Listed below are the lead concentrations (in µg/g) measured in different Ayurveda medicines. Ayurveda is a traditional medical system commonly used in India. The lead concentrations listed here are from medicines manufactured in the United States. Assume that a simple random sample has been selected. Use a 0.01 significance level to test the claim that the mean lead concentration for all such medicines is less than 14.0 μg/g. 2.95 6.46 6.00 5.46 20.49 7.51 12.02 20.45 11.50 17.54 Identify the null and alternative hypotheses. Ho H H₁ H 14.0 < 14.0 (Type integers or decimals. Do not round.) Identify the test statistic. - 1.45 (Round to two decimal places as needed.) Identify the P-value. (Round to three decimal places as needed.)

A construction zone on Interstate 15 has a speed limit of 40 mph.  The speeds of vehicles passing through this construction zone are normally distributed with a mean of 44 mph and a standard deviation of 3 mph.     a. Find the percentage of vehicles who pass through this construction zone who are exceeding the posted speed limit.           b. What percentage of vehicles travel through this construction zone with speeds between 50 mph and 55 mph?

Choose the correct statistical test to use: 1. You investigated the effect of vitamin D on melanoma in males and females. After exposing the subjects to two concentrations of vitamin D or a placebo for two years, you determined how many males and females were diagnosed with melanoma. 2. You follow your vitamin D/melanoma study with an investigation into the number of sites per person the females developed. You compared the highest vitamin D concentration to the placebo. 3. Studies show that women can pole vault higher when wearing Nike running shoes than when wearing Adidas running shoes. You are an Adidas marketing agent and want to disprove this claim. You measured the height that 50 women wearing Nike shoes could vault and compared it to the height that 43 women wearing Adidas shoes could vault. 4. I have noticed that the research students in my lab prefer using the Eppendorf brand of micropipettes over the VWR brand. I need to purchase more pipettes so I want to make sure this is…

Listed below are the lead concentrations in mu g/g measured in different traditional medicines. Use a 0.05 significance level to test the claim that the mean lead concentration for all such medicines is less than 15 mu ​g/g. Assume that the sample is a simple random sample. a. Determine the test statistic. (Round to two decimal places as​ needed.)   b. Determine the​ P-value. ​(Round to three decimal places as​ needed.)