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A psychologist wanted to test the belief that eating fish makes one smarter. she took a random sample of 12 persons took them through a fish oil supplement for one year and then assessed their IQ. her results were as follows 116,111,101,120,99,94,106,115,107,101,110,92. test at 5% the hypothesis that the fish oil supplement made a significant increase in the average IQ. The average IQ is expected to be 100.
the white hot pepper is a traditional jazz band.the length in minutes of each piece of music played by the band may be modelled by a normal distribution with mean 5 and standard deviation 1.5 and may be assumed to be independent of the length of all other pieces.
find the probability that a particular piece will last between 3.5 and 7.25 minutes
find the probability that the average length of the next 6pieces to be played by the band will be less than 4 minutes.
there is an interval of exactly one minute btw the band finishing one piece and starting the next. the band starts to play its last 6pieces at 10:31pm. using your answer above state whether you think the band will still be playing at 11:00pm. justify your answer
A sample of 16 Math SAT scores for women was collected. The mean score for the sample was 463 and the sample standard deviation was 105. Find the 95% confidence interval for the population mean μ
μ. Assume the population has a normal distribution.
1. Given a normal distribution with μ = 40 and σ = 6, find
(a) the area below 32;
(b) the area above 27;
(c) the area between 42 and 51;
(d) the x value that has 45% of the area below it;
(e) the x value that has 13% of the area above it.
suppose that in a classroom of 30 students 14 are member of the matlab 10 are member of the science club and for our member of both math and science club find the probability that a student will be a member of the month club or student club or both
The average expenditure per student (based on average daily attendance) for a certain school year was $10,337 with a population standard deviation of $1560. A survey for the next school year of 150 randomly selected students resulted in a sample mean of $10,798. Do these results indicate that the average expenditure has changed? Choose your own level of significance.
The distance a basketball player runs during a game is one of the many variables used for assessing the performance of the players. 79 players are followed for a game each and the average distance ran by them is found to be 3457 meters (m) with a standard deviation of 147 m. Then the lower limit for the 95% confidence interval for the true mean is
1.Non-probability sampling is based on ______ selection from a target population
A. systematic
B. random
C. arbitrary
2. A sample frame is a useful tool to ______ a target population.
A. approximate
B. assimilate
C. assess
3.Reliability, ______ and validity are key considerations when sampling.
A. inimitability
B. uniqueness
C. replicability
Samples of size 2 are taken from the population 123456 with replacement and without replacement find the mean of the population
Directions:Solve the following real-life problems involving test of hypothesis on the population proportion.State your conclusion.
1. The principal claims that 6 of every 10 learners have access to internet and social networking sites.Upon verification,only 40 out of 70 learners have access to internet and social networking site.At 95% confidence,is the claim true?
2. The health worker claims that less than 30% of COVID-19 cases are asymptomatic.Upon looking at 100 cases,it was found out that 19 of which are asymptomatic.At 99% confidence level,is the claim true?
