Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton...


Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops.<br>This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic<br>in this well is less than 8 ppb? Use a = 0.01.<br>n USE SALT<br>(a) What is the level of significance?<br>State the null and alternate hypotheses.<br>O Ho: H = 8 ppb; H,: u > 8 ppb<br>O Ho: H = 8 ppb; H,: H + 8 ppb<br>O Ho: H < 8 ppb; H,: u = 8 ppb<br>O Ho: H> 8 ppb; H,: u = 8 ppb<br>O Ho: H = 8 ppb; H,: µ < 8 ppb<br>(b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.<br>O The standard normal, since the sample size is large and a is known.<br>The Student's t, since the sample size is large and o is known.<br>O The Student's t, since the sample size is large and o is unknown.<br>O The standard normal, since the sample size is large and o is unknown.<br>What is the value of the sample test statistic? (Round your answer to three decimal places.)<br>(c) Estimate the P-value.<br>O P-value > 0.100<br>O 0.050 < P-value < 0.100<br>O 0.010 < P-value < 0.050<br>O 0.005 < P-value < 0.010<br>P-value < 0.005<br>Sketch the sampling distribution and show the area corresponding to the P-value.<br>MacBook Pro<br>esc<br>

Extracted text: Unfortunately, arsenic occurs naturally in some ground water.t A mean arsenic level of u = 8.0 parts per billion (ppb) is considered safe for agricultural use. A well in Texas is used to water cotton crops. This well is tested on a regular basis for arsenic. A random sample of 36 tests gave a sample mean of x = 6.7 ppb arsenic, with s = 3.0 ppb. Does this information indicate that the mean level of arsenic in this well is less than 8 ppb? Use a = 0.01. n USE SALT (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 8 ppb; H,: u > 8 ppb O Ho: H = 8 ppb; H,: H + 8 ppb O Ho: H < 8="" ppb;="" h,:="" u="8" ppb="" o="" ho:="" h=""> 8 ppb; H,: u = 8 ppb O Ho: H = 8 ppb; H,: µ < 8="" ppb="" (b)="" what="" sampling="" distribution="" will="" you="" use?="" explain="" the="" rationale="" for="" your="" choice="" of="" sampling="" distribution.="" o="" the="" standard="" normal,="" since="" the="" sample="" size="" is="" large="" and="" a="" is="" known.="" the="" student's="" t,="" since="" the="" sample="" size="" is="" large="" and="" o="" is="" known.="" o="" the="" student's="" t,="" since="" the="" sample="" size="" is="" large="" and="" o="" is="" unknown.="" o="" the="" standard="" normal,="" since="" the="" sample="" size="" is="" large="" and="" o="" is="" unknown.="" what="" is="" the="" value="" of="" the="" sample="" test="" statistic?="" (round="" your="" answer="" to="" three="" decimal="" places.)="" (c)="" estimate="" the="" p-value.="" o="" p-value=""> 0.100 O 0.050 < p-value="">< 0.100="" o="" 0.010="">< p-value="">< 0.050="" o="" 0.005="">< p-value="">< 0.010="" p-value="">< 0.005="" sketch="" the="" sampling="" distribution="" and="" show="" the="" area="" corresponding="" to="" the="" p-value.="" macbook="" pro="">

Jun 08, 2022
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