please help with a-f:

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Suppose nine items are sampled from a normally distributed population with a mean of 108 and a standard deviation of 16 . The nine randomly sampled values are shown in the table. Calculate the probability of getting a sample mean that is smaller than the mean for these nine sampled values. The probability that a sample mean is smaller than the mean for these nine values is (Round to four decimal places as needed.) Determine the appropriate critical value(s) for each of the following tests concerning the population mean: a. HA:>11,n=13,=11.4,=0.05 b. HA:=21,n=27,s=33.81,=0.20 c. HA:=32,n=39,=33.814=0.10 d. HA:14,n=28,=12.1 a. Determine the appropriate critical value(s) for the test HA:>11,n=13,=11,4,=0.05. A. The critical value(s) is(are) (Round to two decimal places as needed. Use a conjma to separate answers as needed.) B. This is an invalid hypothesis test. The population below is provided. Further, a simple random sample from this population gives the values below. Compute the sampling error for the sample mean in this situation. The sampling error for the sample mean is (Round to two decimal places as needed.) Suppose the average number of returns processed by employees of a tax preparation service during tax season is 10 per day with a standard deviation of 5 per day. A random sample of 36 employees taken during tax season revealed the number of retums processed daily shown below Use these data to answer parts a through c. a. What is the probability of having a sample mean equal to or smaller than the sample mean for this sample if the population mean is 10 processed retums daily with a standard deviation of 5 returns per day? The probability is (Round to four decimal places as needed.) A population with a mean of 1,000 and a standard deviation of 400 is known to be highly skewed to the right. If a random sample of 64 items is selected from the population, what is the probability that the sample mean will be less than 1,100 ? P(x11,n=13,=11.4,=0.05 b. HA:=21,n=27,s=33.81,=0.20 c. HA:=32,n=39,=33.814=0.10 d. HA:14,n=28,=12.1 a. Determine the appropriate critical value(s) for the test HA:>11,n=13,=11,4,=0.05. A. The critical value(s) is(are) (Round to two decimal places as needed. Use a conjma to separate answers as needed.) B. This is an invalid hypothesis test. The population below is provided. Further, a simple random sample from this population gives the values below. Compute the sampling error for the sample mean in this situation. The sampling error for the sample mean is (Round to two decimal places as needed.) Suppose the average number of returns processed by employees of a tax preparation service during tax season is 10 per day with a standard deviation of 5 per day. A random sample of 36 employees taken during tax season revealed the number of retums processed daily shown below Use these data to answer parts a through c. a. What is the probability of having a sample mean equal to or smaller than the sample mean for this sample if the population mean is 10 processed retums daily with a standard deviation of 5 returns per day? The probability is (Round to four decimal places as needed.) A population with a mean of 1,000 and a standard deviation of 400 is known to be highly skewed to the right. If a random sample of 64 items is selected from the population, what is the probability that the sample mean will be less than 1,100 ? P(x