ou are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it usingZ1, Z2,..., Z1500? (c) What is the chance that your randomly drawn sample is such that your sample statistic from (a)is lower than 0.015? (d) The factory passes the quality control assessment if the sample of 1500 allows you to construct an asymmetric 95% confidence interval that does not contain 0.02. Say your sample of 1500 displays contains 24 defective displays. Does the factory pass?

You are comparing the means of two unrelated samples, A dan B. You have the following information:xA = 16, s2A = 4, nA = 14xB = 14, s2B = 3, nB = 12(a) What is the degree of freedom if we assume equal variances?(b) What is the degree of freedom if we assume unequal variances?(c) What is the test statistics if we assume unequal variances and that the mean difference is equal to zero?

A researcher has run an experiment on the effects of early cognitive simulation on children and their school success at age 10 years.  He wants to compare his sample results to the normal distribution (z-distribution), but he is not sure whether the population distribution is normal or not.  He comes to you as an expert in statistics for advice.  Can he do this?  Why or why not?  What conditions must be met?

You are conducting a study to see if the proportion of voters who prefer Candidate A is significantly more than 0.16. You use a significance level of a = 0.01. Но:р — 0.16 H1:p > 0.16 You obtain a sample of size n = 621 in which there are 104 successes. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... O less than (or equal to) a greater than a This test statistic leads to a decision to... O reject the null O accept the null Ofail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O There is not sufficient evidence to warrant rejection of the claim that the proportion of voters who prefer Candidate A is more than 0.16. O The sample data support the claim that the…

-what kinds of questions can we test with a t test? -How do you know if two samples are statistically different from each other? In other words, what statistics will tell you if your results are statistically significant?

You are conducting a study to see if the proportion of men over 50 who regularly have their prostate examined is significantly different from 0.45. You use a significance level of α=0.002.      H0:p=0.45      H1:p≠0.45You obtain a sample of size n=196 in which there are 81 successes.What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... There is sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their prostate examined is different from 0.45. There is not sufficient evidence to warrant rejection of the claim that the proportion of men over 50 who regularly have their…

You are conducting a study to determine if there is a significant difference between typical salaries of surgeons and stock brokers (in thousands of dollars). Calculate the test-statistic, t with the following sample data.n1=20 x¯1=163, s1=4n2=50, x¯2=162, s2=9 Round to 2 decimal places