105e x has a distribution with μ=24 and σ=20. (a) If a random sample of size n=46 is drawn, find μxˉ,​σxˉ−​and P(24≤xˉ≤2

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105e x has a distribution with μ=24 and σ=20. (a) If a random sample of size n=46 is drawn, find μxˉ,​σxˉ−​and P(24≤xˉ≤26 ). (Round σxˉ−​to two decimal places and the probability to four decimal places.) μxˉ​=σxˉ​=P(24≤xˉ≤26)=​ (b) If a random sample of size n=73 is drawn, find μxˉ​,σxˉ​ and P(24≤xˉ≤26). (Round σxˉ​ to two decimal places and the probability to four decimal places.) Hx​=σxˉ=P(24≤xˉ≤26)=​ (c) Why should you expect the probability of part (b) to be higher than that of part (a)? (Hint: Consider the standard deviations in parts (a) and (b).) The standard deviation of part (b) is part (a) because of the sample size. Therefore, the distribution about μx​ is