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Assume that the amounts of weight that male college students gain during their freshman year are normally distributed with a mean of p = 1.1 kg and a standard deviation ofo = 4.5 kg. Complete parts {a} through {c} below. a. If 1 male college student is randomly selected. nd the probability that he gains between t] kg and 3 kg during freshman year. The probability is D. (Round to four decimal places as needed} b. If 4 male college students are randomly selected, find the probability that their mean weight gain during freshman year is between t'J kg and 3 kg. The probability is D. (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 3t]? [:1 A. Since the original population has a normal distribution. the distribution of sample means is a normal distribution for any sample size. [:1 E. Since the weight gain exceeds 30, the distribution of sample means is a normal distribution for any sample size. [:1 G. Since the distribution is of sample means, not individuals, the distribution is a normal distribution for any sample size. [:1 D. Since the distribution is of indiyiduals. not sample means, the distribution is a normal distribution for any sample size. In a Leichtman Research Group survey of QUE T'v' households, NEE of them had at least one Internet-connected T'v device {for example. Smart T'vi, stand alone streaming device, connected video game console}. A marketing executive wants to convey high penetration of Internet-connected T'v' devices, so he makes the claim that the percentage of all homes with at least one Internet-connected T'v' device is equal to 30%. Test that claim using a 'l signicance level. Use the Pvalue method. Use the normal distribution as an approximation to the binomial distribution. Let p denote the population proportion of all homes with at least one Internetconnected T'v' device. Identify the null and alternative hypotheses. Hcip D Hrip E [Type integers or decimals. Do not round.) Identify the test statistic. no [Rou no to two decimal places as needed.) Identify the Fvalue. P-value = D {Rou no to three decimal places as needed.) State the conclusion about the null hypothesis. as well as the nal conclusion that addresses the original claim. |:| the null hypothesis. There El sufficient evidence to |:| the claim that the percentage of all homes with at least one Internetcon necled T'v' device is equal to 50%. The last digit of the heights of 58 statistics students were Choose the correct histogram below. obtained as part of an experiment conducted for a class. Use the following frequency distribution to construct a O A. histogram. What can be concluded from the distribution of the digits? Specifically, do the heights appear to be reported or 0123456789 actually measured? O B. Digit Frequency 13 0123456789 O C. 327 H 01234567 89 OD. 167 0123456789Are the data reported or measured? O A. The data appears to be measured. The heights occur with roughly the same frequency. O B. The data appears to be measured. Certain heights occur a disproportionate number of times. O C. The data appears to be reported. The heights occur with roughly the same frequency. O D. The data appears to be reported. Certain heights occur a disproportionate number of times