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Find the value of the finite population correction factor given the following N=3,000 and N=360

Identify the t-value whose number of samples n = 25, area = 0.01




n = 30 area = 0.005




n = 27 , area = 0.0025




n = 35 area = 0.0010




USE A SHORT BOND PAPER




n = 40 area = 0.0005




SHOW YOUR SOLUTIONS

T

he time

that

a laptop battery lasts in everyday use before recharge is needed

is normally

distributed, with a mean of 270 minutes

and

a standard deviation o

f 55 minutes.

a) What is the probability that the battery lasts

more than four hours?

b) What value of

battery

life in minutes is exceeded with 95 % probability?

c) What is the probability

that

the battery lasts exactly

300 minutes?



According to one survey in India, 75% of Instagram users love REELS. Suppose that 25 Instagram users (randomly selected) have been approached in the university located in vile parle. They have been asked about their status of like/ dislike the Instagram- REELS. a) What is the probability that Exactly 15 of them would agree with the claim (or said they love Insta-REELS)? b) What is the probability that Exactly 20 of them would agree with the claim (or said they love Insta-REELS)?


It is claimed that the average age of working students in a certain university is 35 years. A researcher selected a random sample of 49 working students. The computation of their ages resulted to an average of 32 years with a standard deviation of 10 years. Does this mean that the average age of the working students is different from 35 years? Use 0.05 level of significance and assure normality of population.


The average length of time for student to register summer classes at a certain university has been 50 minutes with a standard deviation of 10 minutes. A new registration procedure using modern computing machine is being tried. If a random sample of 12 students had a n average registration of 42 minutes with a standard deviation of 11.9 minutes under the new system, test the hypothesis that the population mean is now less than 50 minutes. (critical value is +/- 1.796)


A population consists of the elements 3, 5, 7, 8, and 10. What is the population variance?




Round off your answer to the nearest hundredths.

Solve the given problems



1. A population consists of the four numbers 1. 2. 4 and 5. List all the possible



samples of size n = 3 which can be drawn with replacement from the population



Find the following



a Population mean



b. Population variance



c. Population standard deviation



d. Mean of the sampling distribution of sample means



e. Variance of the sampling distribution of sample means



f Standard deviation of the sampling distribution of sample means

A sushi store offers 10 flavors of sushi and 3 types of sashimi. How many combinations of sushi and sashimi can a customer choose from?



5. A teacher wants to test his assumption that less than 30% of the Senior High


School students liked research class. After randomly collecting 150 samples,


he found out that only 40 students like their research class.


Claim:


Parameter


Symbol for parameter


Ho and Ha complementary pair.


Hypotheses in words:


Ho


Ha:


Hypotheses in symbols


Ho


На:

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