You want to use a random graph G(N, p) with N = 10³ to best approximate a Poisson random graph with average degree (k)= 1/3. Which p would you prefer to use? Select one: O a. p = 0.33333 O b. p = 0.03 O c. p = 0.000333 O d. p= 3 x 10-³
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- Respiratory Rate Researchers have found that the 95 th percentile the value at which 95% of the data are at or below for respiratory rates in breath per minute during the first 3 years of infancy are given by y=101.82411-0.0125995x+0.00013401x2 for awake infants and y=101.72858-0.0139928x+0.00017646x2 for sleeping infants, where x is the age in months. Source: Pediatrics. a. What is the domain for each function? b. For each respiratory rate, is the rate decreasing or increasing over the first 3 years of life? Hint: Is the graph of the quadratic in the exponent opening upward or downward? Where is the vertex? c. Verify your answer to part b using a graphing calculator. d. For a 1- year-old infant in the 95 th percentile, how much higher is the walking respiratory rate then the sleeping respiratory rate? e. f.Peak heart rate was determined both during a shuttle run and during a 300-yd run for a sample of n=10 individuals with Down Syndrome. The following ordered pairs reveal the shuttle run heart rate (x) and the 300 yd run heart rate (y) for each individual. (168, 184) (168, 192) (188, 200) (172, 192) (184, 188) (176, 180) (192, 182) (172, 188) (188, 196) (180, 196) At the 5% level of significance, is there sufficient evidence to support the claim that there is no significant linear relationship between the two quantities?A researcher collects data that represents the average number of hours of sleep in the last two nights by 8 depressed patients and 9 non-depressed patients. The researcher is interested in whether the two groups reliably differ in the amount of sleep they get. Use Jamovi to calculate t-obt and the p value.
- Interpret effect size t(90)=4.06, p=.001, n2= .11 Small, medium, or largeMatch the value of the corelation to the data in the scatterplot. (a) (b) (c) Ar=-0.51 vScatterplot (a) vScatterplot (b) VScatterplot (c) vScatterplot (d) B.r= 0.89 C.r = 0.99 D.r= - 0.12ACT scores range from 1 to 36 and are normally distributed where N (21.5, 5.4). SAT scores• range from 600 to 2400 and are normally distributed where N (1498, 316). Jorge scores 2090 on the SAT. If both tests measure the same thing, what score on the ACT is equivalent to Jorge's SAT score?
- Suppose that 95% of the bags of certain fertilizer mix weigh between 49 and 53 pounds. Averages of three succesive bags were plotted, and 47.5% of these were observed to lie between 51 and X pounds. Estimate the value of X. State assumptions you make and say whether these assumptions are likely to be true for this example.An alloy manufacturer is investigating if they can improve the strength of one of their alloysby producing it at a lower temperature. To investigate that, they produce the alloy at twodifferent temperatures (high and low) and then measure the breaking strength of randomsamples of specimens from each. The following table represents the strength of the randomsamples at the higher and lower temperature, in units of 0.001-inch deflection. Temp. Strength (0.001 inch)High 87 64 66 85 76 49 97 73 75 77 69 68 89 27 58 84Low 88 82 81 85 79 80 88 78 77 85 79 76 Do the results support the hypothesis that lowering the production temperature can improve thestrength of the alloy, with 95% confidence? (Hint: Don’t forget investigating variances. Use 98% confidence for that.)OSuppose that for a certain experiment P(A) = .47 and P(B) = .25 and P(An B) = .14. Find P(Au B).
- What is the P(t > -1.8) with a sample size of 10.qu(16): The flavour of juicy fruit is said to last on average 2 minutes. A consumer product reseacher wanted to find out if this is true. and hypothezise than juicy fruit would last longer due to changing sticks to pellet pieces. The reseacher tested 10 pieces and the following data was recorded 1.45 , 1.50, 1.45, 1.75, 2.15, 2.20 , 1.80 , 1.95, 2.05, 1.60 Test the hypotheses at the 5% level of using the following 5 step procedure. Step1: Set up Null hypothesis Step 2: Set up Alternative hypothesis. Step 3: Choose the level of signifance. Step 4: Compute Zobt( using the z score) Step 5: compare Zobt and Zcrt and make a decision.A researcher found that the two groups (n=25 in each group) they tested were significantly different from each other with a t-value of 2.91, which has a corresponding p-value of p=.06. For this study, report the statistics in APA format.
