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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)?


Find the centroid for the region bounded by y=3−e-X, the x−axis, x=2, and the y−axis.

 


(4.6 4.5 4.7 4.6 4.5 4.6 4.3 4.6 4.8 4.2

4.6 4.5 4.7 4.5 4.5 4.6 4.6 4.6 4.8 4.6)

1. Use the ungrouped data that you have been

supplied with to complete the following:

(a) Arrange the data into equal classes

(b) Determine the frequency distribution

(c) Draw the frequency histogram

(d) Create a cumulative frequency table for

the data

(e) Draw the cumulative frequency graph

(f) Use your cumulative frequency graph to

determine if the data is normally distributed

or not?

(g) Calculate: i) the mean and standard

deviation; li) the upper and lower quartile

values; and ili) the interquartile range for the

given data.


question2:

Force (N) 0 20 40 60 80

Length (mm) 22 110 215 330 410

Use the table of measurements of length and

force that you have been supplied with to

complete the following activities:

(a) Draw a scatter graph for your given data.

Describe what the scatter graph is indicating.

(b) Use the scatter graph to estimate the

length for a force of 57N

(c) Calculate the line of regression of

extension on force (Y on X)

(d) Calculate the regression coefficient

(e) Explain what the regression coefficient

indicates?

(f) Use the equation for the line of regression

to predict the length for a force of 57N

(g) Compare the calculated value with the

value that you have determined from the

scatter graph.


1) use the data to:

(4.6 4.5 4.7 4.6 4.5 4.6 4.3 4.6 4.8 4.2

4.6 4.5 4.7 4.5 4.5 4.6 4.6 4.6 4.8 4.6 )

(a) Arrange the data into equal classes

(b) Determine the frequency distribution

(c) Draw the frequency histogram

(d) Create a cumulative frequency table for the data

(e) Draw the cumulative frequency graph

(g) Calculate: i) the mean and standard deviation; ii) the upper and lower quartile values; and iii) the interquartile range for the given data.

2. use to the data to :

(Force (N) 0 20 40 60 80

Length (mm) 22 110 215 330 410)

(a) Draw a scatter graph for your given data. Describe what the scatter graph is indicating.

(b) Use the scatter graph to estimate the length for a force of 57N

(c) Calculate the line of regression of extension on force (Y on X)

(d) Calculate the regression coefficient

(e) Explain what the regression coefficient indicates?

(f)  Use the equation for the line of regression to predict the length for a force of 57N



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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