It Can Be Excel Or A Picture Of Paper With The Solutions

Question

It Can Be Excel Or A Picture Of A Paper With The Solutionsplease She It can be Excel or a picture of a paper with the solutions. Please she knows im not good with excel, so make it as simple as possible. Directions: you must submit your initial answers to the homework and I will check whether you are on the right path. All of the problems require calculations from Ch. 10.1 and 10.4. They are not simple read and response problems. You must have a calculation for your interpretation. I recommend you use Excel to complete this exercise and take a look at the file posted on Moodle titled “Ch 9 and 10 in Excel – 1”. The operations manager at a lightbulb factory wants to determine whether there is any difference in the mean life expectancy of bulbs manufactured on two different machines. The population standard deviation of machine I is 110 hours and of machine II is 125 hours. A random sample of 25 light bulbs from machine I indicates a mean of 375 hours and a similar sample of 25 light bulbs indicates a mean of 362 hours for machine II. Suppose that another branch located in a residential area is also concerned with the noon to 1 pm lunch period. A random sample of 15 customers from Bank1 and Bank2 are recorded with the respective waiting times (in minutes). Assume that the population variances from both banks are equal, is there evidence of a difference in the mean waiting times between the two branches? Use a=0.05. What is the confidence interval estimate of the difference between the population means in the two branches?

Dr. Jack HW Helper · Accepted Answer

Introduction This paper addresses two key statistical comparison problems: (1) assessing the difference in mean lifespans of lightbulbs produced by two machines, and (2) evaluating the difference in waiting times between two bank branches during a busy lunch hour. Both problems involve hypothesis testing about population means based on sample data, applying concepts from Chapters 10.1 and 10.4 of the statistics textbook, which cover t-test procedures, confidence intervals, and analysis of variance assumptions. Problem 1: Lightbulb Lifespan Comparison The first problem involves testing whether the mean lifespans of bulbs produced by two different machines differ significantly. The data includes known population standard deviations, indicating a Z-test is appropriate. The parameters are: - Sample size for both machines: n₁ = n₂ = 25 - Sample means: ȳ₁ = 375 hours, ȳ₂ = 362 hours - Population standard deviations: σ₁ = 110 hours, σ₂ = 125 hours Using these, the null hypothesis (H₀) states there is no difference: μ₁ = μ₂, while the alternative hypothesis (H₁) posits a difference: μ₁ ≠ μ₂. To test this hypothesis at the 0.05 significance level, the z-statistic is calculated as: $$ Z = \frac{( \bar{y}_1 - \bar{y}_2 ) - 0 }{ \sqrt{ \frac{\sigma_1^2}{n_1} + \frac{\sigma_2^2}{n_2} } } $$ Plugging in the numbers: $$ Z = \frac{375 - 362}{\sqrt{ \frac{110^2}{25} + \frac{125^2}{25} }} = \frac{13}{\sqrt{ \frac{12100}{25} + \frac{15625}{25} }} = \frac{13}{\sqrt{484 + 625}} = \frac{13}{\sqrt{1109}} \approx \frac{13}{33.30} \approx 0.39 $$ Consulting the standard normal distribution, a z-value of 0.39 corresponds to a two-tailed p-value well above 0.05, indicating insufficient evidence to reject H₀. Conclusively, there is no statistically significant difference in mean bulb lifespan between the two machines at the 5% significance level. Problem 2: Comparing Waiting Times in Two Bank Branches For the second problem, the question asks whether there is a significant difference in mean w

It Can Be Excel Or A Picture Of Paper With The Solutions

It Can Be Excel Or A Picture Of A Paper With The Solutionsplease She

Paper For Above instruction

Introduction

Problem 1: Lightbulb Lifespan Comparison

Problem 2: Comparing Waiting Times in Two Bank Branches

Discussion and Conclusion

References