Statistics and Probability Answers

A bank Manager wishes to provide a prompt service to customers at the bank derive up windows. The bank currently can serve up to 10 customers per 15 minutes period without significant delay. The average arrival rate is 7 customers per 15 minutes period. Let 𝑥 be the number of customers arriving per 15 minutes period. Assuming that 𝑥 has a Poisson distribution. a) Find

i. The probability that 10 customers will arrive in a particular 15 minutes period. ii. The probability that 10 or fewer customers will arrive in a particular 15 minutes period.

b) Find the probability that there will be a significantly delay at the derive up window. That is to find the probability that more than 10 customers will arrive during a particular 15 minutes period.

Parameter, null hypothesis in symbol, alternative hypothesis in symbol, directional or non directional, level of significance,. 1. A college dean claims that a bachelor's degree should be earned in an average of five years. Test the claim using 95% confidence level.

2. The young engineers in a manufacturing company claim that the mean annual income is greater than php 500,000. Test the claim using 95% confidence level

find the critical value of Two-tailed test; variance is known, α = 0.05, n = 40

One-tailed test; variance is unknown, α = 0.05, n = 15

Consider a population consisting of 1 2 3 4 and 5 suppose samples of size 2 are drawn from this population. Describes the sampling distribution of the sample mean INSTRUCTION 1.Determaine the number of possible samples of size n=2 2.List all possible sample and their corresponding means 3.Construct the sampling distribution of the sample means 4.Compute the mean of the distribution of the sample means.

Calculate the slope and y-intercept of the ff. 1. A study was done to investigate the relationship between the age in years of a young person x and the time y in minutes at which the child can run one mile. Data from children between the ages of 8 and 15 was collected. The equation of the regression line was found to be y = 17 - 0.5x

Calculate the slope and y-intercept of the ff. 1. A study was done to investigate the relationship between the age in years of a young person x and the time y in minutes at which the child can run one mile. Data from children between the ages of 8 and 15 was collected. The equation of the regression line was found to be y = 17 - 0.5x .

Directions: Identify the dependent and independent variables in each pair of the following variables. Place you answer in the table. 1. Altitude and acceleration 2. Price of goods and the demand 3. Monthly salary and annual income of a worker 2 DEPENDENT VARIABLES INDEPENDENT VARIABLES 

Directions: Use the traditional method and p-value method in solving the problem on population proportion. Problem: A school administrator claims that less than 50% of the students of the school are dissatisfied by the community cafeteria service. Test claim by using sample data obtained from a survey of 500 students of the school where 54% indicated their dissatisfaction of the community cafeteria service. Use = 0.05 

Check the assumptions. Is the sample size large enough for the Central Limit Theorem (CLT) to apply? With n= ________, the Central Limit Theorem applies. 

Determine the ff. problem as: a.)One-tailed (Right tailed or left tailed) or Two-tailed b.)Alpha value c.)Critical value It is believed that in the coming election, 65% of the voters in the province of Pampanga will vote for the administration candidate for governor. Suppose 713 out of the 1 150 randomly selected voters indicate that they would vote for the administration candidate. At 0.10 level of significance, find out whether the percentage of voters for the administration candidate is different from 65%