9.16 We use formulas to describe calculations. Find the error in symbolic notation in each of the following formulas. Explain why it is incorrect and provide the correct symbolic notation.

a. z = (X - M)
σ
b. X = z(σ) - µm
c. σm = ___σ__
√N - 1
d. t = (M - μM)
σM

9.18 For the following data (1.01, 0.99, 1.12, 1.27, 0.82, 1.04), calculate the standard deviation under both of these conditions. (Note: You will have to carry some calculations out to the third decimal place to see the difference in calculations.)

a. For the sample
b. As an estimate of the population

9.20 Calculate the standard error for t for the sample used in # 9.18 using symbolic notation: 1.01, 0.99, 1.12, 1.27, 0.82, 1.04.

9.22 Calculate the t statistic for the data presented in # 9.18, assuming µ = 0.96. Again, the data is 1.01, 0.99, 1.12, 1.27, 0.82, 1.04

9.24 Calculate degrees of freedom and identify the critical t value in each of the following circumstances:
a. A two-tailed test based on 8 observations at a p level of 0.10
b. A one-tailed test based on 42 observations at a p level of 0.05
c. A two-tailed test based on 89 observations at a p level of 0.01

Statistics: Calculating Z-Scores. ... is the mean average which can be calculated by adding ... of the most statistical measures that can calculate the spread ...

... This means that you must calculate it per grouped data ... IN ITEM #2 ABOVE WERE ALL CALCULATED FROM THE ... given at the stated website for calculating the quartiles ...

... 4. For the following data, calculate the Pearson ... the regression coefficient can be calculated using the ... The expert examines elementary statistics for Null and ...

... N-1 rather than just N when calculating the standard ... It is necessary to calculate the pooled variance in ... various questions related to statistics and hypothesis ...

... By contrast, rates of change for the RPI are calculated from the published rounded indices. Personal-confidential-statistics until 9.30am on 17 June 2008. ...

... calculation of testing of hypothesis and descriptive statistics. ... since the absolute value of calculated test statistic ... that mean1=mean2 and calculate how much ...

Descriptive Statistics, Probability & Confidence Interval. 1. Calculate the mean, median and standard deviation of the following data: 10, 16, 12, 20, 18, 209 ...

... Or , calculate p value Prob-value corresponding to t = 2.258 is ... you have calculated your answer. ... ok or online) or a calculator (http://faculty.vassar.edu/lowry ...