A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 920 milligrams. A random sample of 30 breakfast sandwiches has a mean sodium content of 910 milligrams. Assume the population standard deviation is 25 milligrams. At ¤ = 0.10, 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. Ηρ: μS910 Ha: µ<910 (claim) O B. Ho: µ=910 (claim) Hai H#910 Oc. Ho: µs 920 (claim) Ha:µ> 920 O D. Ho: µ> 920 Ha: us 920 (claim) Ο Ε. H μ< 910 (claim) Ha: u2910 O F. Ho: µ#920 (claim) Ha:µ= 920 (b) Identify the critical value(s). Use technology. Zo (Use a comma to separate answers as needed. Round to two decimal places as needed.)

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A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 920 milligrams. A random sample of 30 breakfast sandwiches has a mean sodium content of 910 milligrams. Assume the population standard deviation is 25 milligrams. At \(\alpha = 0.10\), do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e).

(a) Identify the null hypothesis and alternative hypothesis.

Options:
- A: \( H_0: \mu \leq 910 \)  
  \( H_a: \mu < 910 \) (claim)  
- B: \( H_0: \mu = 910 \) (claim)  
  \( H_a: \mu \neq 910 \)  
- C: \( H_0: \mu \leq 920 \) (claim)  
  \( H_a: \mu > 920 \)  
- D: \( H_0: \mu > 920 \)  
  \( H_a: \mu \leq 920 \) (claim)  
- E: \( H_0: \mu < 910 \) (claim)  
  \( H_a: \mu \geq 910 \)  
- F: \( H_0: \mu \neq 920 \) (claim)  
  \( H_a: \mu = 920 \)  

Selected Option:
- C: \( H_0: \mu \leq 920 \) (claim)  
  \( H_a: \mu > 920 \)  

(b) Identify the critical value(s). Use technology. 

\( z_0 = \) [Blank for input]

(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Transcribed Image Text:A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 920 milligrams. A random sample of 30 breakfast sandwiches has a mean sodium content of 910 milligrams. Assume the population standard deviation is 25 milligrams. At \(\alpha = 0.10\), do you have enough evidence to reject the restaurant's claim? Complete parts (a) through (e). (a) Identify the null hypothesis and alternative hypothesis. Options: - A: \( H_0: \mu \leq 910 \) \( H_a: \mu < 910 \) (claim) - B: \( H_0: \mu = 910 \) (claim) \( H_a: \mu \neq 910 \) - C: \( H_0: \mu \leq 920 \) (claim) \( H_a: \mu > 920 \) - D: \( H_0: \mu > 920 \) \( H_a: \mu \leq 920 \) (claim) - E: \( H_0: \mu < 910 \) (claim) \( H_a: \mu \geq 910 \) - F: \( H_0: \mu \neq 920 \) (claim) \( H_a: \mu = 920 \) Selected Option: - C: \( H_0: \mu \leq 920 \) (claim) \( H_a: \mu > 920 \) (b) Identify the critical value(s). Use technology. \( z_0 = \) [Blank for input] (Use a comma to separate answers as needed. Round to two decimal places as needed.)
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