(a) State the null and alternative hypotheses. Hoi khi 3,173 HH3,173 C Ho: ≤ 3,173 H: > 3,173 Ho: > 3,173 H: 3,173 Ho: 23,173 H:H<3,173 Ho: <3,173 H:23,173 (b) What is the test statistic for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305? (Round your answer to two decimal places.) What is the p-value for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305? (Round your answer to four decimal places.) p-value= (c) Using a 0.05 level of significance, what your conclusion? Reject Ho. There is insufficient evidence conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report. Do not reject Ho. There is insufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all- time high of $3,173 reported in the original report. Do not reject Ho. There is sufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time.
(a) State the null and alternative hypotheses. Hoi khi 3,173 HH3,173 C Ho: ≤ 3,173 H: > 3,173 Ho: > 3,173 H: 3,173 Ho: 23,173 H:H<3,173 Ho: <3,173 H:23,173 (b) What is the test statistic for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305? (Round your answer to two decimal places.) What is the p-value for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305? (Round your answer to four decimal places.) p-value= (c) Using a 0.05 level of significance, what your conclusion? Reject Ho. There is insufficient evidence conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report. Do not reject Ho. There is insufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all- time high of $3,173 reported in the original report. Do not reject Ho. There is sufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time.
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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![### How Undergraduate Students Use Credit Cards: An Analytical Approach
In a study entitled "How Undergraduate Students Use Credit Cards," it was reported that undergraduate students have a mean credit card balance of $3,173. This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the original report. Based on previous studies, use a population standard deviation of σ = $1,000.
#### (a) State the null and alternative hypotheses.
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
#### (b) What is the test statistic for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305?
Round your answer to two decimal places.
\[ \text{Test Statistic} = \]
#### (c) What is the p-value for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305?
Round your answer to four decimal places.
\[ \text{p-value} = \]
#### (d) Using a 0.05 level of significance, what is your conclusion?
Choose the correct answer from the options below:
1. Reject \( H_0 \). There is insufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report.
2. Do not reject \( H_0 \). There is insufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report.
3. Do not reject](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa4ed8498-f2f2-4dcb-bcb0-3b3cd025dd21%2F1de2d140-7953-4b8f-9b6e-66539a32e649%2Fuhw5a3z_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### How Undergraduate Students Use Credit Cards: An Analytical Approach
In a study entitled "How Undergraduate Students Use Credit Cards," it was reported that undergraduate students have a mean credit card balance of $3,173. This figure was an all-time high and had increased 44% over the previous five years. Assume that a current study is being conducted to determine if it can be concluded that the mean credit card balance for undergraduate students has continued to increase compared to the original report. Based on previous studies, use a population standard deviation of σ = $1,000.
#### (a) State the null and alternative hypotheses.
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
- \( H_0: \mu = 3,173 \)
- \( H_a: \mu \neq 3,173 \)
#### (b) What is the test statistic for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305?
Round your answer to two decimal places.
\[ \text{Test Statistic} = \]
#### (c) What is the p-value for a sample of 170 undergraduate students with a sample mean credit card balance of $3,305?
Round your answer to four decimal places.
\[ \text{p-value} = \]
#### (d) Using a 0.05 level of significance, what is your conclusion?
Choose the correct answer from the options below:
1. Reject \( H_0 \). There is insufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report.
2. Do not reject \( H_0 \). There is insufficient evidence to conclude that the current population mean credit card balance for undergraduate students has increased compared to the previous all-time high of $3,173 reported in the original report.
3. Do not reject
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