University at Buffalo claims that the average wait time to meet with counseling services 15 days. A random survey of 75 students currently waiting for services revealed that the average wait time is 17.2 days with a standard deviation of 5.7 days. Conduct a hypothesis to test the state UB's claim. Calculate the p-value (rounded to at least 4 decimal places)

Government regulations restrict the amount of pollutants that can be released to the atmosphere through industrial smokestacks. To demonstrate that their smokestacks are releasing pollutants below the mandated limit of 8 parts per billion pollutants, REM Industries collects a random sample of 15 readings. The mean pollutant level for the sample is 7.65 parts per billion with a population standard deviation of 0.9 parts per billion. Do the data support the claim that the average pollutants produced by REM Industries are below the mandated level at a 0.05 significance level? Assume the population of readings is approximately normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to two decimal places.

What is the rejection region? Select the correct choice below and fill in the answer box(es) within your choice. (Round to three decimal places as needed.) O A. z O B. z > OC z< (c) Find the standardized test statistic z. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis and interpret the decision in the context of the original claim. Vthe wind speed in Region B. V the researcher's claim that the wind speed in Region A is H. There enough evidence at the 5% level of significance to

According to a government​ agency, the average workweek for an adult in February 2018 was 34.1 hours. Assume the population standard deviation for the number of hours worked per week is 4.0 hours. A random sample of 35 adults worked an average of 34.8 hours last week.

A survey found that​ women's heights are normally distributed with mean 62.9 in. and standard deviation 3.4 in. The survey also found that​ men's heights are normally distributed with mean 69.2 in. and standard deviation 3.3 in.. Consider an executive jet that seats six with a doorway height of 56.2. A. What percentage of adult men can fit through the door without​ bending?   The percentage of men who can fit without bending is enter your response here​%. ​(Round to two decimal places as​ needed.)   B Does the door design with a height of 56.2in. appear to be​ adequate? Why​ didn't the engineers design a larger​ door?

A survey found that women's heights are normally distributed with mean 63.6 in and standard deviation 2.3 in. A branch of the military requires women's heights to be between 58 in and 80 in. a. Find the percentage of women meeting the height requirement. Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? b. If this branch of the military changes the height requirements so that all women are eligible except the shortest 1% and the tallest 2%, what are the new height requirements? Click to view page 1 of the table Click to view page 2 of the table. a. The percentage of women who meet the height requirement is %. (Round to two decimal places as needed.) Are many women being denied the opportunity to join this branch of the military because they are too short or too tall? O A. Yes, because the percentage of women who meet the height requirement is fairly large. OB. No, because the percentage of women who meet the height…

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?

At EM Industries a certain machine fills 2-pound (32 ounces) boxes with cereal.  The machine’s actual fill amount for the 2-pound box is found to have an average of 31.9 ounces and standard deviation of 0.40 ounces.  If a box has at least 31.5 ounces of cereal, it considered “acceptable” by the government office of food product regulation.  If a box has more than 32.5 ounces of cereal, it is considered “over-filled” by operations managers at EM Industries.   a)  What is the probability that a randomly filled box is “acceptable”?  What is the probability that a randomly selected box is both, at the same time, “acceptable” and NOT “over-filled”?   b) To monitor the current performance of the box filling process, Mo Nerdstat, quality control manager, decides to measure 20 boxes an hour and track this average performance measure over time.  Develop 3-sigma limits for the current average process and draw the associated averages control chart.