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the Time between two arrivals in a queuing model is normally distributed with mean 2 minutes and standard deviation 0.25 minutes if random samples of size 36 are drawn what is the probability that the sample mean will be less then 2.25 minutes ?
Situation: Joe, a DOH COVID-19 tracker, found out that the number of infected persons of COVID-19 in seven low-risk provinces of the country are 1, 9, 2, 12, 8, 7, and 10. Suppose that 5 provinces are drawn as sample.
1. What is the mean (u), variance (²) and standard deviation of the population (o)? 2. How many different samples of size n-5 can be drawn from the population?
List them with their corresponding mean. 3. Construct the sampling distribution of the sample mean.
4. What is the mean () of the sampling distribution of the sample mean? Compare this to the mean of the population.
5. What is the variance of the (o,) of the sampling distribution of the sample mean?
3.1 Consider the discrete random variable ( Y ) with the following probability distribution:
P( Y =y ) 0.05( y+1) = for y = 0,1,2,3,9
3.1.1 Express the probability distribution in tabular form
3.1.2 Find the variance of 2Y + 4
3.1 Consider the discrete random variable ( Y ) with the following probability distribution:
P Y y y ( ) 0.05( 1) = = + for y = 0,1,2,3,9
3.1.1 Express the probability distribution in tabular form
3.1.2 Find the variance of 2Y + 4
Consider the discrete random variable (Y) with the following probability.P(Y=y)=0.05(y+1) for y=0,1,2,3,9
1. Find the area under the t-distribution between from t = - 2.228 to t = 2.228 when n = 11.
A. 0.95
B. 0.995
C. 0.975
D. 0.90
Let x be a random variable representing the number of tails which occur in tossing 5 coins
According to a report, 30 percent of Malaysian graduates are unemployed. An academician is curious to determine if the same pattern also exists in Kota Kinabalu. He randomly selects 320 non science graduates and 425 science graduates for the analysis.
Field of study Gender Unemployed Employe
Non- science male 54 141
female 53 72
Science male 87 165
female 43 130
a. Test if the proportion of unemployed non-science male graduates is 5 percent less than
the proportion of science male graduates at 10 percent significance level.
i. Specify the competing hypotheses of the test.
ii. Calculate the value of the relevant test statistic.
iii. Compute the p-value.
iv. At 5% significance level, does the proportion of unemployed non-science male
graduates is 5 percent less than the proportion of science male graduates?
There are 6 green bottles sitting on a wall . The probability of a green bottle accidentally falling is 0.8What is the probability that fewer than 4 of the green bottles will accidentally fall?
A manager at a supermarket claims that the average weight of loaves of bread they sell is 400g. An official from the Consumer Protection Commission takes a random sample of 50 loaves of bread and decides he will reject the claim if the sample menu is less than 390g. The sample standard deviation of the 50 loaves is found to be 25g.
a) Explain how type II error would be committed in this context.
b) Find the probability of committing a type I error.
c) Find the probability of committing a type II error if the true mean weight is 381g.
