Example 6. Calculate Semi-Inter-Quartile Range and the Co-efficient of Q.D. from the following data : Marks 0-10 10-20 20-30 30-40 40-50 50-60 60-70 70-80 80-90 No. of Students 11 18 25 28 30 33 22 15 22
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- 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.At an early stage of clinical trials of a certain method of gender selection, 8 couples using that method gave birth to 7 boys and 1 girl. Complete parts (a) through (e) below. a. Assuming that the method has no effect and boys and girls are equally likely, use the range rule of thumb to identify the limits separating values that are significantly low and those that are significantly high (for the number of boys in 8 births). Based on the results, is the result of 7 boys significantly high? Significantly low values for the number of girls in 8 births are ___and lower. Significantly high values for the number of girls in 8 births are ___ and higher. The result of 7 girls ____ Significantly high. (round to one decimal place as needed) b. Find the probability of exactly 7 boys in 8 births, assuming that the method has no effect. (round to six decimal places as needed) c. Find the probability of 7 Or More boys In 8 births, assuming that the method has no effect. (round to six…The US divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate applies to a small community of just 500 people and it’s Poisson distributed, and that x = the number of divorces in this community during the coming year, determine the following : a. E(x) b. P(x=1) c. P(x=4) d. P(x6) e. P(2x5)
- An industrial sewing machine uses ball bearings that are targeted to have a diameter of 0.75 inch. The lower and upper specification limits under which the ball bearings can operate are 0.73 inch and 0.77 inch, respectively. Past experience has indicated that the actual diameter of the ball bearings is approximately normally distributed, with a mean of 0.754 inch and a standard deviation of 0.005 inch. Type calculations and/or use Excel functions, including the explicit arguments for each function, in answering these questions. a) What proportion of the ball bearings produced meet the design requirements? b) Of 1000 bearings , how many are expected to be too large to function in the sewing machine? c) What diameter represents the 80th percentile of the bearings produced by this machine?Which of the following is a reason why fixed effect models can't estimate coefficients on variables that do not vary within unit? A, The errors will be homoscedastic. B, The de-meaned variables will not vary. C, We can estimate such a variable with fixed effects. D, Because no fixed effects exists in such a case.If a researcher wants to find out the average monthly expenses of all university students in Edmonton, this average would be an example of ________ . a. samplecross out b. statisticcross out c. populationcross out d. parameter
- What value of the threshold (alpha) should be used so that the number of clicks are maximized, but a click-through-rate of 0.45 or greater is achieved.Suppose μ1 and μ2 are true mean stopping distances at 50 mph for cars of a certain type equipped with two different types of braking systems. The data follows: m = 8, x = 114.6, s1 = 5.03, n = 8, y = 129.3, and s2 = 5.38. Calculate a 95% CI for the difference between true average stopping distances for cars equipped with system 1 and cars equipped with system 2. (Round your answers to two decimal places.) ,The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate applies to a small community of just 500 people and is Poisson distributed, and that x = the number of divorces in this community during the coming year, determine the following: a. E(x) P(x=1) c. P(x= 4) d. P(x6) e. P(2x5)
- The U.S. divorce rate has been reported as 3.6 divorces per 1000 population. Assuming that this rate applies to a small community of just 500 people and is Poisson distributed, and that x = the number of divorces in this community during the coming year, determine the following: a. E(x) b. P(x=1) c. P(x= 4) d. P(x6) e. P(2x5)If W denotes the weight (in pounds) of an individual and t denotes time (in weeks), then dW/dt is the rate of weight gain or loss (in lb/wk). Suppose that a person weighed 220 pounds 10 weeks ago, and now weighs 198 pounds. Using the Mean Value Theorem, show that their rate of rate loss must have exceeded 2 lb/wk at some point during this 10 week period.A UPS efficiency expert is interested in finding out if the years of driving experience (EXP) can be used to predict the frequency of late deliveries (LATE). Here are the data (late deliveries are per 100 ): EXP ZEXP LATE ZLATE 16 0.49 8 0.43 19 1.34 10 1.45 15 0.21 7 -0.09 15 0.21 8 0.43 14 -0.07 6 -0.60 15 0.21 8 0.43 13 -0.35 5 -1.11 12 -0.64 5 -1.11 4 -2.90 3 -2.14 15 0.21 8 0.43 16 0.49 9 0.94 17 0.78 9 0.94 MEXP = 14.25 SDEXP = 3.54 MLATE= 7.17 SDLATE = 1.95 Use α = .05 for all decisions. Determine how many late deliveries (per 100) we would predict for a driver with 20 years of experience. No explanation is required – just report the predicted value as your final answer.
