Assume that females have pulse rates that are normally distributed with a mean of u= 72.0 beats per minute and a standard deviation of o = 12.5 beats per minute. Complete parts (a) through (c) below. a. If 1 adult female is randomly selected, find the probability that her pulse rate is between 65 beats per minute and 79 beats per minute. The probability is (Round to four decimal places as needed.) b. If 4 adult females are randomly selected, find the probability that they have pulse rates with a mean between 65 beats per minute and 79 beats per minute. The probability is (Round to four decimal places as needed.) c. Why can the normal distribution be used in part (b), even though the sample size does not exceed 30? O A. Since the original population has a normal distribution, the distribution of sample means is a normal distribution for any sample size. O B. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. O c. Since the distribution is of individuals, not sample means, the distribution is a normal distribution for any sample size. O D. Since the mean pulse rate exceeds 30, the distribution of sample means is a normal distribution for any sample size.

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A baseball team claims that the mean length of its games is 2.4 hours. State H0 and Ha 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 is at most 2.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≤2.4​."   B. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is more than 2.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≠2.4​."   C. The null hypothesis expressed in words​ is, "the mean length of a baseball​ team's games is at least 2.4 ​hours." The null hypothesis is expressed symbolically​ as, ​"H0​: μ≥2.4​."   D. The null hypothesis expressed in words​ is, "the mean length of a baseball​…

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