The shear strength of each of ten test spot welds is determined, yielding the following data (psi): 389 367 378 375 400 362 358 409 380 415 Suppose we decide to examine another test spot weld. Let X = shear strength of the weld. Use the given data to obtain the mle P(X ≤ 400). [Hint: P(X ≤ 400) = ((400-μ)/o).] (Round your answer to four decimal places.)
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- The following data represent the results obtained from the specific gravity (S.G.) test performed in a soil laboratory including for sand * ?samples. Find the modeThe mean of a 12 sided die is 6.5. Let x represent the average value after rolling the die y times. How big does y need to be to make P(|x - ū| >= 1/2)The table below shows the results from the specific gravity (S.G.) test performed in a soil laboratory including twenty samples of sand. Determine the Coefficient of Quartile Variation.
- la). The null hypothesis is that the difference in the grams of sugar between ultra-processed and processed food μ = 0 (Ho: μ = 0). Write an example alternative hypothesis for the mean (µ) difference between ultra-processed foods (up) and processed foods (μ). 1b). Next, generate 1,000 samples. Let's say that you asked students in our class to calculate the difference in the amount of sugar between their ultra-processed food and processed food at home, which had a mean (u) sugar difference of 14.75 grams of sugar. Do you have evidence to reject the null hypothesis? 1c). Let's say that your sample difference in the amount of sugar between ultra-processed food and processed food at home was 4.75 grams of sugar. Do you have evidence to reject the null hypothesis? 1d). What is a 92% confidence interval for the data? Please write it using the full confidence interval interpretation language (e.g., I am 92% confident that...). le). What percent of the data lie to the left of -14.25 grams of…2. Three tensile tests were carried out on an aluminum bar. In each test, the strain was measured at the same values of stress. The results were Stress (MPa) 34.5 69.0 103.5 138.0 Strain (Test 1) 0.46 0.95 1.48 1.93 Strain (Test 2) 0.34 1.02 1.51 2.09 Strain (Test 3) 0.73 1.10 1.62 2.12 Where the units of strain are mm/m. Use linear regression to estimate the modulus of elasticity of the bar (modulus of elasticity = stress/strain). %3DFind the average temperature over the given interval
- In last week's assignment, you calculated mean free path, total absorption, and reverberation time for a room that is 4 m long, 7 m wide, and has a ceiling height of 3 m. The floor is hardwood, = .15 at 500 Hz. The walls are gypsum wallboard (GWB), = .30 at 500 Hz. The ceiling is acoustic ceiling tile (ACT), = .95 at 500 Hz. 3) f a person speaking produces a sound power level of 70 dB, how much sound pressure level would you expect at a distance of 3 m?Suppose that a customer is purchasing a car. He conducts an experiment in which he puts 10 gallons of gas in the car and drives it until it runs out of gas. He conducts this experiment 15 times on each car and records the number of miles driven. Median for Car 2 M = 250 mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Full data setO Range for Car 1 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 1 245 242 215 244 220 265 291 160 284 251 169 319 257 306 267 Range for Car 2 R=O mi / 10 gal (Type an integer or decimal rounded to one decimal place as needed.) Car 2 230 206 214 236 242 256 245 255 241 264 276 252 250 251 257A local tennis pro-shop strings tennis rackets at the tension (pounds per square inch) requested by the customer. Recently a customer made a claim that the pro-shop consistently strings rackets at K lower tensions, on average, than requested. To support this claim, the customer asked the pro shop to string 12 new rackets at 52 psi. Upon receiving the rackets, the customer measured the tension of each and calculated the following summary statistics: x=50 psi, s-3.2 psi. In order to conduct the test, the customer selected a significance level of a 0.05. Interpret this value OA. The probability of concluding that the true mean is less than 52 psi when in fact it is equal to 52 pal is only 0.05. OB. The smallest value of a that you can use and still reject His 0.05 OC. The probability of making a Type 11 error is 0.95. OD. There is a 5% chance that the sample will be biased
- From the following figure find the average value of n circumference ( cm )vs diameter 30 y = 3.3466x + 0.0319 20 10 2 5 6. 7 8 Select one: а. 3.346 b. 3.143 С. 3.14 d. 2.41 e. 0.2975 00In the 2015 AFC Championship game, there was a charge that the New England Patriots underinflated their footballs for an advantage. The Patriots' opponents during the championship game were the Indianapolis Colts. Measurements of the Colts' footballs were taken. The balls should be inflated to between 12.5 and 13.5 pounds per square inch (psi). The accompanying data consists of six of the eight measurements on the Colts' footballs. Complete parts (a) and (b) below. 12.75, 12.50, 12.15, 12.35, 12.55, 12.30 The test statistic is = (Round to two decimal places as needed.) The p-value is = (Round to three decimal places as needed.) b. Use the data to construct a 95% confidence interval for the mean psi for the Colts' footballs. How does this confidence interval support your conclusion in part (a)? The 95% confidence interval is ___ psi to ___ psi. (Round to two decimal places as needed. Use ascending order.)Q1) The relative density p of air was measured at various altitudes h. The results were below: h (km) 0.5 1.12 2.36 3.32 4.55 6.87 1 0.69 0.51 0.39 0.23 0.1 The p(h) = aebh to fit this data is: (Take 2 decimal places of accuracy) %3D