Perform a test of hypothesis at 5% level of significance to help the labour union leader make an empirical based conclusion on the CEO's claim.
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- List the sample space of each experiment. Picking a one-digit number1. An agent for a residential real estate company in a large city would like to be able to predict the monthly rental cost for apartments, based on the size of an apartment, as defined by square footage. The agent selects a sample of 25 apartments in a particular residential neighborhood and gathers the following data: (pic) A. Interpret the meaning of and in this problem. B. Predict the monthly rent for an apartment that has 1,000 square feet.Company X pays its 50 employees a mean monthly salary of Php19,500; a second company Y pays its 62 employees a mean monthly salary of Php24,500; and, a third company Z pays its 75 employees an average monthly salary of Php28,000. What is the average monthly salary per employee in all the three companies? (Round off answer to the nearest peso.)A. Php 24,000 B. Php24,500 C. Php24,567 D. Php28000
- The average weekly allowance of students last year at a private high school was Php 600.00 per week, based on an enrollment of 1,080 stdents. The third year students who did not have this information interviewed 50 students and found their average weekly allowance last year to be Php 550.00. Identify the following: a. Population b. Sample c. Variable of interest d. Parameter e. SampleThe mean entry level salary of an IT professional at a company is 68000. You believe it is lower for non-IT employees. State the null and alternative hypothesis for the claim that non-IT employees have a lower average salary. Select your answer from one of the following options. a. ?0:?<$68000??:?≥$68000 b. ?0:?≤$68000??:?>$68000 c. ?0:?≠$68000??:?=$68000 d. ?0:?≥$68000??:?<$68000 e. ?0:?>$68000??:?≤$68000General Directions: As a competent Columbanite, do the following activities for written works and performance tasks. Perform the test of hypothesis on the following scenarios. 1. The minimum wage earners of the National Capital Region are believed to be receiving less than Php 5,000.00 per day. The CEO of a large supermarket chain in the region is claiming to be paying its contractual higher than the minimum daily wage rate of Php 500.00 To check on this claim, a labour union leader obtained a random sample of 144 contractual employees from this supermarket chain. The survey of their daily wage earnings resulted to an average wage of Php 510.00 per day with standard deviation of Php 1o0.00. The daily wage of the region is assumed to follow a distribution with unknown population variance. Perform a test of hypothesis at 5% level of significance to help the labour union leader make an empirical based conclusion on the CEO's claim.
- A mining company finds that daily lost-work injuries average 1.2. If the local union contract has a clause requiring that the mine be shut down as soon as three workers incur lost-work injuries, on what percentage of the days will the mine be operational throughout the day?The averrage gasoline prrice at Chevvron was $3.12 per gallon lastt month. Due to the recent nation-wide gas price drop, the chiief marketing officer of Chevvron believes that there has been a significant reduction in the average gas pricce. In orrder to test hiis belief, he randdomly selected a sample of 36 of Chevvron gas stations and found the average gas price of these stations was $3.06. Assume that the population standard deviation of the population is $0.12, and the significance level (α) is 5%. A. Using the critical value approach, what is the critical value? -1.960 1.688 1.960 1.645 -1.645 -1.688 -1.690 1.690 B. What is your conclusion (reject or fail to reject the null)? Fail to reject the null Reject the null C. Using the p-value approach, what is the p-value? p-value = -0.5 p-value = 0.05 p-value = 0 p-value = 0.0013 p-value = 3The averrage gasoline prrice at Chevvron was $3.12 per gallon lastt month. Due to the recent nation-wide gas price drop, the chiief marketing officer of Chevvron believes that there has been a significant reduction in the average gas pricce. In orrder to test hiis belief, he randdomly selected a sample of 36 of Chevvron gas stations and found the average gas price of these stations was $3.06. Assume that the population standard deviation of the population is $0.12, and the significance level (α) is 5%. A. What’s your conclusion (reject or fail to reject the null) at 5% significance level? Would you conclude that there has been a significant reduction in the average gas price? Reject the null. There has not been a significant reduction in the average gas price. Fail to reject the null. There has not been a significant reduction in the average gas price. Reject the null. There has been a significant reduction in the average gas price.