Statistics and Probability Answers

The cashier of a fastfood restaurant claims that the average amount spent by customers for dinner is P 120. 00. A sample

of 50 customers over a month period was randomly selected and it was found out that the average amount spent for dinner

was P 112. 50. Using a 0.05 level of significance, can it be concluded that the average amount spent by customers is more

than P 120. 00? Assume that the population standard deviation is P 6.50.

(Use the critical value method)

80% area below it

Length (meter): 5 6 7 9 12 Weight (KG): 13 15 18 19 20 State which of the two characteristics of two items is more variable?

Five items was taken from the output of factory. The length and weight of 5 items are given below. Length (meter): 5 6 7 9 12 Weight (KG): 13 15 18 19 20

what is probability

 Suppose a random sample of 38 sports cars has an average annual fuel cost of K2218 and the standard deviation was K523. Construct a 90% confidence interval for μ. Assume the annual fuel costs are normally distributed.

 Suppose a random sample of 38 sports cars has an average annual fuel cost of K2218 and the standard deviation was K523. Construct a 90% confidence interval for μ. Assume the annual fuel costs are normally distributed.

3 A random of sample of size 25 is taken with replacement from a population with 121.4 and 50.5. 4. A random sample of 20 independent observations is taken from a population with p = 23.8 and a = 5.

State the NULL and the ALTERNATIVE HYPOTHESES of the following statements in symbols and in word, write if it is TWO-TAILED TEST or ONE-TAILED TEST.

1. The enrollment in Catarman National High School this school year rises by 10%.
2. The number of male grade 11 students is identical to the number of female students.
3. The Catarman National High School wants to test if the students in Grade 11 prefer modular learning as the method of instruction.

From 1-3 :

Null H_o:

Hypotheses H₁:

Alternative H_o:

Hypotheses H₁:

Determine the notation ("\\mu,\\sigma,\\rho,\\sigma^2" ), symbols (= , "\\ne" , <, >, "\\le, \\ge" ), and value of the parameter:

1. Average salary of University of Eastern Philippines (UEP) graduates is at most ₱ 324, 000.
2. The standard deviation of students riding a tricycle from Catarman to Dalakit is 1.5
3. The Department of Education offers a mean of 14 days of vacation for students from May 2-13.
4. Passing rate of students in Statistics and Probability Philippines is below 60%.
5. Mean number of teachers in Catarman National High School is at most 1.9

Notations Symbols Value

1. "\\le"
2. =
3. 14
4. .60
5. "\\mu"