Packets of ground filter coffee have a nominal weight of 200g. The distribution of weights may be assumed to be normal with o=10g. A random sample of 30 packets had the following weights. 218 207 214 189 211 206 203 217 183 1864 219 213 207 214 203 204 195 197 213 212 188 221 217 184 186 216 198 211 216 2004 Investigate whether there is reason to believe that the average weight of all packets is greater than 200g. a) Write down the null and alternative hypothesis (H. and Holt b) What are the n,X, o? c) Compute P-value based on the sample. d) Test the hypothesis at the significance level a=0.05, i.e. reject H or H, Why? e) What conclusion can you make about the mean weight of all packets? That is what is the plain English conclusion? Data is repeated below for ease of pasting into Excel. I 21843 2073 2145 189 211 206 203 2170 183- 1862 2194 213 2072 214.5 2039 2040 1952 1972 2132 212 188 2212 2172 184 186 216 198 211 216 200