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A researcher wishes to determine whether the monthly salary of professional elementary teachers in private schools and elementary teachers in public schools differs. He selects a sample of elementary teachers. From each type of school calculate the means and standard deviations of their salaries. At 0.01 alpha level, can he conclude that the private school teachers does not receive the same salary with the public school teachers? Assume that the populations are approximately normally distributed.
Private
_
X1 = 16,400
S1 = 700
n1 = 15
Public
_
X2 = 15,170
S1 = 800
n2 = 9
A real estate agent compares the selling price of townhouses in two major cities in National Capital Region to see if there is a difference in price. Is there enough evidence to reject the claim that the average price of a townhouse in Quezon City is higher than Makati City? Use 0.05 alpha level.
Quezon City
_
X1 = 2,140, 000
𝒔𝟏 = 226,000
𝒏1 = 47
Makati City
_
X2 = 1,970,000
𝒔2 = 243,000
𝒏2 = 45
A researcher wishes to determine whether the monthly salary of professional elementary teachers in private schools and elementary teachers in public schools differs. He selects a sample of elementary teachers. From each type of school calculate the means and standard deviations of their salaries. At 0.01 alpha level, can he conclude that the private school teachers does not receive the same salary with the public school teachers? Assume that the populations are approximately normally distributed.
Private Public
_ _
X1 = 16,400 X2 = 15,170
S1 = 700 S1 = 800
n1 = 15 n2 = 9
A real estate agent compares the selling price of townhouses in two major cities in National Capital Region to see if there is a difference in price. Is there enough evidence to reject the claim that the average price of a townhouse in Quezon City is higher than Makati City? Use 0.05 alpha level.
Quezon City Makati City
_ _
X1 = 2,140, 000 X2 = 1,970,000
𝒔𝟏 = 226,000 𝒔2 = 243,000
𝒏1 = 47 𝒏2 = 45
On awards day at the end of the year, Jasmine has an 85% chance of winning the top award in English and a 4 out of 5 chance of winning an award for athletics. What's the probability that Jasmine wins both awards?
From the following uniformly distributed data scene calculate the probability w.r.t statement.
The weekly output of a steel mill is a uniformly distributed random variable that lies between 110 and 175 metric tons.
1. Compute the probability that the steel mill will produce more than 150 metric tons next week.
2. Determine the probability that the steel mill will produce between 120 and 160 metric tons
Calculate the probabilities for the following statements as per the given scenario and draw the probability tree diagram also (Note: This diagram can be prepared in MS-Paint or manually).
A study undertaken by the Rajan Supervisor of Elections in 2002 revealed that 44% of registered voters are âDharwadi Yuthâ, 37% are Rajmoti, and 19% are others. If two registered voters are selected at random, what is the probability that both of them have the same party affiliation?
You would be introducing a new product in your company to increase the sales because the company’s sales has been declining for the past years. Initially, you would want to find out whether such product will be the preferred product by the consumers. What technique would you use and why?
You are assigned to conduct study regarding causes of tardiness among employees on reporting to work everyday. How would you choose the respondents to realize your study and what technique would be best adopted?
You are inclined to study on the problems encountered by 5 selected family owned corporation particularly on the performance of new employees. The respondents of the study are the new employees which relatively numbering for about 600. How would you choose the samples?
#339914 on Dec 2023