population mean amount is different from 8.17 ounces? (Use a 0.05 level of significance.) Determine the p- value and interpret its meaning.An agronomist randomly selected 20 matured calamansi trees of one variety and have a mean height of 10.8ft with standard dev of 1.25ft, while another 12 randomly selected calamansi trees of another variety have a mean height of 9.6ft with standard dev of 1.45ft. Test whether the difference of 2 sample means is significant at α = 5%.To the Internal Revenue Service (IRS), the reasonableness of total itemized deductions depends on the taxpayer’s adjusted gross income. Large deductions, which include charity and medical deductions, are more reasonable for taxpayers with large adjusted gross incomes. If a taxpayer claims larger than average itemized deductions for a given level of income, the chances of an IRS audit are increased. Data (in thousands of dollars) on Adjusted Gross Income (AGI) and the Reasonable Amount of Itemized Deductions (RAID) are as follows: AGI : 22, 27, 32, 48, 65, 85, 120 RAID : 9.6, 9.6, 10.1, 11.1, 13.5, 17.7, 25.5 The correct interpretation of the meaning of each of the coefficients in the linear model is: a. When AGI is zero, the RAID is $4680 in this linear model. Since x = 0 is not included in the sample values of the independent variable, this interpretation cannot be a meaningful one. For every one thousand dollar of the AGI, the RAID increases by $161 in this linear model.…