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- What is the purpose of the Intermediate Value Theorem?What value of the threshold (alpha) should be used so that the number of clicks are maximized, but a click-through-rate of 0.45 or greater is achieved.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…
- 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.A data with 18 points will be integrated as accurately as possible using a combination of Simpson's rules. It will require ____ applications of Simpson's 3/8th rule and _____ applications of Simpson's 1/3rd ruleCalculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.??
- Here is a bivariate distribution problem found in a popular textbook, what would be great is if someone can explain how to find the limits to derive CDF. attached are the problem details and steps,When performing a Mann-Whitney Utest, one should always use the higher value of the calculated U values to compare to the critical U value while making the decision rule. True FalseDoes the data need to be normally distributed for a t-test to work?
- The number of eggs that a female fly lays in her lifetime is normally distributed with a mean of 800 eggs and a standard deviation of 100 eggs. If a random sample of 15 flies is chosen, find the mean and standard eror of the mean using the Central Limit Theorem.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.)Does the function satisfy the hypotheses of the Mean Value Theorem on the given interval?