Problem 2. (1 point) Health Canada sets a standard for arsenic levels in drinking water to be no more than 10 ppb (parts per billion). You suspect that the arsenic levels in residential drinking water in your residential neighborhood are, on average, higher than the standard set by Health Canada. Let μ be the mean level of arsenic, in ppb, in the drinking water of your residential neighborhood. (a) Select the statistical hypotheses to be tested. •A.Ho:p>10 HA:1≤10 B. Ho 10 : C. Ho 10 НA μ>10 D. Ho: X10 H:X>10 ⚫ E. HoX > 10 НА: μ<10 HA : X<10 F. Ho: X 10 HAX10 = p-value separately. P-value = (e) Conducting your statistical test at α = [/reject/fail to reject] the null hypothesis. One can conclude from this sample that • ? ⚫ the amount ⚫ the mean amount 0.05, you should of arsenic in your communitys residential drinking water is • ? does exceed the standard set by Health Canada does not exceed the standard set by Health Canada (b) You take water samples from n = 14 randomly chosen resi- dences in your neighborhood, and measure the amount of arsenic in each water-sample. The data, in parts per billion, is given be- low. 10.2, 10.1, 9.9, 10.5, 9.5, 9.9, 9.9, 10, 9.6, 9.6, 9.6, 9.5, 9.6, 10 Data from the sample, are saved in the Download .csv file. Using at least four decimals in the computation of any sample statistics, compute the value of the test statistic to at least three decimal places, that you would use to test the null hypothesis in part (a). test statistic = (f) Complete the interpretation of the P-value. The P-value in (d) is the probability, • ? assuming the null hypothesis is true assuming the null hypothesis is false , that another random sample of n = 14 residences drinking water will > ? provide stronger evidence against the null hypothesis than the current s provide stronger evidence to support the null hypothesis than the curre ⚫ result in the rejection of the null hypothesis ⚫result in the null hypothesis not being rejected Answer(s) submitted: (c) In order to carry out the statistical test, a certain condition needs to hold. What is this condition? • A. The amount of arsenic varies from water sample to water sample, but the distribution is not Normal ⚫ B. The sample size is small, so the Students T distribution must be used ⚫ C. The amount of arsenic varies from water sample to wa- ter sample in accordance with the Normal distribution ⚫ no response ⚫ no response ⚫ no response ⚫ no response ⚫ no response ⚫ no response ⚫ no response ⚫ no response ⚫ no response submitted: (incorrect) recorded: (incorrect) (d) Compute the P-value. Use at least four decimals in your answer, this means you will have to use Minitab to calculate the 2