We do not do your homework for you. Although it might take more effort to do the work on your own, you will profit more from your effort. We will be happy to evaluate your work though.
However, I will start you out.
95% = mean ± Z(SEm)
SEm = SD/√n
Find table in the back of your statistics text labeled something like "areas under normal distribution" to find the proportion/probability (±.475) and its Z score.
One of your friends knows that you are taking Advanced Placement Statistics and asks for your help wither Chemistry lab report. She has come up with five measurements of the melting point of a compound: 122.4, 121.8, 122.0, 123.0, and 122.3 degrees Celsius.
a. The lab manual asks for a 95% confidence interval estimate for the melting point. Show her how to find this estimate.
b. Explain to your friend in simple language what 95% confidence interval means.
c. Would a 90% confidence interval be narrower or wider than the 95% interval. Explain your answer to your friend.
d. The lab manual asks whether the data show sufficient evidence to call into question the established melting point of 122 degrees Celsius. State the null and alternative hypotheses and find the P-value.
e. Explain the meaning of the specific P-value to your friend.
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