A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 930 milligrams. A random sample of 59 breakfast sandwiches has a mean sodium content of 925 milligrams. Assume the population standard deviation is 17 milligrams. At a = 0.05, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. Ο Α. Hρ: μ> 930 Ha: us 930 (claim) O B. Ho: us925 Ha:u<925 (claim) OC. Ho: u930 (claim) Ha:=930 O D. Ho: u<925 (claim) H:u2925 O E. Ho: = 925 (claim) H:H925 OF. Ho: us930 (claim) H:u> 930 (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below. O A. The rejection regions are z>1.64 and z< -1.64. O B. The rejection region is z<1.64. OC. The rejection region is z>1.64. (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. O A. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams. O B. Reject Ho. There is sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams. O C. Fail to reject Ho. There is sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams. OD. Reject Ho. There is not sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams.
A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 930 milligrams. A random sample of 59 breakfast sandwiches has a mean sodium content of 925 milligrams. Assume the population standard deviation is 17 milligrams. At a = 0.05, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. Ο Α. Hρ: μ> 930 Ha: us 930 (claim) O B. Ho: us925 Ha:u<925 (claim) OC. Ho: u930 (claim) Ha:=930 O D. Ho: u<925 (claim) H:u2925 O E. Ho: = 925 (claim) H:H925 OF. Ho: us930 (claim) H:u> 930 (b) Identify the critical value(s). Use technology. (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Select the correct choice below. O A. The rejection regions are z>1.64 and z< -1.64. O B. The rejection region is z<1.64. OC. The rejection region is z>1.64. (c) Identify the standardized test statistic. Use technology. z= (Round to two decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis, and (e) interpret the decision in the context of the original claim. O A. Fail to reject Ho. There is not sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams. O B. Reject Ho. There is sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams. O C. Fail to reject Ho. There is sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams. OD. Reject Ho. There is not sufficient evidence to reject the claim that mean sodium content is no more than 930 milligrams.
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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![### Hypothesis Testing for Sodium Content in Breakfast Sandwiches
A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 930 milligrams. A random sample of 59 breakfast sandwiches has a mean sodium content of 925 milligrams. Assume the population standard deviation is 17 milligrams. At α = 0.05, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e).
#### (a) Identify the null hypothesis and alternative hypothesis.
- **Option A:** \( H_0: \mu > 930 \) (Claim)
\( H_a: \mu \leq 930 \)
- **Option B:** \( H_0: \mu \leq 925 \)
\( H_a: \mu < 925 \) (Claim)
- **Option C:** \( H_0: \mu \neq 930 \) (Claim)
\( H_a: \mu = 930 \)
- **Option D:** \( H_0: \mu < 925 \) (Claim)
\( H_a: \mu \geq 925 \)
- **Option E:** \( H_0: \mu = 925 \) (Claim)
\( H_a: \mu \neq 925 \)
- **Option F:** \( H_0: \mu \leq 930 \) (Claim)
\( H_a: \mu > 930 \)
#### (b) Identify the critical value(s). Use technology.
- \( z_0 = \) [Text box for input]
*(Use a comma to separate answers as needed. Round to two decimal places as needed.)*
#### Identify the rejection region(s). Select the correct choice below.
- **A.** The rejection regions are \( z > 1.64 \) and \( z < -1.64 \).
- **B.** The rejection region is \( z < 1.64 \).
- **C.** The rejection region is \( z > 1.64 \).
#### (c) Identify the standardized test statistic. Use technology.
- \( z = \) [Text box for input]
*(Round to two decimal places as needed.)*
#### (d) Decide whether to reject or fail to reject the null hypothesis, and (e) Interpret the decision in the context of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F30ed8941-ce9c-4a61-953f-230a29ff6a7f%2F07ea0bd0-e03a-4d12-ae06-8999dacdb4be%2F0qn26zq_processed.png&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing for Sodium Content in Breakfast Sandwiches
A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 930 milligrams. A random sample of 59 breakfast sandwiches has a mean sodium content of 925 milligrams. Assume the population standard deviation is 17 milligrams. At α = 0.05, do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e).
#### (a) Identify the null hypothesis and alternative hypothesis.
- **Option A:** \( H_0: \mu > 930 \) (Claim)
\( H_a: \mu \leq 930 \)
- **Option B:** \( H_0: \mu \leq 925 \)
\( H_a: \mu < 925 \) (Claim)
- **Option C:** \( H_0: \mu \neq 930 \) (Claim)
\( H_a: \mu = 930 \)
- **Option D:** \( H_0: \mu < 925 \) (Claim)
\( H_a: \mu \geq 925 \)
- **Option E:** \( H_0: \mu = 925 \) (Claim)
\( H_a: \mu \neq 925 \)
- **Option F:** \( H_0: \mu \leq 930 \) (Claim)
\( H_a: \mu > 930 \)
#### (b) Identify the critical value(s). Use technology.
- \( z_0 = \) [Text box for input]
*(Use a comma to separate answers as needed. Round to two decimal places as needed.)*
#### Identify the rejection region(s). Select the correct choice below.
- **A.** The rejection regions are \( z > 1.64 \) and \( z < -1.64 \).
- **B.** The rejection region is \( z < 1.64 \).
- **C.** The rejection region is \( z > 1.64 \).
#### (c) Identify the standardized test statistic. Use technology.
- \( z = \) [Text box for input]
*(Round to two decimal places as needed.)*
#### (d) Decide whether to reject or fail to reject the null hypothesis, and (e) Interpret the decision in the context of
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