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- What is the minimum value for ZWhat is the minimum value of function y=(x^3) mod 2?To study the effect of alloying on the resistance of electric wires, an engineer plans to measure the resis-tance of n1 = 35 standard wires and n2 = 45 alloyed wires. If it can be assumed that σ1 = 0.004 ohm andσ2 = 0.005 ohm for such data, what can she assert with98% confidence about the maximum error if she usesx1 − x2 as an estimate of μ1 − μ2? (Hint: Use the result ofExercise 8.)
- At an early stage of clinical trials of a certain method of gender selection, 8 couples using that method gave birth to 7 boys and 1 girl. Complete parts (a) through (e) below. a. Assuming that the method has no effect and boys and girls are equally likely, use the range rule of thumb to identify the limits separating values that are significantly low and those that are significantly high (for the number of boys in 8 births). Based on the results, is the result of 7 boys significantly high? Significantly low values for the number of girls in 8 births are ___and lower. Significantly high values for the number of girls in 8 births are ___ and higher. The result of 7 girls ____ Significantly high. (round to one decimal place as needed) b. Find the probability of exactly 7 boys in 8 births, assuming that the method has no effect. (round to six decimal places as needed) c. Find the probability of 7 Or More boys In 8 births, assuming that the method has no effect. (round to six…If P=27/47 +r2 , determine the value of r for which P will be a minimum. Use the second derivativetest to show that P will indeed be a minimum for the calculated value of r.One of Mendel’s famous experiments with peas resulted in 580 offspring, and 152 of them were yellow peas. Mendel claimed that under the same conditions, 25% of offspring peas would be yellow. Assume that Mendel’s claim of 25% is true, and assume that a sample consists of 580 offspring peas. Use the range rule of thumb to identify the limits separating values that are significantly low and those that are significantly high. Based on the results, is the result of 152 yellow peas either significantly low or significantly high? Find the probability of exactly 152 yellow peas. Find the probability of 152 or more yellow peas. Which probability is relevant for determining whether 152 peas is significantly high: the probability from part (b) or part (c)? Based on the relevant probability, is the result of 152 yellow peas significantly high? What do the results suggest about Mendel’s claim of 25%?
- If the computed interval estimate for μX−μY contains positive values only then we are highly confident that the mean of X is greater than the mean of Y. TRUE or FALSEThe 98% prediction interval for the value of yy at x0=12x0=12 is betweenSuppose that you randomly selected 23 adults. Assume 20% of the population smoke. Round all answers to 2 decimal places.a) Using the Range Rule of Thumb, what is the minimum number of usual smokers we can expect to get out of 23 adults?b) Using the Range Rule of Thumb, what is the maximum number of usual smokers we can expect to get out of 23 adults?c) Would it be unusual to randomly select 23 adults and get 13 smokers? No, since 13 is between the maximum and minimum usual values. Yes, since 13 is not between the maximum and minimum usual values.
- A state wildlife service wants to estimate the mean number of days that each licensed hunter actually hunts during a given season, with a bound on the error of estimation equal to 3 hunting days. If data collected in earlier surveys have shown a to be approximately equal to 12, how many hunters must be included in the survey?: From the given experiments, identify the types of variable (Continuous,Discrete,Independent, Dependent) and write proofs to support your answers.A manufacturer producing cocacola drinks wanted to set the specification of production to achieve process capability. He set his Upper Control Limit (UCL) = 0.03, proportion of defective items as 0.02. Calculate the number of sample observations (n) to be used to ensure 99.74 of the value.