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A random sample of ten measurements were obtained from a normally
distributed population wit mean μ = 8.5. The sample values are x̄= 6.2 and s=4
a. Test the null hypothesis that the mean of the population is 8.5 against the
alternative hypothesis, μ <8.5. Use α =0.05.
A rectangle ABCD which measures 18 by 24 units is folded once, perpendicular to
diagonal AC, so that the opposite vertices A and C coincide. Find the length of the fold.
A class in advanced physics is composed of 10
juniors, 30 seniors, and 10 graduate students. The final
grades show that 3 of the juniors, 10 of the seniors, and
5 of the graduate students received an A for the course.
If a student is chosen at random from this class and is
found to have earned an A, what is the
the ratio of girls to boys in a school is 3:7. on a Monday, 1/4 of the girls were absent and 1/6 of the boys were absent. if 16 fewer learners had been absent, then 7/8 of the school would have been present. calculate the number of learners present at school that day
From a finite population consisting of digits 1, 4, 5, and 9, construct the
sampling distribution of the sample mean
a. With a sample size of 2
b. With a sample size of 3
a math 7 module has 12 pages with the following numbers of words 301,298,314,327,296,287,271,326,316,333,354 and 285.what is the standard number of words per pages
A psychologist has measured the IQ for a group of 30 children, now in the third grade, who had been regularly exposed to a new interactive, computerized teaching device. The mean IQ for these children is X = 106.
a. Test the null hypothesis that these children are no different from the general population of third-graders (μ = 100, σ = 6) using alpha = .05.
I.) Identify if the following statements are predicate logic. Give a domain of discourse for each propositional function.
- The movie won the Academy Award for the past 2 years.
- 1 + 3 = 4
- (x+2)2 is a prime number.
- man is mortal
- not all people are dishonest.
II.) Convert the given argument into four type of nested quantifier.
"Every Math Teacher is like by some students"
(note: you may take different types of approach in your sentences but the thought of the quantifiers must still be there)
the mean monthly Internet bill is $32.79 per household. A sample of 50 households in the Belize District showed a sample mean of $30.63. Use a population standard deviation $5.60.
What is the value of the test statistic?
c) What is the p-value?
d) At α = .05, what is your conclusion?
Q.4) If an object starts out at rest and falls a distance of s feet in t seconds, then physical laws imply that s = 16t². Find ∆s/∆t as t changes from t0 to t0 + ∆t.
Use the result to find ∆s/∆t as t changes from:
(a) 3 to 3.5, (b) 3 to 3.2, and (c) 3 to 3.1
#339914 on Dec 2023