Two catalysts may be used in a batch chemical process. 12 batches were preparedusing catalyst 1, resulting in an average yield of 86 and a sample standard deviation of3. 15 batches were prepared using catalyst 2, and they resulted in an average yield of89 with a standard deviation of 2. Assume that yield measurements are approximatelynormally distributed with the same standard deviation.• Is there evidence to support a claim that catalyst 2 produces a higher mean yieldthan catalyst 1? Use alpha 0.01.• Let the yield measurements from catalyst 1 represent population 1.Let the yield measurements from catalyst 2 represent population 2.a. What is the p-value? (Write in 4 decimal places)b. Should we reject or not reject H0?c. Is there (significant or insignificant) sample evidence to show that the mean yieldproduced by catalyst 2 is (higher or not higher) than the mean yield produced bycatalyst 1?

There are two type of statistical test, they are parametric and non parametric. Parametric test has…

Answered: Two catalysts may be used in a batch…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65−74 years: n = 116, x = 12.5, and s = 6.35. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use ? = 0.05.)State the appropriate null and alternative hypotheses. H0: ? = 15Ha: ? ≠ 15H0: ? = 15Ha: ? > 15 H0: ? = 15Ha: ? ≤ 15H0: ? = 15Ha: ? < 15 Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.) z = P-value = State the conclusion in the problem context. Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day. Do not reject…
4. The life in hours of a battery is known to be approximately normally distributed with standarddeviation σ = 1.25 hours. A random sample of 10 batteries has a mean life of x = 40.5 hours.Calculate the critical value and z-value of the sample mean. Is there evidence to support the claimthat battery life exceeds 40 hours? Use α = 0.1.
Statewide, social workers have an average annual salary of $29,000. A random sample of 159 social workers in Pocatello have an annual salary of $29,501, with a standard deviation of $977. Are the annual salaries of social workers in Pocatello significantly different from the statewide average? Please complete all five steps of the five step model, showing as much of your work as possible. (alpha = .05 and Z(critical)+-1.96).
In a lake pollution study, the concentration of lead in the upper sedimentary layer of a lake bottom is measured from 25 sediment samples. The sample mean and the standard deviation of the measurements are found to be 0.38 and 0.06, respectively. Suppose Ho : u = 0.34 H1: u# 0.34 (a) State Type I and Type Il errors. (b) Conduct a hypothesis test at 0.01 level of significance by doing the seven-step classical approach. (please show all seven steps, formulas, calculations and the curve)
A random sample of 9 size AA batteries for toys yield a mean of 3.66 hours with standard deviation, 1.05 hours. (a) Find the critical value, t, for a 99% CI. t = (b) Find the margin of error for a 99% CI.
To compare the dry braking distances from 30 to 0 miles per hour for two makes of automobiles, a safety engineer conducts braking tests for 35 models of Make A and 35 models of Make B. The mean braking distance for Make A is 43 feet. Assume the population standard deviation is 4.6 feet. The mean braking distance for Make B is 46 feet. Assume the population standard deviation is 4.5 feet. At α=0.10, can the engineer support the claim that the mean braking distances are different for the two makes of automobiles? Assume the samples are random and independent, and the populations are normally distributed. The critical value(s) is/are Find the standardized test statistic z for μ1−μ2.
A random sample of 11 size AA batteries for toys yield a mean of 2.98 hours with standard deviation, 1.19 hours. (a) Find the critical value, t?/2, for a 99% CI. ??/2 = (b) Find the margin of error for a 99% CI.
A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 24 sedans has a mean minimum time to travel a quarter mile of 15.4 seconds and a standard deviation of 2.09 seconds. At α=0.01 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below. Assume the population is normally distributed.
Assume that ρxy = .30 between weight and exercise for the population of normal adults. However, a researcher believes the relationship is stronger for children. The researcher tests a sample of 28 children and obtains an rxy = .47. Does this result support the researcher’s belief? Conduct an appropriate statistical test using an alpha level of .05.
Which cannot be classified as ordinal scale?* Satisfaction of customers as not satisfied, satisfied, very satisfied O Movie ratings Gender O Likert scale

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