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)
Use the rule of inference to obtain conclusion from the each of the set of premises
“If I play hockey, then I am sore the next day.”
“I use the whirlpool if I am sore.”
“I did not use the whirlpool.”
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.
How many 3-digit numbers can be formed from digits 1 – 5 if:
a. If repetition is allowed?
b. If repetition is not allowed?
How many possible passwords are there for the following conditions: 3
digits followed by 2 letters followed by 4 digits? (3 pts)
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