A cold medicine lists 500 milligrams of acetaminophen per fluid ounce as an active ingredient. A test of 75 one-ounce samples of the medicine finds that the mean amount of acetaminophen for the sample is 497 milligrams with a standar deviation of 20 milligrams. Test the claim that the medicine does not contain the required amount of acetaminophen. U a 0.05 significance level. State the null and alternative hypotheses. OA. Ho: μ=500 milligrams Ha: >500 milligrams C. Ho: H=500 milligrams Ha: #500 milligrams Find the z-score. Z= (Round to two decimal places as needed.) OB. Ho: μ#500 milligrams Ha: μ= 500 milligrams O D. Ho: μ= 500 milligrams Ha: μ< 500 milligrams

Assume the average amount of caffeine consumed daily by adults is normally distributed with a mean of 260 mg and a standard deviation of 48 mg. In a random sample of 600 ​adults, how many consume at least 320 mg of caffeine​ daily?

The director of research and development is testing a new drug. She wants to know if there is evidence at the 0.05 level that the drug stays in the system for more than 352 minutes. For a sample of 54 patients the mean time the drug stayed in the system was 360 minutes. Assume the population standard deviation is 25. Find the p-value of the test statistic

After the pandemic hit and people were forced to spend more time indoors, there have been a suspicion among health professionals. that people are eating more and thus gaining weight. In 2018, the average weight of 192 pounds, and health experts want to know if that average weight of the American male has gone up during this pandemic.  d. A sample of 50 American males yeilded a sample average weight of 195 pounds and a sample standard deviation of 14.5 pounds. What is your conclusion at the 5% level of significance? (be sure to state your conclusion in the context of this problem) e. Would your conclusion change if the level of significance were changed to 1%? Briefly explain.

A random sample of 50 gas stations in Cook County, Illinois, resulted in a mean price per gallon of $2.60 and a standard deviation of $0.07. State the Empirical Rule. A histogram of the data indicates that the data follow a bell-shaped distribution. Use the Empirical Rule to determine the percentage of gas stations that have prices within three standard deviations of the mean. Determine the percentage of gas stations that have prices between $2.46 and $2.74, according to the Empirical Rule. Explain your calculations. Would a gas price of $2.99 be considered unusual in the statistical sense? Why or why not?

A quick survey of peanut butter prices had standard deviation and mean of $.26 and $3.68 respectively. Compute the area for a peanut butter jar costing more than $4.25

The strength of the welds in a new manufacturing process is measured by the amount of weight needed to break the weld. The strength of the welds is normally distributed with mean 583 pounds. 30% of the welds had strength less than 500 pounds. What is the standard deviation of the strength of the welds?

The number of leaves on apple seedlings aged 2 months followed a normal distribution, the average was 12sheet with a standard deviation of 2. What is the % of plant seeds that have                                                                  a. at least 10 sheetsb. between 10 to 12 sheetsc. more than 14 sheets.

XYZ, Inc. has been manufacturing small automobiles that have averaged 50 miles per gallon ofgasoline in highway driving. The company has developed a more efficient engine for its smallcars and now advertises that its new small cars average more than 50 miles per gallon in highwaydriving. An independent testing service road-tested 36 of the automobiles. The sample showed anaverage of 51.5 miles per gallon. The population standard deviation is 6 miles per gallon. A. With a 0.025 level of significance, test to determine whether or not the manufacturer'sadvertising campaign is legitimate. B. What is the p-value associated with the sample results?

A quick survey of peanut butter prices had standard deviation and mean of $0.26 and $3.68, respectively. Compute the area for a peanut butter jar costing less than $3.50. Submit Question