Apharmaceutical company claims that the average cold lasts an average of 8.4 days. they are using this as a basis to test new medicines designed to shorten the length of colds. a random sample of 106 people with colds, finds that on average their colds last 8.5 days. the population is normally distributed with a population standard deviation of 0.9 days. at α=0.02, what type of test is this and can you support the company’s claim using the p-value?

Let be the population mean.

Null hypothesis :

Alternative hypothesis :

Since the alternative hypothesis is left tailed, so the test is a left-tailed test.

Sample size : n=106 >30 , so we use z-test.

Test statistic:

The P-value (Left tailed test)=

Since, the p-value is greater than the significance level , so we fail to reject the null hypothesis.

Hence, we cannot support the company's claim.

introduction, methodology, results, discussion

step-by-step explanation:

an observational study is one which consists of actual observation to record data and then analyse the data.

there are a number of factors that should be analyzed before starting an observational study.

the main four factors are:

i) introduction:   this should be analysed to check whether the purpose of the study is correctly established and the data recorded are appropriate for the study

methodology:   the method of collecting the data, such as whether randomly selected, and whether sample size matches with the population to be studied, whether questions asked are easy to answer by common men, etc.

results: then results such as summary of data with comments should be studied thoroughly

discussion:   the last is the discussion, this can be either by management people or persons who are all interested , etc.

sinn is the total amount of students now and m were the students before, you subtract them both (n-m) and divide that by m. then, since to get a percentage from a fraction you have to multiply by 100, your answer should look like this: n-m/m*100

step-by-step explanation: