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# Scenario 3: Interstitial dissolved Oxygen 48 49 50 Salmonids (a group a fish that contains species of salmon and trout) lay their eggs buried under the sand and gravel in streambeds. All life stages of salmonids use oxygen dissolved in water to meet their oxygen requirements, but the concentrations of dissolved oxygen (do) that the different life stages can survive vary. The most susceptible life stage to do concentrations are the eggs. Interstitial (meaning the area between sand/gravel grains in the sediment) do concentrations are often lower than in the stream, but is a limiting factor for egg metabolic activity. That makes the interstitial do concentration an important determinant if fish wil persist in a particular stream. 151 152 The Henry's Fork Foundation is concerned about monitoring the health of salmonids in the stream, including the ability of eggs to survive. [Henry's Fork is a tributary of the Snake River in Idaho]. They are interested if the population mean do concentration in the Henry's Fork is high enough for an salmonid egg to survive. Eggs that are 20 days post-fertilization (dpf) an oxygen concentration of 7.5 mg/L or greater for metabolic activity for normal development. They randomly choose locations on the stream (by overlaying a numbered grid on a map of the stream and then using a random number generator to choose numbered grid locations) to measure the interstitial do. The data are located in dointerstitial.csv 153 154 155 156 159 3.2. Calculate the relevant summary statistics for the t-test and confidence interval. 160 161 162 163 164 Now we will want to conduct a hypothesis test. 165 166 3.3. Have the conditions been met to perform a hypothesis test? 167 168 > Insert answer, and, if needed, code chunk here 169 170 171 172 3.4. State the population of interest and the parameter of interest. 173 174 > Population of interest: insert answer here 175 > Parameter of interest: insert answer here 176 177 178 179 3.5. State the null and alternative hypotheses (verbal and symbolic). 180 181 > Insert answer here. 182 183 184 185 3.6. Execute your hypothesis test and then fill in the appropriate values below. 186 187
188 189 190 > $5/\sqrt{n} - $ 191 > $t_{statistic) = $ 192 > $p$-value $- $ 193 194 195 3.7. Interpret your p-value in the context of the question. 196 197 > Insert answer here 198 199 200 201 3.8. Calculate a 95% confidence interval for the mean interstitial do concentration, then write your interval below, using in-line code. 202 203 204 205 > Insert answer here 206 207 208 209 3.9. Interpret your confidence interval in the context of the problem. 210 211 > Insert answer here 212