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- (13) Please show supporting work for a through dSuppose that we have two attributes, gender and programs and, we observe the values of bothvariables through a random sample as given below: a. selected student is male or from the Computing Engineering b. selected student is female given that she is from Electronics and Instrumentation c. selected student is not from the Computing Engineering T =28Identify whether the given is a discrete or continuous variable. 1.The temperature of a cup of coffee served at Starbucks. 2.The number of new cases of covid-19 cases in Cebu City.
- 3. Is the following variable discrete or continuous: The number of questions asked during a 1-hour review session.5. Find the area of a parallelogram bounded by the y-axis, the line x = 3, the line f (x) = 1 + 2x, and the line parallel to f (x) passing through (2, 7).A research center claims that 28% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 800 adults in that country, 30% say that they would travel into space on a commercial flight if they could afford it. At α=0.10, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below.
- Let X be the amount of soda released by a soft-drink dispending machine into a 6-ounce cup. Assume that X is normally distrubuted with o = .25 ounces and that the average "fill" can be set by the vendor. (1) At what quantity should the average "fill" be set so that no more than .5% of the releases overflow the cup? (2) Using the average "fill" found in part (a), determine the minimal amount that will be dispensed in 99% of the cases.Can you provide any explanation for these results? For THE 3 TABS BELOW: Tab 1, Tab 2 & Tab 3 TAB 1. Year Age of Miss America Murder by steam, hot vapors and hot objects Dev(x) Dev(y) CP 1999 24 7 1.9 2.5 4.69 2000 24 7 1.9 2.5 4.69 2001 24 7 1.9 2.5 4.69 2002 21 3 -1.1 -1.5 1.69 2003 22 4 -0.1 -0.5 0.05 2004 21 3 -1.1 -1.5 1.69 2005 24 8 1.9 3.5 6.60 2006 22 4 -0.1 -0.5 0.05 2007 20 2 -2.1 -2.5 5.32 2008 19 3 -3.1 -1.5 4.78 2009 22 2 -0.1 -2.5 0.23 Mean 22.1 5 Sum 34.45 Standard Deviation 1.75810 2.25227 Covariance 3.45 Correlation Coefficient 0.87013 0.87013 TAB 2 Year Letter in Winning World of Scripps National Spelling Bee Number of people Killed by venomous spider Dev(x) Dev(y) CP 1999 9 6 -1.0 -1.4 1.36 2000 8 5…A research center claims that 26% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1000 adults in that country, 29% say that they would travel into space on a commercial flight if they could afford it. At α=0.05, is there enough evidence to reject the research center's claim? Complete parts (a) through (d) below. (a) Identify the claim and state H0 and Ha. "Recall that the claim is the percentage of adults in the country would travel into space on a commercial flight if they could afford it. Let a success be an adult in the country who would travel into space on a commercial flight if they could afford it. Translate the claim made about the population parameter from a verbal statement to a mathematical statement." (b) 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.
- Suppose that approximately 40% of the population has Type O+ blood. You take a sample of 5 persons. Let Y denote the number of persons in the sample with Type O+ blood. Find each of the following. (a) Pr{Y = 2} = (b) Pr{Y < 2} = (c) Pr{Y ≥ 2} =The old drug treatment for a specific type of cancer produced a five year survival rate of 15 to 1,000. In a sample of a new drug, the survival rate is 45 per 1,000. Has there been an increase in the overall survival rate with new drug? The null and alternative hypotheses are: H subscript 0 colon space M equals 15 space a n d space H subscript 1 colon space M equals 45 H subscript 0 colon space M equals 45 space a n d space H subscript 1 colon space M equals 15 H subscript 0 colon space M equals 15 space a n d space H subscript 1 colon space M greater than 15 H subscript 0 colon space M less than 15 space space a n d space H subscript 1 colon space M equals 45 space H subscript 0 colon space M less than 15 space space a n d space H subscript 1 colon space M element of 15 spaceThe following data was obtained when the stopping distance d of a car on a wet roadwas measured as a function of the speed v when the brakes were applied: X 2 3 5 6 7 8 F(x) 3 18 38 289 300 450 Table 11- Use Natural Cubic Spline interpolation with the data presented in table 1