Statistics and Probability Answers

A survey was taken among college students as to how many minutes they play a newly released online game, Genshin Impact, per day. Using UNGROUPED statistical analysis, calculate the following:

a.) Mean, Median, and Mode,

b.) Variance and Standard Deviation.
Time(Mins)
174
300
204
185
326
158
300
280
210
194
345
347
339
300
187
329
184
275
180
136

Considering the 5,800 enrollees in the College of Education, a researcher would like to make a study with 97.25% precision. How many samples must be taken?

It has been observed that the mean breaking strength of a particular brand of thread is 9.72N with a standard deviation of 1.4N. When a sample of 30 pieces is taken it showed a mean breaking strength of 8.93N. Can it be concluded that at the 5% level the thread has become inferior?

The annual salaries of employees in a large company are approximately normally distributed with a mean of $50,000 and a standard deviation of $20,000.
a) What percent of people earn less than $40,000?
b) What percent of people earn between $45,000 and $65,000?
c) What percent of people earn more than $70,000?

How many 4-letter words can be formed from the letters A,B,C,D,E,F if the first letter must\nnot be a vowel and repetition of letters is not allowed

A researcher conducted a survey amongst grocery shoppers to identify their family sizes.
A random sample of 30 grocery shoppers was asked to complete a questionnaire and
the results were as shown in the table belo

A researcher decides assess the significance of possible variation in
opening measurements of valves produced in manufacturing plant basing
on machine operator. The measurements are given below. Make an
analysis of variance of data. (Use short cut method)

Valve Opening measurement by operator

Operator 1 Operator 2 Operator 3 Operator 4
6.33 6.26 6.44 6.29
6.26 6.36 6.38 6.23
6.31 6.23 6.58 6.19
6.29 6.27 6.54 6.21
6.40 6.19 6.56
6.50 6.34
6.19 6.58
6.22

If r 12 =0.3, r 23 = 0.41, r 31 =0.18, find the partial correlation coefficient
between x 1 and x 2 keeping x 3 as constant. Find the multiple correlation
coefficient R 1.23 , R 2.13

A random sample of 900 members is found to have a mean of 4.45 cms.
Can it be reasonably regarded as a sample from a large population whose
mean is 5 cms and varaince is 4 cms

Apply the technique of ANOVA to the following data showing the yields
of 3 varieties of a crop each from 4 blocks, and test whether the mean
yields of the varieties are equal or not. Also test the equality of the block
means.
Varieties Blocks

I II III IV
A 4 8 6 8
B 5 5 7 8
C 6 7 9 5