In: Statistics and Probability
A baseball team claims that the mean length of its games is less than 2.2 hours. State Upper H 0 and Upper H Subscript a in words and in symbols. Then determine whether the hypothesis test for this claim is? left-tailed, right-tailed, or? two-tailed. Explain your reasoning. State the null hypothesis in words and in symbols. Choose the correct answer below. A. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp at most 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: muless than or equals2.2?." B. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp less than 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: muless than2.2?." C. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp at least 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: mugreater than or equals2.2?." D. The null hypothesis expressed in words? is, "the mean length of a baseball? team's games isnbsp not 2.2 ?hours." The null hypothesis is expressed symbolically? as, ?"Upper H 0?: munot equals2.2?." State the alternative hypothesis in words and in symbols. Choose the correct answer below. A. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is less than 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: muless than2.2?." B. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is not 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: munot equals2.2?." C. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is more than 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: mugreater than2.2?." D. The alternative hypothesis expressed in words? is, "the mean length of a baseball? team's games is 2.2 ?hours." The alternative hypothesis is expressed symbolically? as, ?"Upper H Subscript a?: muequals2.2?." The hypothesis test is ? two dash tailed left dash tailed right dash tailed because the ? null alternative hypothesis contains ? not equals . greater than or equals . equals . greater than . less than . less than or equals .
For null hypothesis, Option - C is correct.
For alternative hypothesis, Option - A is correct.
The hypothesis test is a left tailed test, because the alternative hypothesis cointains less than.