Statistics and Probability Answers

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.

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

. 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.

 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.

A school wants to know the proportion of students who choose online classes as their mode of learning with 90% confidence. The first survey showed that 75% choose online classes as their mode of learning. The school wants to be accurate within 3% of the true proportion. What is the total number of sample size?

The average weight of 25 chocolate bars selected from a normally distributed population is 200 g with a standard deviation of 10 g. Find the interval estimate using 98% confidence level.

1. In a population of high school students algebra scores the mean 64 and the standard deviation of 6. Find the z values that corresponds to a score x = 81
2. A geometry score is 40. If it is given than mean is 42 and the standard deviation is 7.What is the corresponding z score
3. The average credit card debt for public school teacher is 14975. if the debut is normally distributed with a standard deviation of 5,650 find the probabilities

a. That the teacher owes at least 6,740

b. that the teacher owes more than 19270

c. that the teacher owes between 6740 and 19270