Statistical Analysis: SAMPLES

Statistical Analysis : SAMPLES The study intends to compare whether the mean intrinsic job of the US workers in the sample is equal to value 5 .0 . In to do this , a one sample t-test can be used

For the designated hypotheses , the following are to be measured

Null Hypothesis : The mean intrinsic job satisfaction of US workers is equal to 5 .0

Alternative Hypothesis : The mean intrinsic job satisfaction of US workers is not equal to 5 .0 5

Level of Significance 0 .05

Sample Size 29

Sample Mean

5 .4

Sample Standard Deviation 0 .8 Intermediate Calculations

Standard Error of the Mean 0 .9

Degrees of Freedom 28

t Test Statistic 2 .3

p-Value 0 Since the p-value is less than the level of significance at 0 .05 , we reject the Null Hypothesis . It can also be confirmed by comparing the test statistic of 2 .66 which is larger than 2 .0484

Therefore the mean intrinsic job satisfaction of US workers is not equal to 5 The appropriate test statistics to be used is One sample t-test since there will only be one variable of interest (mean intrinsic job which will be compared to the actual estimated mean of 5 .0

The test statistics t-test and Z-test have are actually the same in terms of realizing the effects of the sample data to the designated value for comparison . Apparently , both tests compare a set of partnered means in to come up with a decision whether they come from a single population of interest . However , the t-test has some defined variations when it comes to the flexibility of the test . It can actually be useful in analysis involving the comparison of the data set to as specific known mean from another set of data with the same characteristic of interest . For example , f there is a previous data of the national average of salaries of factory workers , and then the value can be compared if it is the same with a current available data using one sample t-test . On the other hand , if the samples currently under study have some factors in common , then a paired sample t-test may be used (Gaten , 2000

On the part of the two sampled t-test , there are also two classifications of the methods . This aspect is predicted in terms of the variances . The first one needs to assume that the variances are equal while the other form makes use of the variance as unequal values

In general , z-tests can be used if the following conditions will be satisfied : the data values are independent for each other when the sample size `n ' is larger than or equal to 30 the variances of the sampled values are the same and data values were selected at random This is so because the z-test is largely influenced by assuming that the population value is normally distributed

For the t-test , the following conditions must be realized : data values are independent of each other except in the paired...