Complete Question
Statistics professors believe the average number of headaches per semester for all students is more than 18. From a random sample of 15 students, the professors find the mean number of headaches is 19 and the standard deviation is 1.7. Assume the population distribution of number of headaches is normal.the correct conclusion at is?
Answer:
There is no sufficient evidence to support the professor believe
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is
The sample mean is
The standard deviation is
The level of significance is
The null hypothesis is
The alternative hypothesis is
The critical value of the level of significance from the normal distribution table is
The test hypothesis is mathematically represented as
substituting values
Looking at the value of t and we can see that
so we fail to reject the null hypothesis.
This mean that there is no sufficient evidence to support the professor believe