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:µ = 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:

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**Section 9.2**

A marketing researcher wants to estimate the mean amount spent per year ($) on a website by membership member shoppers. A random sample of 130 membership shoppers who recently made a purchase yielded a mean amount spent of $58 and a standard deviation of $55. Use technology to solve and include files and/or screenshots.

Is there evidence that the population mean amount spent per year on the website by membership member shoppers is different from $52?

- Significance level: \(\alpha = 0.10\)

  - Null hypothesis: \(H_0 : \mu = 52\)
  - Alternative hypothesis: \(H_1 : \mu \neq 52\)

1. Identify the critical value(s): ___________ (Round to two decimal places as needed.)

2. Determine the test statistic: ___________ (Round to two decimal places as needed.)

3. State the conclusion: __________________________________________________

---

**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. Test the null hypothesis at the 0.05 level of significance to determine if there is evidence that the mean one-time gift donation is greater than $70. Use technology to solve and include files and/or screenshots.

- Significance level: \(\alpha = 0.05\)

  - Null hypothesis: \(H_0 : \mu \leq 70\)
  - Alternative hypothesis: \(H_1 : \mu > 70\)

1. Find the test statistic: ___________ (Round to two decimal places as needed.)

2. Find the p-value: ___________ (Round to two decimal places as needed.)

3. State the conclusion: __________________________________________________
Transcribed Image Text:**Section 9.2** A marketing researcher wants to estimate the mean amount spent per year ($) on a website by membership member shoppers. A random sample of 130 membership shoppers who recently made a purchase yielded a mean amount spent of $58 and a standard deviation of $55. Use technology to solve and include files and/or screenshots. Is there evidence that the population mean amount spent per year on the website by membership member shoppers is different from $52? - Significance level: \(\alpha = 0.10\) - Null hypothesis: \(H_0 : \mu = 52\) - Alternative hypothesis: \(H_1 : \mu \neq 52\) 1. Identify the critical value(s): ___________ (Round to two decimal places as needed.) 2. Determine the test statistic: ___________ (Round to two decimal places as needed.) 3. State the conclusion: __________________________________________________ --- **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. Test the null hypothesis at the 0.05 level of significance to determine if there is evidence that the mean one-time gift donation is greater than $70. Use technology to solve and include files and/or screenshots. - Significance level: \(\alpha = 0.05\) - Null hypothesis: \(H_0 : \mu \leq 70\) - Alternative hypothesis: \(H_1 : \mu > 70\) 1. Find the test statistic: ___________ (Round to two decimal places as needed.) 2. Find the p-value: ___________ (Round to two decimal places as needed.) 3. State the conclusion: __________________________________________________
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