4. A researcher is interested in the percentage of HIV positive teenagers in South Africa. The target population for his study is the collection of all HIV positive teenagers in South Africa. MUKHANG TAMA O SEEMS WRONG
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- 1. The College of Science surveys its graduating students to determine the starting salaries and the job market for the new graduates. The population of graduating students according to major is recorded as follows: BS Bio (85), BSM- CS (102), BSM- BA (78), and BSM- AS (75). If you would like to select 100 samples, how large must a sample be for each major using proportionate allocation? 2. The event organizer plans to give 9 complimentary tickets to the presidents of the school organizations so they can attend the upcoming event for free. Since the tickets will be given only to 9 out of 50 presidents, the event organizer decided to choose a systematic random sampling procedure. Determine k (sampling interval). Let the random start be at number three (3). List the number of the first three samples.Delta Food Grocery has two grocery stores located in Bije City. One shop is located on Jalan Usman and the other on Jalan Sinda and each is run by a different manager. Every manager claims that his shop layout maximizes the number of impulsive customers. The two managers surveyed their sample of customers and asked them how much they were spending than they planned, in other words, how much they were spending on impulse (spending more than they planned). The following table shows sample data collected from the two shops. Jalan Usman (Rp 000) Jalan Sinda (Rp 000) 15.78 15.19 17.73 18.22 10.61 12.87 15.79 17.79 13.45 13.96 12.85 13.74 12.47 10.83 S1 = 2.5529 S2 = 2.5675 Top management at Delta Foods Grocery wanted to know if there was a difference in the mean amount of impulsive consumption between the two stores. Perform statistical analysis via: 1. Compile the null hypothesis and alternative hypothesis 2.…You wish to assess whether Los Angeles has an equitable distribution of police services among its precincts compared to nearby cities. You theorize that if police resources are distributed equitably, average response times for emergency calls should be fairly similar from one precinct to another within the city. On the other hand, if response times are much higher in some precincts than others, police resources are probably not distributed as equitably as possible. You decide to compare the City of LA to the other cities in the rest of LA County. You are hypothesizing about differences in the mean between the City of LA and other cities. State in plain English the null and research hypotheses for this study.
- The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout maximizes the amounts customers will purchase on impulse. A sample of 10 customers at the Peach Street store revealed they spent the following amounts more than planned: $17.58, $19.73, $12.61, $17.79, $16.22, $15.82, $15.40, $15.86, $11.82, $15.85. A sample of 14 customers at the Plum Street store revealed they spent the following amounts more than they planned when they entered the store: $18.19, $20.22, $17.38, $17.96, $23.92, $15.87, $16.47, $15.96, $16.79, $16.74, $21.40, $20.57, $19.79, $14.83. For data analysis, a t test: two-sample assuming unequal variances was used. Hypothesis Test: Independent Groups (t test, unequal variance) Peach Street Plum Street 15.8680 18.2921 mean 2.3306 2.5527 std. dev. 10 14…The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout maximizes the amounts customers will purchase on impulse. A sample of 10 customers at the Peach Street store revealed they spent the following amounts more than planned: $17.58, $19.73, $12.61, $17.79, $16.22, $15.82, $15.40, $15.86, $11.82, $15.85. A sample of 14 customers at the Plum Street store revealed they spent the following amounts more than they planned when they entered the store: $18.19, $20.22, $17.38, $17.96, $23.92, $15.87, $16.47, $15.96, $16.79, $16.74, $21.40, $20.57, $19.79, $14.83. For data analysis, a t test: two-sample assuming unequal variances was used. Hypothesis Test: Independent Groups (t test, unequal variance) Peach Street Plum Street 15.8680 18.2921 mean 2.3306 2.5527 std. dev. 10 14…The Willow Run Outlet Mall has two Haggar Outlet Stores, one located on Peach Street and the other on Plum Street. The two stores are laid out differently, but both store managers claim their layout maximizes the amounts customers will purchase on impulse. A sample of 10 customers at the Peach Street store revealed they spent the following amounts more than planned: $17.58, $19.73, $12.61, $17.79, $16.22, $15.82, $15.40, $15.86, $11.82, $15.85. A sample of 14 customers at the Plum Street store revealed they spent the following amounts more than they planned when they entered the store: $18.19, $20.22, $17.38, $17.96, $23.92, $15.87, $16.47, $15.96, $16.79, $16.74, $21.40, $20.57, $19.79, $14.83. For data analysis, a t-test: two-sample assuming unequal variances was used. At the .01 significance level, is there a difference in the mean amount purchased on an impulse at the two stores? Explain these results to a person who knows about the t-test for a single sample but who is unfamiliar…
