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The SAT Reasoning Test (formerly called the Scholastic Aptitude Test) is
perhaps the most widely used standardized test for college admissions in the United States.
Scores are based on a normal distribution with a mean of 1500 and a standard deviation of 300.
Clinton College would like to offer an honors scholarship to students who score in the top 10
percent of this test. What is the minimum score that qualifies for the scholarship?
What is he probability of 1 person being small business people?
Here is the Agri-Data, mention the name of dependent and independent variables.
Part A: Prepare the line of regression Y on X.
Part B: Calculate r2 (coefficient of determination). Interpreted the byx.
District_2 Rapeseed & Mustard Rapeseed & Mustard Area
production in Metric Tones
UTTAR KASHI 437 873
CHAMOLI 193 407
RUDRA PRAYA 154 325
TEHRI GARHW 466 848
DEHRADUN 139 226
Calculate the Mean and Standard Deviation using Total MSMEs, Total Manufacturing MSMEs, and Total Service MSMEs. Write your comment if mean is affected by extreme observation.
State
District
Total MSMEs
Total Manufacturing MSMEs
Total Service MSMEs
HIMACHAL PRADESH
Chamba
755
246
509
HIMACHAL PRADESH
Kangra
2735
851
1884
HIMACHAL PRADESH
Lahul & Spiti
36
17
19
HIMACHAL PRADESH
Kullu
1229
444
785
HIMACHAL PRADESH
Mandi
1581
668
913
HIMACHAL PRADESH
Hamirpur
578
229
349
HIMACHAL PRADESH
Una
1731
717
1014
HIMACHAL PRADESH
Bilaspur
409
181
228
HIMACHAL PRADESH
Solan
4951
2848
2103
HIMACHAL PRADESH
Sirmaur
1014
563
451
HIMACHAL PRADESH
Shimla
1795
413
1382
HIMACHAL PRADESH
Kinnaur
148
42
106
Source: Data.Gov.in (MSMEs as per 2011)
1. 48, 91, 87, 93, 59, 68, 92, 100, 81
2. 93, 67, 49, 55, 92, 87, 77, 66, 73, 96, 54
3. 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4,
4. 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8, 6, 8
5. -8, -5, -12, -1, 4, 7, 11
6. -23, -17, -19, -5, -4, -11, -31
Given a realization {0.3; 0.4; 0.8; 0.1; 0.5}, compute estimates of p using
(i) the method of moments
(ii) the maximum likelihood estimation technique
the marks scored by five students in a test of statistics carrying 100 marks are 50, 60, 50, 60 and 40. A simple random sample of size 4 draws without replacement construct the sampling distribution of sample mean and find the standard error of the sample mean?
Suppose that the number of customers entering a coffee-shop in a day, follows at least
approximately a Poisson distribution with mean 60. By advertising his coffee in a local
newspaper the owner of the shop hopes to increase the number of his customers to
about 62.
(a) Write down the appropriate null and alternative hypothesis.
(b) If the number of customers on 90 randomly selected days averages to 69.4, use
the central limit theorem to test the hypothesis in part (a). Take = 0:05.
Think of something that you might want to measure that is affected by random variation. Identify what you want to measure, then describe its (approximate) sample space. Give a rough description of the probabilities associated with those values (you can simply specify if they are all the same probability or if values in one range will be more likely than values in another range). What would you say to a person who says that he or she "knows" what the outcome of an individual observation will be (an outcome of something that has not happened yet that is subject to random error)?
4. If the principal of ABC college employs 100 teachers, find the probability that
the average age of these teachers is less than 35
#331389 on Nov 2022