Question I Step 1: Ho: u = 63 Ha : u 63

Step 2: Alpha level = .05 (.025 for left tail and .025 for right tail)

Step 3: Sampling distribution is z normal distribution

Step 4: Decision RuleI will reject the Ho if the | ZObs | value falls at or beyond the | ZCrit | of 1.96, otherwise I will fail to reject.

Step 5: Calculation\_zobs or tobs__/ = 66.7363 .46 = 3.73 .46 =8.11 = x 2.5/30= 0.46

Step 6: SummarySince the |zobs| of 8.11 falls at or beyond the | ZCrit | of 1.96, therefore we reject Ho.

Step 7: ConclusionSince rejection of Ho occurred, I conclude that there is a difference in mean height value.

Question 2 Step 1: Ho: u = 191 Ha : u 191

Step 2: Alpha level = .01 Step 3: Sampling distribution is z normal distribution

Step 4: Decision RuleI will reject the Ho if the | ZObs | value falls at or beyond the | ZCrit | of 2.576, otherwise I will fail to reject ZXC ZCrit

Step 5: Calculation\_zobs or tobs__/ = 150.9191 6.84 = 175.1 6.84 =25.60 = x 37.49/30= 6.84

Step 6: SummarySince the |zobs| of 25.6 falls at or beyond the | ZCrit | of 2.576, I therefore reject Ho.

Step 7: ConclusionSince rejection of Ho occurred, I conclude that there is a difference in mean weight value.

3. Construct appropriate confidence intervals for each problem CI for question 1 = 95% 631.960.46=62.0984 6363.9016 CI for question 2 = 99%= 191 2.5766.84= 173.38016 191208.61984 4.

What is the main determining factor that separates the use of a z-test or a t-test in any given one sample test.

When the standard deviation is unknown and must be calculated

5. Write the assumptions for a z-test. Standard deviation must be known, sample distribution must be a random sample, its underlying variable is normally distributed across population, and the null hypothesis is true

Write the assumptions for a t-test. Sample distribution is a random sample, its underlying variable is normally distributed across population, the null hypothesis is true, and the standard deviation is unknown and must be calculated.