Your elderly grandfather prefers to ride the city bus, and many of his friends do as well. However, you also notice that many elderly people use rideshare apps like Lyft and Uber. You want to know whether elderly people are more likely to use the bus, or rideshare apps for transportation, but you notice that there's no published data suggesting an answer. You create a one-way chi square analysis and recruit 120 participants for your sample. What is the expected frequency for the number of elderly people in your sample who prefer the bus?

A tire manufacturing company encourages its employees to promote a zero-accident environment by practicing safety measures. However, for the past year, there are 300 recorded accidents. The data below categorized these accidents according to the shift (morning, mid, and night) when it happened and the reason of the accident (dangerous conditions and employee error). For instance, 5% of the accidents occurred during morning shift for the reason of dangerous conditions. As an HR manager, you are tasked to select one incident at random as part of your presentation to newly-hired employees. What is the probability of choosing an accident due to employee error given the fact that it happened during the night shift.

You are the manager for a family medicine clinic that has 3 physicians.  The staff have come to you with an informal observation that there are differences in the number of patients that each physician is seeing each day.  As manager, it is your job to make management decisions based on unbiased data.  In order to evaluate the situation you collect the number of patients seen by each physician for a 5 day work week.  Your observations are provided in the table below.  In order to see if there is a significant difference you need to conduct an ANOVA test.   DR ID   Patients seen 1 15 1 13 1 16 1 14 1 12 2 22 2 20 2 25 2 19 2 18 3 16 3 18 3 15 3 14 3 12     X 16.6

An entrepreneur owns 20 corporations, each with more than $10 million in assets. The entrepreneur consults the U. S. Internal Revenue Data Book and discovers that the IRS audits 20% of businesses of that size. On average how many of this entrepreneur's corporations do you expect will be audited. You can assume that all 20 corporations are independent. You do not need any knowledge about the IRS. Use probably and statistics.

A researcher is running a study to determine the proportion of men that wear neckties to work. To collect data, he keeps track of how a group of men are dressed as the enter an office building. Is this an observational study or an experiment? Why? Identify the sample and population of this study. In order to match the demographics of the company, the researcher wants 10% of the sample to be management and 90% to not be. How can this be done using stratified sampling? The researcher also decides to keep track of subjects' age. This would be considered: stratifying, bias, blocking, control? If the researcher removed all employees of Asian descent from the sample, what is this considered?

You may need to use the appropriate technology to answer this question. Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use  ? = 0.05  and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A Consultant B n1 = 16 n2 = 10 x1 = 6.83 x2 = 6.25 s1 = 0.66 s2 = 0.75 (a) State the null and alternative hypotheses. H0:   ?1 − ?2 ≤ 0 Ha:   ?1 − ?2 = 0 H0:   ?1 − ?2 ≠ 0 Ha:   ?1 − ?2 = 0      H0:   ?1 − ?2 ≤ 0 Ha:   ?1 − ?2 > 0 H0:   ?1 − ?2 > 0 Ha:   ?1 − ?2 ≤ 0 H0:   ?1 − ?2 = 0 Ha:   ?1 − ?2 ≠ 0 (b) Compute the value of the…

You may need to use the appropriate technology to answer this question. Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Assume the population variances are unequal. Consultant A Consultant B n, - 16 n2 = 10 X, = 6.81 X, = 6.26 s, = 0.69 $2 = 0.75 (a) State the null and alternative hypotheses. O Ho: H1 - H2 = 0 H H - H2 = 0 O Ho: H1 - H2 > 0 H3: H - H2 = 0 O Họ: H1 - H2 * 0 H3: H1 - H2 = 0 O Ho: H1 - H2 = 0 Hai H1 - H2 # 0 O Ho: H1 - H2 = 0 H3: 1 - H2 > 0 (b) Compute the value of the test statistic. (Round…

You may need to use the appropriate technology to answer this question. Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A n₁ 16 X₁ = 6.84 S₁ = 0.64 (a) State the null and alternative hypotheses. Ho: M₁ M₂ > 0 Ha: M₁ M₂ ≤ 0 (d) = Ho: M₁ - M₂ ≤0 Ha: M₁ M₂ > 0 - ○ Ho: M₁ - μ₂ = 0 Ha: M₁ M₂ #0 Ho: 11-1₂ 50 Ha: M₁ M₂ = 0 - Ho: M₁ M₂ O Ha: M₁ M₂ 0 = Consultant B - 72 10 x₂ = = 6.25 = $2= = 0.75 (b) Compute the value of the test statistic. (Round your answer to three decimal places.) (c) What is the…

You may need to use the appropriate technology to answer this question. Periodically, customers of a financial services company are asked to evaluate the company's financial consultants and services. Higher ratings on the client satisfaction survey indicate better service, with 7 the maximum service rating. Independent samples of service ratings for two financial consultants are summarized here. Consultant A has 10 years of experience, whereas consultant B has 1 year of experience. Use a = 0.05 and test to see whether the consultant with more experience has the higher population mean service rating. Consultant A =16 01 X₁ = 6.81 $1 = 0.64 Consultant B o Hoi thi thay 50 H₂H₁ - H₂ = 0 OHot-ty>0 H₂H₁-H₂ ≤0 o Hoi thi th=0 Hai khi thao 7₂ = = 10 $2 X₂² = 6.28 = 0.75 (a) State the null and alternative hypotheses. o Hoi thit250 Hồ thì thg 30 О Н : H1 - H2 + 0 H₂H₁ H₂ = 0 (b) Compute the value of the test statistic. (Round your answer to three decimal places.) 1.852 X You may have rounded in…

New Zealand requires cyclists to wear cycle helmets on public roads and this is enforced with fines. Most other countries have no mandatory helmet law, and a few have a law but do not enforce it.  Finland is an example of a country that has a mandatory cycle helmet law but does not enforce it. A road safety researcher is interested in whether the proportion of cyclists in New Zealand do actually wear helmets is different to the proportion of cyclists in Finland who wear helmets.  She has data from a survey which gives the following information: New Zealand:  Of 210 New Zealand cyclists surveyed, 100 wear a helmet while cycling.  Finland: Of 630 Finnish cyclists surveyed, 290 wear a helmet while cycling. Say that the true population proportion of New Zealand cyclists who wear a helmet is p1 and the true population proportion of Finnish cyclists who wear a helmet is p2. If our null hypothesis is H0: p1 - p2 = 0 and our alternative hypothesis is Ha: p1 - p2 ≠ 0, what is the z test…