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A teacher conducted a study to know if blended leaming improves the students performances. A class of 25 students of Grade 11 was surveyed and found out that their mean score was 83 with a standard deviation of 3. A
study from other country revealed that = 80 with a standard deviation of 4. Test the hypothesis at 0.10 level of significance.
Light travels through an optical fiber (n=1.44) until it reaches the fiber's end and emerges into air. What is the angle of refraction outside the fiber if the angle of incidence on the end of the fiber is 25 degrees?
Light travels through an optical fiber (n=1.44) until it reaches the fiber's end and emerges into air. What is the angle of refraction outside the fiber if the angle of incidence on the end of the fiber is 25 degrees?
Examine the series for convergence for summation of ((-1)^(n-1) sin(nx))/n^3
1. in building an arena, steel bars with a mean ultimate tenslie strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed with u = 0.01.
a. What are the appropriate hypotheses for the two-tailed test?
b. What is the test statistic to be used and the reasons for its selection? G. What is the critical value c?
d. What is the value of the test statistic or the computed value?
e. Formulate a conclusion about the given situation.
1. in building an arena, steel bars with a mean ultimate tenslie strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed with u = 0.01.
a. What are the appropriate hypotheses for the two-tailed test?
b. What is the test statistic to be used and the reasons for its selection? G. What is the critical value c?
d. What is the value of the test statistic or the computed value?
e. Formulate a conclusion about the given situation.
A population of values has a normal distribution with u = 56.1 and o = 57.7. If a random sample of size n = 20 is selected,
- Find the probability that a single randomly selected value is greater than 63.8. Round your answer to four decimals
P(X > 63.8) =
-Find the probability that a sample of size n = 20 is randomly selected with a mean greater than
P(M > 63.8) =
Thermite reaction is necessary to produce molten iron. this reaction involves Fe3O4 and Al and is described by:
8 Al + 3 Fe3O4 --> 9 Fe + 4 Al2O3
If 198.5 g Al and 365.5 g Fe3O4 are used, what mass of the excess reagent remains unused at the end of the reaction?
A population of values has a normal distribution with u = 91.9 and o = 38.4. A random sample of size n = 232 is drawn.
- What is the mean of the distribution of sample means? Ux=
-What is the standard deviation of the distribution of sample means? Round your answer to two decimal places. Ox=
Speed Racer accelerates from rest at a constant rate of 6.5 m/s2. How fast will the racer be going at the end of 8 s?
