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# When the null hypothesis is true there is not

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97. When the null hypothesis is true, there is not possibility of making a type I error. a. True b. False 98. What value(s) of alpha would we reject H o for μ greater than the mean 10 if = 11, s = 2, and n = 36? 99. The average customer waiting time at a fast food restaurant has been 7.5 minutes. The customer waiting time has a normal distribution. The manager claims that the use of a new system will decrease average customer waiting time in the store. What is the null and alternative hypothesis for this scenario? 100. For a given hypothesis test, if we do not reject H 0 , and H 0 is true. 101. When conducting a hypothesis test about a single mean, at a given level of significance, as the sample size n increases, the power of the test: a. Will decrease. b. Will increase. c. May increase or decrease. d. Remains the same. 102. When the null hypothesis is not rejected, there is no possibility of making a Type I error. 103. For the following hypothesis test where H 0 : μ ≤ 10 vs. H а : μ > 10, we reject H 0 at level of significance α and conclude that the true mean is greater than 10 when the true mean is really 14. Based on this information we can state that we have:

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104. If a null hypothesis is rejected at a significance level of 0.01, it will _____ be rejected at a significance level of 0.05. 105. You cannot make a Type II error when the null hypothesis is true. a. True b. False 106. Alpha (α) is the probability that the test statistic would assume a value as or more extreme than the observed value of the test. 107. When determining the sample size, if the value found is not an integer initially, the next highest integer value will _______ be chosen. 108. In a manufacturing process a random sample of 9 bolts manufactured has a mean length of 3 inches with a standard deviation of 3 inches with a standard deviation of .3 inches. What is the 95% confidence interval for the true mean length of the bolt?

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