The grades on a statistics mid-term for a high school are normally distributed, with μ = 81 and σ = 6.3. Calculate the z-scores in 2 decimal places for each of the following exam grades: 65 z - score = Blank 1 83 z - score = Blank 2 93 z - score = Blank 3
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The grades on a statistics mid-term for a high school are
65
z - score = Blank 1
83
z - score = Blank 2
93
z - score = Blank 3
100
z - score = Blank 4
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- Records for the last 15 years have shown that the average rainfall in a certain region of the country, for the month of March, to be 1.20 inches, with s = 0.45 inches. A second region had an average rainfall of 1.35 inches, with s = 0.54. estimate the difference of the true average rainfalls in those two regions as a 95% C.I. with the assumption of normal populations and unequal variances.A z-score of –1.6 has a corresponding Stanine score of:The weights of a bag of cement admixture produced by a company is approximately normally distributed with a mean of 9.0 kilograms and a variance of 0.64 kilogram. If measurements are recorded to the nearest tenth of a kilogram, find the proportion of these bags with weights (a) of at most 8.4 kilograms; (b) between 7.1 and 9.2 kilograms inclusive. (With continuity correction)
- A snack food manufacturer estimates that the variance of the number of grams of carbohydrates in servings of its tortilla chips is 1.23. A dietician is asked to test this claim and finds that a random sample of 24 servings has a variance of 1.27. At α=0.10, is there enough evidence to reject the manufacturer's claim? Assume the population is normally distributed. (b) Find the critical value(s). I do not know how to calculate the critical value with my calculator. I have a TI83+.In a certain city, the daily consumption of electricpower in millions of kilowatt-hours can be treated as arandom variable having a gamma distribution with α = 3and β = 2. If the power plant of this city has a daily capacity of 12 million kilowatt-hours, what is the prob-ability that this power supply will be inadequate on any given day?find the z-score that has 30.5 of the distribution's area to its left
- Find the z-score that has 1.7% of the distribution area to its left.Thomas wants to compare the mean concentration of carbon monoxide (CO) on residential versus commercial streets, since these differ in terms of car traffic. In each of three neighborhoods of Montréal (named A, B, and C below), he randomly chooses four locations for each type of street, for a total of 24 observations (2 street types x 3 neighborhoods x 4 locations). At each location, he measures CO concentration in the air over a period of 10 hours (8:00 AM-6:00 PM), and obtains the following data (in ppm/h). 10-a) Draw a graph that gives insight into the possible presence of an interaction between the two classification factors. Do you suspect the presence of an interaction? Explain why. IMG 4569 10-b)Test whether or not the difference between residential and commercial streets in mean atmospheric CO concentration is the same among the three neighborhoods, and whether or not CO concentration in the air is the same, on average, for the two types of streets. Note that Neighborhood is…Thomas wants to compare the mean concentration of carbon monoxide (CO) on residential versus commercial streets, since these differ in terms of car traffic. In each of three neighborhoods of Montréal (named A, B, and C below), he randomly chooses four locations for each type of street, for a total of 24 observations (2 street types x 3 neighborhoods x 4 locations). At each location, he measures CO concentration in the air over a period of 10 hours (8:00 AM-6:00 PM), and obtains the following data (in ppm/h). Question: Test whether or not the difference between residential and commercial streets in mean atmospheric CO concentration is the same among the three neighborhoods, and whether or not CO concentration in the air is the same, on average, for the two types of streets. Note that Neighborhood is considered a random block factor in the ANOVA. Use significant level= 0.05.
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