Non-diabetic patients are believed to have an average fasting sugar level of 80 and standard deviation of 10. Now you wish to take mean of a sample of size 100 and check at 5% significance level, then what will be your critical values beyond which you will reject null hypothesis?
Answers
There are many applications where it is of interest to compare two independent groups with respect to their mean scores on a continuous outcome. Here we compare means between groups, but rather than generating an estimate of the difference, we will test whether the observed difference (increase, decrease or difference) is statistically significant or not. Remember, that hypothesis testing gives an assessment of statistical significance, whereas estimation gives an estimate of effect and both are important.
Here we discuss the comparison of means when the two comparison groups are independent or physically separate. The two groups might be determined by a particular attribute (e.g., sex, diagnosis of cardiovascular disease) or might be set up by the investigator (e.g., participants assigned to receive an experimental treatment or placebo). The first step in the analysis involves computing descriptive statistics on each of the two samples. Specifically, we compute the sample size, mean and standard deviation in each sample and we denote these summary statistics as follows.
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Answer:
If non-diabetic patients are believed to have average fasting sugar level 80 and std deviation 10 . Now you wishes to take mean of a sample of size 100 and check at 5% significance level, then what will be your critical values beyond which you will reject null hypothesis
80-1.96 mm to 80+1.96 mm
80-19.6 mm to to 80+1.96 mm
80-95.45 mm to 80+95.45