A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than 914 milligrams. A random sample of 39 breakfast sandwiches has a mean sodium content of 905 milligrams. Assume the population standard deviation is 21 milligrams. At α=0.10​, do you have enough evidence to reject the​ restaurant's claim? Complete parts​ (a) through​ (e).   Part 1 ​(a) Identify the null hypothesis and alternative hypothesis.   A.) H0​: μ≤914 ​(claim)       Ha​: μ>914   B.) H0​:μ≠914​(claim)       Ha​: μ=914

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A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no more than
914 milligrams. A random sample of 39 breakfast sandwiches has a mean sodium content of 905 milligrams. Assume the population standard deviation is 21 milligrams. At α=0.10​, do you have enough evidence to reject the​ restaurant's claim? Complete parts​ (a) through​ (e).
 
Part 1
​(a) Identify the null hypothesis and alternative hypothesis.
 
A.) H0​: μ≤914 ​(claim)
      Ha​: μ>914
 
B.) H0​:μ≠914​(claim)
      Ha​: μ=914
 
C.) H0​:μ≤905
      Ha​: μ<905 ​(claim)
 
D.) H0​: μ=905 ​(claim)
      Ha​: μ≠905
 
E.) H0​: μ<905 ​(claim)
      Ha​: μ≥905
 
F.) H0​: μ>914
     Ha​: μ≤914 ​(claim)
 
(b) Identify the critical​ value(s). Use technology.
Z0=____
Identify the rejection​ region(s) ______
 
​(c) Identify the standardized test statistic. Use technology.
z=____​
(d) Decide whether to reject or fail to reject the null​ hypothesis and​ (e) interpret the decision in the context of the original claim.
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