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The local coffee shop keeps track of how much coffee they sell versus the temperature on that day, here are their figures:


Sales in Php

1731

1840

1427

1262

1444

1100


Temp in Celsius

21.4

22.9

24.1

26.1

29

31.1


Suppose you want to create a regression equation that will predict the total sales in Php using the temperature of the day in Celcius, what is the value of b? Round your answers to the nearest hundredths.


The local coffee shop keeps track of how much coffee ice cream they sell versus the temperature on that day, here are their figures:


Sales in Php

1690

1786

1391

1555

1111

1423


Temp in Celsius

21.1

24

25.4

26.9

29.6

30.3


Suppose you want to create a regression equation that will predict the total sales in Php using the temperature of the day in Celcius, what is the value of a? Round your answers to the nearest hundredths.


The local coffee shop keeps track of how much coffee they sell versus the temperature on that day, here are their figures:


Sales in Php

1796

1657

1435

1573

1476

1403


Temp in Celsius

21.2

22.7

24.2

26.6

29.5

30.9


Suppose you want to create a regression equation that will predict the total sales in Php using the temperature of the day in Celcius, what is the total sales for the day in Php if the temperature is 29.1? Round your answers to the nearest hundredths.


It is the aim of the Department of Health (DOH) to give measles vaccine to infants. When a barangay health worker in Casili, Mandaue City was asked by the City Health Officer of Mandaue City regarding the proportion of infants who received measles vaccine, the barangay health working claimed that 60% of infants had completed measles vaccine. On the basis of this claim, you as a City health personnel was tasked to verify this claim of the barangay health worker. You were able to interview 120 mothers. Seventy of these mothers confirmed that their children availed of the measles vaccine. You test the claim of the barangay health worker using 0.01 level of significance.

soft drink dispenser is designed to dispense 250 mL of drink per cup. However, there have




been recent reports to the managements of a fast-food restaurant of both underfilled and




overfilled cups. Seeking to investigate this matter, they fill up 50 cups using this machine. If the mean amount of drink in the 50 cups is 248 mL with standard deviation of 12 mL, is there a




cause for concern for the management? Use a level of significance of 0.01

In a test of Ho: u=80 against H1: u≠80, a sample of observations had a mean and standard deviation s=4.1. Find the p-value for the test.




. A quality controller wants to estimate the proportion of high quality goods out of a batch of products with a 90% confidence level and a margin of error of 5%. How many products must he test. 30


Mapalad Integrated High School determined students’ Body Mass Index (BMI) at the opening of classes. It has been recorded that the average height of female students is 154.2 centimeters with a standard deviation of 9 centimeters. The researcher conducted her own study and she randomly selected 40 female students. In her study, she got an average of 156.7 centimeters. Is there a reason to believe the claims of the school? Use 5% level of significance in testing the hypothesis.



A jar contains 36 red marbles numbered 1 to 36 and 50 blue marbles numbered 1 to 50. A marble is drawn at random from the jar. Find the probability of the given event. Please enter reduced fractions.



(a) The marble is red. P(red)=





(b) The marble is odd-numbered. P(odd)=





(c) The marble is red or odd-numbered. P(red or odd) =





(d) The marble is blue or even-numbered. P(blue or even)


 A hardware manufacturer produces bolts used to assemble various machines. Assume that the diameter of bolts produced by this manufacturer has an unknown population mean 𝝁 and the standard deviation is 0.1 mm. suppose the average diameter of a simple random sample of 50 bolts is 5.11 mm. (a) Calculate the margin of error of a 95% confidence interval for 𝝁.


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