Weight 1 (x₂) Weight 2 (x₂) Weight 3 (x3) g
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- Use the linear approximation to estimate (3.02)2(3.03)2=? compare with the value given by a calculator and compute percentage error. Error = ?%A medical researcher says that less than 80% of adults in a certain country think that healthy children should be required to be vaccinated. In a random sample of 200 adults in that country, 76% think that healthy children should be required to be vaccinated. At α=0.05, is there enough evidence to support the researcher's claim? Complete parts (a) through (e) below. Let p be the population proportion of successes, where a success is an adult in the country who thinks that healthy children should be required to be vaccinated. (a) Find the critical value(s) and identify the rejection region(s). z0=______ (b) Identify the rejection region(s). (c) Find the standardized test statistic z. z=______ (d) Decide whether to reject or fail to reject the null hypothesis and (e) interpret the decision in the context of the original claim.A well-known maker of jams and jellies packages its james in jars labeled ~250 milliliters. The process used to fill the jars is known to disoense an amount of jam that is Normally distrubted variable with μ = 252 milliliters and σ= 0.9 milliliters. What proportion of jars from this filling process will contain no more than 253.5 milliliters?
- A company specializing in building robots that clean your house has found that the average amount of time kids spend cleaning their houses is about 2 hours per week with a margin error of 15 minutes. Which of the following is the correct window of time t (in minutes) we can expect the population of kids to take cleaning their rooms?which method has better accuracy simpson's 1/3 rule or simpson's 3/8 rule?explain10. A pharmacist attempts to weigh 120 mg of codeine sulfate on a balance with a sensitivity requirement of 6 mg. Calculate the maximum potential error in terms of percentage.
- A high school wishes to find out if the average THC in baseline group is less than 4.2 ng/mL at alpha=0.01. The baseline group has a sample mean = 4.16 and SD= 115. n= 1317 Please indicate the type of test to use and how to interpret it.The quality control engineer at Palmer Industries is interested in estimating the tensile strength of steel wire based on its outside diameter and the amount of molybdenum in the steel. As an experiment, she selected 25 pieces of wire, measured the outside diameters, and determined the molybdenum content. Then she measured the tensile strength of each piece. The results of the first four are recorded in the table. Tensile Strength Outside Diameter Amount of Molybdenum Place (PSI ) Y (mm) X1 (Units) X2 A 11 0.3 6 B 9 0.2 5 C 16 0.4 8 D 12 0.3 7 Using a statistical software package, the QC engineer determined the multiple regression equation to be Y’=-0.5+20X1+1X2. a) Based on the equation, what is the estimated tensile strength of a steel wire having an outside diameter of .35 mm and 6.4 units of molybdenum? b) Interpret the value of b1 in the equation.Suppose the relationship between Y and X is given by: Y = 25 - 3X + error By how much does the expected value of Y change if X decreases by 1 unit?