3 A solar energy system was designed and constructed for a North Carolina textile company. The system was used to preheat boiler feedwater before injection in the process steam system. The energy delivered to the feed- water was observed for a 48-hour period. The values below represent the energy rate (kbtu/hr): 493 500 507 500 501 489 495 508 490 495 511 498 490 507 488 499 509 499 494 490 490 489 515 493 505 497 490 507 497 492 503 495 513 495 492 492 510 501 530 504 501 491 504 507 496 492 496 511 Calculate the following descriptive statistics for the observed energy rates: (a) Average. (b) Sample standard deviation. (c) Minimum and maximum. (d) Range. (e) Median. (f) Quartiles-first, second, and third. (g) SIQR. Which is a better measure of the center of these energy rates, the average or the median? Why? What interval of energy rates includes most typical values, as represented by the energy rates in this sample?

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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 u = 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 36 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that o = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use a = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: H = 16.4 ft; H,: µ > 16.4 ft O Ho: H 16.4 ft; H,: µ = 16.4 ft (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution.…

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 μ = 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 40 waves showed an average wave height of x = 16.9 feet. Previous studies of severe storms indicate that σ = 3.5 feet. Does this information suggest that the storm is (perhaps temporarily) increasing above the severe rating? Use α = 0.01. (a) What is the level of significance?State the null and alternate hypotheses. H0: μ = 16.4 ft; H1: μ < 16.4 ftH0: μ > 16.4 ft; H1: μ = 16.4 ft    H0: μ < 16.4 ft; H1: μ = 16.4 ftH0: μ = 16.4 ft; H1: μ > 16.4 ftH0: μ = 16.4 ft; H1: μ ≠ 16.4 ft…