(1) As the mumber of degrees of freedom increases, the t distribution gets closer and closer to the normal distribution. True False
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Q: The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year…
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- S1The weights of a certain breed of dogs follow a normal distribution with a mean of 30 pounds and a standard deviation of 5 pounds. If a random sample of 25 dogs is selected, what is the probability that their average weight is between 28 and 32 pounds? The monthly returns on a stock follow a normal distribution with a mean return of 2% and a standard deviation of 4%. What is the probability that the stock has a negative return in any given month? The lifetimes of a certain brand of lightbulb are normally distributed with a mean of 1000 hours and a standard deviation of 100 hours. What is the probability that a randomly selected lightbulb will last more than 1100 hours?For the past few month, my husband and I have been visting preschools in Camarillo for our 3-year-old daughter. The annual cost of preschool in Camarillo is assumed to be normally distributed with a mean of $7,508, and standard deviation of $2,071. Let X be the annual tuition of a random selected preschool in Camarillo. Please show the following answers to 4 decimal places. If a Camarillo preschool is randomly chosen, find the probability that its annual tuition is beyond $5,437.
- A medical research team at the university is investigating the effectiveness of a new medical treatment for a rare disease. Data indicates that under the current treatment, patients have a mean white blood cell count of 23 cells/cc (cubic centimeter). This distribution is understood to be normally distributed, but the population standard deviation is not known. The new treatment will only be deemed effective if it significantly increases the patient’s white blood cell count above 23 cells/cc. The team has applied the treatment to a random sample of 10 patients. They have reported the following blood cell counts: 21, 25, 18, 24, 19, 25, 22, 20, 27, 25 At α = .01, is the new treatment effective?It has been determined experimentally that steel wires of a certain length have strength with a mean value of 1 kip and a coefficient of variation of 16%. What is the probability that the strength of such a wire is less than 0.7 kips? Try Type I and Type III asymptotic distributions of extremes and compare the results.If XX represents a random variable coming from a normal distribution and P(X<10.2)=0.22P(X<10.2)=0.22, then P(X>10.2)=0.78P(X>10.2)=0.78. true or false
- The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that wouldstill place a student in the top5 % of UGPAs? (b) Between what two values does the middle 50 % of the UGPAs lie?Customers arrive on average every 30 minutes to The Grease Monkey, an auto repair shop with only one mechanic. The inter-arrival times are exponentially distributed. Repair times are variable with a mean of 25 minutes and a standard deviation of 20 minutes. The mechanic works on one vehicle at a time from beginning to end and takes in any waiting vehicles on a first-come first-served basis. The garage itself has room for only one vehicle at a time, so waiting vehicles are kept in the parking lot where there are always plenty of spaces available. Assume customers never balk or renege. a)What is the average number of cars in the garage (not including the parking lot)? b) How long (in minutes) do vehicles wait on average in the adjacent parking lot? c) The competitor shop across the street also has a single mechanic and an average of 3.1 vehicles waiting in its parking lot. The competitor only does oil changes, which take an average of 21 minutes. Customer inter-arrival times to the…The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 10% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? u= 3.24 lo=0.18 2.48 3.24 Grade point average (a) The minimum UGPA that would still place a student in the top 10% of UGPAS is (Round to two decimal places as needed.) (b) The middle 50% of UGPAS lies between on the low end and on the high end. (Round to two decimal places as needed.)
- Adolescents commit an average of μ = 40 errors before they complete a standard test of their verbal skills. The distribution of error scores is approximately normal with a standard deviation of σ = 8. A researcher is testing the effect of a new method of teaching that increases the verbal skills of adolescents. A typical junior high school student is selected and given the verbal skills tutorial teaching. The student then finishes the verbal skill test with a total of X = 24 errors. What is the probability that an adolescent (without the verbal skills training) would score less than or equal to X = 24 errors? (use 4 decimal places)The undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 5% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? u= 3.22 \야 0.18| 2.44 Grade point average 3.22 (a) The minimum UGPA that would still place a student in the top 5% of UGPAS is (Round to two decimal places as needed.) Video Textbook Print Clear all Check answerThe undergraduate grade point averages (UGPA) of students taking an admissions test in a recent year can be approximated by a normal distribution, as shown in the figure. (a) What is the minimum UGPA that would still place a student in the top 15% of UGPAS? (b) Between what two values does the middle 50% of the UGPAS lie? (a) The minimum UGPA that would still place a student in the top 15% of UGPAs is (Round to two decimal places as needed.). on the low end and on the high end. (b) The middle 50% of UGPAs lies between (Round to two decimal places as needed.) hp WE H 3.42 G=0.17 2.84 3.42 Grade point average Time Remaining: 00:34:06 Submit test Q Q
