Please review Section 9.2. A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 130 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $58 and a standard deviation of $55. Use technology to solve and include files and/or screen shots. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $52? a = 0.10 H, :H = 52 H :µ # 52 Identify the critical value(s): (Round to two decimal places as needed.) Determine the test statistic: (Round to two decimal places as needed.) State the conclusion: Please review Section 9.3. A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 59 nonprofit organizations, the mean one-time gift donation in the past year was $75 with a standard deviation of $20. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70? Use technology to solve and include files and/or screen shots. a = 0.05 H,:µs 70 H, :µ > 70 Find the test statistic: (Round to two decimal places as needed.) Find the p-value: (Round to two decimal places as needed.) State the conclusion:
Please review Section 9.2. A marketing researcher wants to estimate the mean amount spent per year ($) on a web site by membership member shoppers. Suppose a random sample of 130 membership member shoppers who recently made a purchase on the web site yielded a mean amount spent of $58 and a standard deviation of $55. Use technology to solve and include files and/or screen shots. Is there evidence that the population mean amount spent per year on the web site by membership member shoppers is different from $52? a = 0.10 H, :H = 52 H :µ # 52 Identify the critical value(s): (Round to two decimal places as needed.) Determine the test statistic: (Round to two decimal places as needed.) State the conclusion: Please review Section 9.3. A survey of nonprofit organizations showed that online fundraising increased in the past year. Based on a random sample of 59 nonprofit organizations, the mean one-time gift donation in the past year was $75 with a standard deviation of $20. If you test the null hypothesis at the 0.05 level of significance, is there evidence that the mean one-time gift donation is greater than $70? Use technology to solve and include files and/or screen shots. a = 0.05 H,:µs 70 H, :µ > 70 Find the test statistic: (Round to two decimal places as needed.) Find the p-value: (Round to two decimal places as needed.) State the conclusion:
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:**Section 9.2: Estimating Mean Amount Spent**
A marketing researcher aims to estimate the mean amount spent per year ($) on a website by membership member shoppers. A random sample of 130 membership member shoppers who recently made a purchase on the website showed a mean amount spent of $58 and a standard deviation of $55. The question is whether the population mean amount spent per year by membership member shoppers is different from $52.
- **Significance Level:** \(\alpha = 0.10\)
- **Null Hypothesis (\(H_0\))**: \(\mu = 52\)
- **Alternative Hypothesis (\(H_1\))**: \(\mu \neq 52\)
- **Tasks:**
- Identify the critical value(s): ______ (Round to two decimal places as needed.)
- Determine the test statistic: ______ (Round to two decimal places as needed.)
- State the conclusion: ______
---
**Section 9.3: Online Fundraising Increase**
A survey of nonprofit organizations indicated an increase in online fundraising in the past year. A random sample of 59 nonprofit organizations demonstrated that the mean one-time gift donation was $75 with a standard deviation of $20. The task is to test whether the mean one-time gift donation is greater than $70 at a 0.05 level of significance.
- **Significance Level:** \(\alpha = 0.05\)
- **Null Hypothesis (\(H_0\))**: \(\mu \leq 70\)
- **Alternative Hypothesis (\(H_1\))**: \(\mu > 70\)
- **Tasks:**
- Find the test statistic: ______ (Round to two decimal places as needed.)
- Find the p-value: ______ (Round to two decimal places as needed.)
- State the conclusion: ______
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