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Assume that a simple random sample has been selected. Identify the null and alternative hypotheses test statistic, P-value, and state the final conclusion that addresses the original claim.
The null must be centered around one single value. The function you want is called normalcdf. You can type in something like normalcdf The two combine to have 0. The p-value is roughly 0. Comparing the p-value 0. Therefore, we fail to reject the null. We only reject the null continue reading the p-value is smaller than alpha.
It is said we "accept" the null.
I put that in quotes because we don't really accept it, rather we just don't have enough data to overturn it. Side note: The alpha level is the probability of a Type I error. To address the original claim, we have shown it to be false because mu is not less than 6.
We don't have enough statistically significant evidence to overturn the null and side with the alternative. If you were to do another random sample ofthen you might get some xbar equal to 6.