.The Springfield Water Treatment plant is constantly measuring the quality of their drinking water. The level of pH is one item that is measured by them, and the water treatment plant has a target pH of 8.2. In a recent test of 14 samples of water from the treatment plant, they found the following pH levels in their water: 8.6, 8.5, 9.1, 8.4, 8.1, 9.3, 8.8, 8.9, 9.3, 8.0, 8.7, 8.6, 8.7, 9.1 . Also assume that the pH level in the water is approximately normally distributed.  Please use R-studio for the following questions. Thank you. a.Compute the p-value of your test statistic using the “pt()” function. Interpret this value with a complete b.Use “t.test(X, alternative = “two.sided”, mu= 2)” on R to quickly verify your result from part a.

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Weatherwise is a magazine published by the American Meteorological Society. One issue gives a rating system used to classify Nor'easter storms that frequently hit New England and can cause much damage near the ocean. A severe storm has an average peak wave height of ? = 16.4 feet for waves hitting the shore. Suppose that a Nor'easter is in progress at the severe storm class rating. Peak wave heights are usually measured from land (using binoculars) off fixed cement piers. Suppose that a reading of 38 waves showed an average wave height of x = 16.7 feet. Previous studies of severe storms indicate that ? = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use ? = 0.01.   a) What is the value of the sample test statistic? (Round your answer to two decimal places.)

Radon is a gas emitted from the ground that can collect in houses in buildings. At certain levels it can cause lung cancer. Radon concentrations are measured in picocuries per liter (pCi/L). A radon level of 4 pCi/L is considered “acceptable” Radon levels in a house vary from week to week. In one house, a sample of 6 weeks had the following readings for radon level (in pCi/L):    1.9  2.8  3.9  3.9  4.2  5.7 Find the variance and standard deviation (definitional formula). Show your work using a table.

How sensitive to changes in water temperature are coral reefs? To find out, scientists examined data on sea surface temperatures and coral growth per year at locations in the Gulf of Mexico and the Caribbean Sea. Scientists examined data on mean sea surface temperatures (in degrees Celsius) and mean coral growth (in centimeters per year) over a several‑year period at locations in the Gulf of Mexico and the Caribbean. The table shows the data for the Gulf of Mexico. Sea surface temperature 26.726.7 26.626.6 26.6 26.526.5 26.326.3 26.126.1 Growth 0.850.85 0.850.85 0.790.79 0.860.86 0.890.89 0.920.92 (a) Use software to find the mean and standard deviation of both sea surface temperature ?x and growth ?y and then find the correlation ?r between ?x and ?.y. Enter your answers in the answer fields using the specific decimal place precision noted. ?¯ (rounded to four decimal places)=x¯ (rounded to four decimal places)=     ?? (rounded to four decimal places)=sx…

A researcher wanted to determine if carpeted rooms contain more bacteria than uncarpeted rooms. The table shows the results for the number of bacteria per cubic foot for both types of rooms.   Full data set      Carpeted   Uncarpeted 14.214.2 15.415.4 1616 6.46.4 6.76.7 7.97.9 9.79.7 8.38.3 7.57.5 8.38.3 12.412.4 11.911.9 9.99.9 13.613.6   9.59.5 7.67.6   Determine whether carpeted rooms have more bacteria than uncarpeted rooms at the alpha equals 0.05α=0.05 level of significance. Normal probability plots indicate that the data are approximately normal and boxplots indicate that there are no outliers. State the null and alternative hypotheses. Let population 1 be carpeted rooms and population 2 be uncarpeted rooms.     A. Upper H 0H0​: mu 1 less than mu 2μ1<μ2 Upper H 1H1​: mu 1 greater than mu 2μ1>μ2   B. Upper H 0H0​: mu 1 equals mu 2μ1=μ2 Upper H 1H1​: mu 1 greater than mu 2μ1>μ2 Your answer is…

ANSWER THE LAST 2 QUESTIONS PLEASE

question 26

2. Is the data in the frequency table below Nominal, Interval, or Ordinal level of measurement? Lunch Choices Mac 'n Cheese Sandwich Chicken Nuggets Answer: Soup Hamburger Answer: Frequency 5 8 6 2 1 3. What is the mode of the frequency table in question 2?

Beanie babies are toy stuffed animals that have become valuable collector’s items. Beanie World Magazine provided the age, retired status (R for Retired and C for Current), and value of 50 Beanie babies. The data Beanie can be downloaded from Blackboard. Answer the following questions using Minitab. a) Show the retired/current status of the 50 Beanie babies with pie chart and bar chart. b) What percentage of the age measurements actually fall into ¯x±s, ¯x±2s, and ¯x±3s. Compare your result with the empirical rule