A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000. A random sample of 51 lawyersselected from the city reveals a mean annual salary of $ 105000. Assume that o = $ 17300, and that the test is to be made at the 2%significance level.What are the critical values of z?O -1.28 and 1.28O -2.05 and 2.05O -1.645 and 1.645O -2.33 and 2.33What is the value of the test statistic, z, rounded to three decimal places?iWhat is the p-value for this hypothesis test, rounded to four decimal places?iShould you reject or fail to reject the null hypothesis in this test?

Given : Sample size (n) =51 Sample mean (X¯) = 105000 (in$) Population S.D (σ) = 17300 (in $)…

Answered: A researcher wants to test if the mean…

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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Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x=98.34, y=100.45, r=0.940, P-value=0.000, and y=−3.86+1.06x, where x represents the IQ score of the twin born second. Find the best-predicted value of y given that the twin born second has an IQ of 103? Use a significance level of 0.05.
Suppose IQ scores were obtained for 20 randomly selected sets of twins. The 20 pairs of measurements yield x= 99.11, y = 100.1, r=0.872, P-value = 0.000, and y = 7.99 +0.93x, where x represents the IQ score of the twin bom first. Find the best predicted value of y given that the twin born first has an IQ of 96? Use a significance level of 0.05. 1 Critical Values of the Pearson Correlation Coefficient r E Click the icon to view the critical values of the Pearson correlation coefficient r. The best predicted value of y is. Critical Values of the Pearson Correlation Coefficient r a = 0.01 NOTE: To test Ho: p=0 against H,: p#0, reject H, if the absolute value of r is greater than the critical value in the table. (Round to two decimal places as needed.) a = 0.05 4 0.950 0.990 0.878 0.959 0.811 0.917 0.754 0.875 0.834 0.798 0.765 0.735 0.708 8 0.707 9 0.666 10 0.632 11 0.602 0.576 0.553 12 0.684 13 0.661 0.641 0.623 0.606 14 0.532 0.514 15 16 17 0.497 0.482 0.468 0.456 0.444 0.590 0.575…
Suppose IQ scores were obtained for 20 randomly selected sets of siblings. The 20 pairs of measurements yield x = 99.37, y = 98.55, r=0.859, P-value = 0.000, and y = 10.94 +0.88x, where x represents the IQ score of the older child. Find the best predicted value of y given that the older child has an IQ of 105? Use a significance level of 0.05. 10CritPearson.pdf O A. 98.55 OB. 0.88 O C. 99.37 O D. 103.34
In a random sample of males, it was found that 29 write with their left hands and 212 do not. In a random sample of females, it was found that 70 write with their left hands and 444 do not. Use a 0.01 significance level to test the claim that the rate of left-handedness among males is less than that among females. Complete parts (a) through (c) below.
n 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 25 30 35 40 45 50 60 70 80 90 100 n x=0.05 0.950 0.878 0.811 0.754 0.707 0.666 0.632 0.602 0.576 0.553 0.532 0.514 0.497 0.482 0.468 0.456 0.444 0.396 0.361 0.335 0.312 0.294 0.279 0.254 0.236 0.220 0.207 0.196 α = 0.05 α = 0.01 0.990 0.959 0.917 0.875 0.834 0.798 0.765 0.735 0.708 0.684 0.661 0.641 0.623 0.606 0.590 0.575 0.561 0.505 0.463 0.430 0.402 0.378 0.361 0.330 0.305 0.286 0.269 0.256 α = 0.01 NOTE: To test Ho: p=0 against H₁: p0, reject Ho if the absolute value of ris greater than the critical value in the table.
In a previous poll, 38% of adults with children under the age of 18 reported that their family ate dinner together seven nights. suppose that, in a more recent poll, 399 of 1099 adults with children under the age of 18 reported that their family ate dinner together seven nights a week. is there sufficient evidence that the proportion of families with children under the age of 18 who eat diner together seven nights a week has decreased? use the a=0.05 significance level
Suppose a researcher surveyed the general public in two countries, asking the question "Do you think that we already started observing the negative impacts of global warming?". The below table summarizes the answers. Test at 5% significance level that the share of "significantly" answer is statistically significantly different in these countries. Enter your answer as the critical value calculated, with 2 digits after the decimal point after rounding the 3rd digit (e.g. 2.34567 = 2.35). Country A Country B Significantly 40 40 Neutral 50 30 Insignificantly 70 10
A survey of 835 adults revealed that 74% of them said they get between 6-7 hours of sleep each night on average. In a study of sleeping habits, researchers want to determine if less than 75% of adults get between 6-7 hours of sleep each night on average. Use a significance level of a = 0.06. %3! a is сог o lertalleu ig Ot te d c.) What is the critical value? (round to two decimal places) Z =
Consider two sets of data, X and Y, with n = 10 observations each. If the mean ranks for X and Y are 6 and 5, respectively, what is the test statistic for the Wilcoxon Signed-Ranks test on these two sets of data?
Dr. Maddan's eye drops are supposed to cause significant reduction is eye redness. The following table shows the results of a recent study where a random sample of individuals took part in a placebo controlled study. No Reduction in Redness Reduction in Redness Total Eye Drops 120 220 340 No Eye Drops Total 120 140 260 240 360 600 With 5% level of significance, determine if eye redness reduction is dependent upon taking the eye drops. Provide, a. the Chi-square statistic. b. the critical value or the p-value. c. Your decision on whether or not to reject Ho.

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