Think of a project (a significant increase in average temperatures in Texas over the last 10 years) that involves data collection. Collect (a significant increase in average temperatures in Texas over the last 10 years) the needed data, propose several hypotheses and a regression model, and perform the statistical analysis required to calibrate its model or verify/refute its hypothesis.

The long-term average October precipitation in Syracuse is 3.36 inches, with a standard deviation of 1.48 inches. Assuming a normal distribution. What is the probability that less than 1.0 inches of precipitation will occur in any October? Show your work. What is the probability that more than 5.0 inches will occur? Show your work. Draw a labeled sketch to show what area of the normal distribution curve you used to solve the problem.

For an atmospheric pressure of 101 kPa (abs) determine the heights of the fluid columns in barometers containing one of the following liquids: (a) mercury (SG = 13.55), (b) water, and (c) ethyl alcohol (SG = 0.79). Do these results support the widespread use of mercury for barometers? Why?

An Atwood's machine was used by a student to determine the acceleration of two masses, m₁=73 grams and m2=70 grams. The pulley rotates freely, and the masses were released from rest and the vertical distance traveled by the masses is 80 cm. The student conducted 5 trials to measure the time it took the masses to travel the vertical distance of 80 cm. The measured time were 3.23 s, 3.08s, 3.43s, 3.29s and 3.67s. If the mass of the pulley is 95.74 grams determine: a. The experimental value of the acceleration b. The true value of the acceleration c. the percent difference between the experimental and true values of acceleration.

Choose the pair of terms x, y that would correctly complete the sentence:“An inversion layer in the atmosphere occurs when Γ is [___x___], and this typically leads to very [___y___] conditions.” Selected Answer: a. x: positive; y: stable Answers: a. x: positive; y: stable   b. x: negative; y: stable   c. x: positive; y: unstable   d. x: negative; y: unstable

QUESTION 5 A researcher was observing traffic along one lane of a rural highway. During a 1 minute time interval, ten vehicles were observed travelling 65, 64, 71, 66, 58, 72, 69, 66, 55 and 62 mph. Estimate the density (veh/mile). Provide your answer to the nearest tenth.

Q1: Calculate the time required to empty the hemispherical tank of radius R = 2 m with a drain hole at the bottom of radius r = 19 mm as shown in figure if the tank is initially filled with water?

A baseball catcher is performing a stunt for a television commercial. He will catch a baseball (mass 145 g) dropped from a height of 80.0 m above his glove. His glove stops the ball in 0.0200 s. What is the force exerted by his glove on the ball?

For Problem 19.22 , determine the probability (assuming normal distribution) that a light bulb would have a life expectancy between 800 and 1000 hours.

PROBLEM # 2: Understanding Discrete and Continuous Random Variables in Hydrology (a) (b) (c) (d) (e) (f) List at least five examples of a discrete variable and five continuous variables. Compute the mean temperature for the following dataset. Temperature (C) 32 35 28 30 Number of days 1 5 10 5 Compute the arithmetic mean of the flow dataset as given below. Year Flow (ft³/s) Flow (ft³/s) 1939 49700 1940 5150 1941 40500 1942 49900 1943 39700 1944 47800 1945 6290 1946 1947 1948 1949 1950 1951 1952 1953 1954 1955 1956 1957 1958 12100 16000 20800 12200 40200 11000 11600 15500 27800 45100 28800 40800 1959 1960 1961 36900 8230 67000 15200 54300 23400 12300 14700 19100 18800 49100 37 2 Year 1962 1963 1964 1965 1966 1967 1968 1969 1970 1971 1972 1973 1974 1975 1976 1977 1978 1979 1980 1981 1982 1983 1984 20 23 2 5 23000 21700 12600 51800 60200 21300 29900 16100 110000 31100 68600 64200 11300 23900 112000 23600 Find the median and mode class of the flow dataset stated in part-c. Compute the…