Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha/2} \), (b) find the critical value \( z_{\alpha/2} \), or (c) state that neither the normal distribution nor the t distribution applies.The confidence level is 90%, \( \sigma = 3914 \) thousand dollars, and the histogram of 62 player salaries (in thousands of dollars) of football players on a team is shown.**Histogram Explanation:**- **X-axis (Salary in thousands of dollars):** Ranges from 0 to 20,000.- **Y-axis (Frequency):** Measures the number of players.- The histogram shows most players earn between 0 and 4,000 thousand dollars, with decreasing frequency for salaries above this range.**Select the correct choice below and, if necessary, fill in the answer box to complete your choice:**- **A.** \( t_{\alpha/2} = \) [ ] * (Round to two decimal places as needed.)- **B.** \( z_{\alpha/2} = \) [ ] * (Round to two decimal places as needed.)- **C.** Neither the normal distribution nor the t distribution applies.

Given Information: Confidence level = 90% = 0.90 Population standard deviation = 3914 Sample size = 62 Since, the population standard deviation is known and sample size is large enough (>30) we use z distribution. Significance level α = 1-C.L=1-0.90=0.10 zα/2 is the z critical value at α2=0.102=0.05 significance level. Using a standard normal table, look up for 0.05 in the entries of the table, we find that 0.05 lies between 0.04947 and 0.05050, so we take average of their corresponding z-scores. That is, -1.64+(-1.65)2=-1.645 For two tailed, we have zα/2 critical value as: ±1.645 Therefore, required z-critical value is 1.645

Math

Statistics

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critica t/2: (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90%, o = 3914 thousand dollars, and the histogram of 62 player salaries (in thousands of c football players on a team is as shown. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2= (Round to two decimal places as needed.) В. Za/2

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critica t/2: (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90%, o = 3914 thousand dollars, and the histogram of 62 player salaries (in thousands of c football players on a team is as shown. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2= (Round to two decimal places as needed.) В. Za/2

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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