Find the critical value z necessary to form a confidence interval at the level of confidence shown below. c=0.89 Zc = (Round to two decimal places as needed.)
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Q: Find the critical value z. necessary to form a confidence interval at the level of confidence shown…
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- Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, σ is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown. 040008000120001600020000010203040Salary (thousands of dollars)Frequency A histogram has a horizontal axis labeled "Salary (thousands of dollars)" from below 0 to above 20000 in increments of 2000 and a vertical axis labeled "Frequency" from 0 to 40 in increments of 10. The histogram contains vertical bars of width 2000, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the salary is listed first and the height is listed second: 0, 34; 2000, 16; 4000,…Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, σ is not known, and the histogram of 59 player salaries (in thousands of dollars) of football players on a team is as shown. 040008000120001600020000010203040Salary (thousands of dollars)Frequency A histogram has a horizontal axis labeled "Salary (thousands of dollars)" from below 0 to above 20000 in increments of 2000 and a vertical axis labeled "Frequency" from 0 to 40 in increments of 10. The histogram contains vertical bars of width 2000, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the salary is listed first and the height is listed second: 0, 34; 2000, 12; 4000,…The formula used to calculate a confidence interval for the mean of a normal population when n is small is the following. x ± (t critical value) s n What is the appropriate t critical value for each of the following confidence levels and sample sizes? (Round your answers to two decimal places.) d. 90% confidence, n = 23 e. 95% confidence, n = 13 f. 95% confidence, n = 10
- Construct the indicated confidence interval for the population mean μ using the t-distribution. Assume the population is normally distributed. c=0.98, x=14.3, s=0.83, n=17 (__), (__) (Round to one decimal place as needed.)Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 99%, σ is not known, and the histogram of 57 player salaries (in thousands of dollars) of football players on a team is as shown. 040008000120001600020000010203040Salary (thousands of dollars)Frequency A histogram has a horizontal axis labeled "Salary (thousands of dollars)" from below 0 to above 20000 in increments of 2000 and a vertical axis labeled "Frequency" from 0 to 40 in increments of 10. The histogram contains vertical bars of width 2000, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the salary is listed first and the height is listed second: 0, 35; 2000, 12; 4000,…Express the confidence interval (11.9 %, 29.5 %) in the form of p± E. % ± %