Question

the days taken in recovery in COVID patients is as follows

in BC the mean is 14 days in a sample of 40 patients, and population standard deviation of 1.2

in ONTARIO,the mean is 16 days in a sample of 42 patients and population standard deviation of 1

Test the the hypothesis that mean of these samples are significantly different using critical value approach

a = 0.05

show all steps

Answer 1

given data are:-

BC is denoted as sample 1 and ONTARIO is denoted as sample 2.

hypothesis:-

test statistic be:-

z critical value for 95% confidence level, both tailed test be:-

rejection rule:-

reject the null hypothesis if ,

decision:-

so, we reject the null hypothesis.

conclusion:-

there is sufficient evidence to conclude that mean of these samples are significantly different at 0.05 level of significance.

***in case of doubt, comment below. And if u liked the solution, please like.