<p> ISDS 361B Review From ISDS 361A</p><p>1. Normal Distribution by Excel NORMDIST (x, µ, σ, TRUE) gives ______</p><p>NORMSDIST(z) gives ______</p><p>NORMINV(p, µ, σ) gives ______</p><p>NORMSINV(p) gives ______</p><p>2. Confidence Intervals and Hypothesis Tests for µ NECESSARY CONDITION</p><p>Either (1) ______OR (2) ______</p><p>3. Confidence Intervals and Hypothesis Tests for µ -- When to use z and when to use t</p><p>If the necessary condition holds, then,</p><p>Use z if ______Standard Error = ______</p><p>Use t if ______Standard Error = ______</p><p>4. Confidence Intervals for µ</p><p>General Form: ______</p><p>Sampling from normal or large n and σ known: ______</p><p>Excel: = ______</p><p>Sampling from normal or large n and σ unknown: </p><p>Excel: = ______5. Hypothesis Tests for µ</p><p> Meaning of α: ______</p><p> Meaning of p-value: ______</p><p>6. Rejection Region Approach</p><p>σ Known</p><p>Calculate z = ______</p><p>Cases: H1: µ > µ0 Reject H0 (Accept H1) if z ______</p><p>H1: µ < µ0 Reject H0 (Accept H1) if z ______</p><p>H1: µ ≠ µ0 Reject H0 (Accept H1) if z ______or if z ______</p><p>σ Unknown</p><p>Calculate t = ______</p><p>Cases: Degrees of Freedom = n-1</p><p>H1: µ > µ0 Reject H0 (Accept H1) if t ______</p><p>H1: µ < µ0 Reject H0 (Accept H1) if t ______</p><p>H1: µ ≠ µ0 Reject H0 (Accept H1) if t ______or if t ______7. p-Value Approach Reject H0 (Accept H1) if p is low (< α)</p><p>σ Known</p><p>Calculate z = ______</p><p>Cases: H1: µ > µ0 p = ______EXCEL: ______</p><p>H1: µ < µ0 p = ______EXCEL: ______</p><p>H1: µ ≠ µ0 If z > 0: p = ______EXCEL: ______</p><p>If z < 0; p = ______EXCEL: ______</p><p>σ Unknown</p><p>Calculate t = ______</p><p>EXCEL: DATA ANALYSIS/DESCRIPTIVE STATISTICS. Then,</p><p> t = ______</p><p>Cases: Degrees of Freedom = n-1 </p><p>H1: µ > µ0 p = ______EXCEL: (Assumes t > 0) ______</p><p>H1: µ < µ0 p = ______EXCEL: (Assumes t < 0) ______</p><p>H1: µ ≠ µ0 If t > 0: p = ______EXCEL: ______</p><p>If t < 0: p = ______EXCEL: ______Sample Questions:</p><p>1. Can you conclude that the average electric bill for residential customers in Mission Viejo in July > $150?</p><p>2. Give a 99% confidence interval for average amount spent by teenagers in Orange County each month on CD's.</p><p>3. Last year the average driving time from Fullerton to Mission Viejo was 40 minutes with a standard deviation of 6 minutes. Assuming that the standard deviation has not changed, can you conclude the average driving time has changed from last year?</p><p>4. Can you conclude that the average time spent waiting in the drive-thru line at the Jack-In-The-Box on the corner of Avery and the 5 Freeway is less than 3 minutes?</p><p>5. Assuming that the standard deviation is 9 yards, give a 95% confidence interval for the average distance Tiger Woods drives a golf ball.</p><p>6. Assuming a standard deviation of $.06 per gallon, can you conclude that the average price for regular unleaded gasoline in Orange County on January 20 was greater than $3.30?</p>