Compute the number of replicates required for a completely randomized 3×4 factorial
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- A Cohen's d score of 1.2 is considered to be: Small Negligible Medium LargeDuring a blood-donor program conducted during finals week for college students, a blood-pressure reading is taken first, revealing that out of 350 donors, 40 have hypertension. All answers to three places after the decimal. Covering the worst-case scenario, how many donors must we examine in order to be 95% confident that we have the margin of error as small as 0.01? Using a prior estimate of 15% of college-age students having hypertension, how many donors must we examine in order to be 99% confident that we have the margin of error as small as 0.01?A survey of 90 recently delivered women on the rolls of a county welfare department revealed that 27 had a history of intrapartum or postpartum infection. What is the critical value of z if we need to conclude that the population proportion with a history of intrapartum or postpartum infection is less than 0.25.
- A research center claims that 30% of adults in a certain country would travel into space on a commercial flight if they could afford it. In a random sample of 1200 adults in that country, 33% 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. Identify the P-value?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.)The critical value for t for n = 10 for a one tail test at α = 5% LOS is
- Consider a binomial experiment with n = 20 and p = 0.4. Calculate the P(X ≥ 10). Do not usenormal approximation.A polling organization has been hired to conduct a survey to determine the proportion of people who are likely to support an upcoming ballot initiative. To help determine the size of the sample required for the main poll, a preliminary poll of 20 people is taken that yields the results below. (Yes indicates that the person will support the initiative, No indicates that they won't.) YesYesNoNoNoYesYesYesYesYesYesNoNoYesYesNoYesYesNoNoYesNoYesNoYesYesYesYesYesYesNoYesYesYesNoNoYesNoNoNo Based on the results of the peliminary poll, how large a sample is required for the main poll, assuming that the main poll should have a margin of error of 3% and a confidence level of 97.8%. Sample Size =While trying to convince her friends that more than half of all sophomores live off-campus, Bren took a survey of a random sample of 129 sophomores and collected that among them 66 lived off-campus. Does this evidence support Bren's claim that more than half of all sophomores live off-campus at the 0.1 level of significance? p-value (round to four decimal places, use the cumulative table to find) = Conclusion (write R for "reject H0", and F for "fail to reject H0"):
- Suppose we want to know what proportion p of students in a largeuniversity have studied calculus in high school. At least how many studentsshould we include in a sample if we want to estimate p with an error bound of 0.03 (at most) with 95% confidence ?Consider the case where the predetermined average number of bus arrivals at the Cubao Station is 6 per 15-minute period. Find the pro of at least 4 buses arriving in a 15-minute period.The designer of a new sheet metal stamping machine claims that their new machine can turn out a certain product faster than the machine now in use. Nine independent trials of stamping the same item on each machine gave the following results on times to completion:. Standard Machine: n1 = 9, x̄1 = 35.22 seconds, s1² = 24.4375 seconds² New Machine: n2 = 9, x̄2 = 31.56 seconds, s2² = 20.0275 seconds² Given the aforementioned data, the hypotheses H0: µ1 - µ2 ≤ 0 and H1: µ1 - µ2 > 0, α = 0.05, and assuming that the both machines have the same variance, is there evidence to substantiate the designer’s claim? a. The t test statistic equals 1.65, so there is sufficient evidence to substantiate the designer’s claim. b. The z test statistic equals 1.75, so there is insufficient evidence to substantiate the designer’s claim. c. The t test statistic equals 1.75, so there is sufficient evidence to substantiate the designer’s claim. d. The t test statistic…