- The manager of Young Corporation, wants to determine whether or not the type of work schedule for her employees has any effect on their productivity. She has selected 15 production employees at random and then randomly assigned 5 employees to each of the proposed work schedule. The following table shows the units of production(per week) under each of the work schedules. Work schedule (Treatments) Work schedule 1 Work schedule 2 Work schedule 3 50 60 70 60 65 75 70 66 55 40 54 40 45 57 55 1.State the null and alternative hypotheses to determine if there is a significant difference in the mean weekly units of production for the three types of work schedule. 2.Compute the sum of…College X wanted to know if their student body was changing its educational make up. In 2009, College X believed that their students could be divided as follows: Education Breakdown Not a HS grad 16.00% HS grad 32.00% Some College 18.00% Associate's Degree 8.00% Bachelor's Degree 17.00% Above Bachelor's 9.00% In 2017, College X randomly polled 500 of their students and observed the new data: Education Frequency Not a HS grad 72 HS grad 159 Some college 85 Associate's degree 44 Bachelor's Degree 92 Above Bachelor's 48 Is the educational make up of the College changing? Also, what should be used? confidence intervals z-score cause/correlation/regression or Chi-Squared hypothesis testsAssuming the total number of students studying in the top four universities in the Philippines isapproximately 158,000.And the distribution is as follows:University of the Philippines (UP) - 40% of the total numberAteneo de Manila University (ADMU) - 23,700De La Salle University (DLSU) - 25% of the total numberUniversity of Santo Tomas - 20% of the total numberAnd only the following number of students owns a tablet computer:20% of UP students85% of ADMU students90% of DLSU students85% of UST studentsWhat is the total market penetration of tablet computers among the students of the top fouruniversities?What is the total market size of tablet computers in the top four universities?
- Assuming the total number of students studying in the top four universities in the World is approximately 158,000.And the distribution is as follows: Harvard University (HU)- 40% of the total numberUniversity of Oxford (UO)- 23,700Standford University (SU)- 25% of the total numberMassachusetts Institute of Technology (MIT) - 20% of the total number And only the following number of students owns a tablet computer:20% of HU students85% of UO students90% of SU students85% of MIT students What is the total market penetration of tablet computers among the students of the top four universities? What is the total market size of tablet computers in the top four universities?Economist Arthur Laffer suggests that beyond a certain point, high tax rates depress the economy so much that they actually reduce tax revenues. He proposed tax reductions as a means of stimulating the economy and, as a result, increase tax revenues. In the mid 1990’s Time magazine reported that 30% of the US Congress supported a tax cut as a means of stimulating the economy and increasing tax revenues. Suppose at that time 5 members of congress were randomly selected for an interview and asked whether they supported a tax cut to stimulate the economy. 1.2) Find the probability that at least three of the five members of congress who were interviewed were in favour of a tax cut (rounded off to four decimals).The Bureau of Transportation reports on-time performance for airlines at major airports. JetBlue, United, and US Airways share Terminal C and Boston's Logan Airport. The percentage of on-time flights reported for a sample month were 76.8% for JetBlue, 71.5% for United, and 82.2% for US Airways. Assume that 30% of the arriving flights at this terminal are JetBlue flights, 32% are United flights, and 38% are US Airways flights. a. Develop a contingency table (table of joint probabilities and marginal probabilities). b. An announcement is made that Flight 1382 will arrive at Terminal C. What is the probability that the flight will arrive on time? c. Flight 1382 arrives on time. What is the probability that Flight 1382 is operated by US Airways? d. Flight 1382 will not arrive on time. What is the probability that Flight 1382 is operated by United?