14. The proportion of hospitals in Example A of Section 7.2 that had fewer than 1000 discharges is p = .654. Suppose that the total number of hospitals having fewer than 1000 discharges is estimated from a simple random sample of size 25. Use the central limit theorem to sketch the approximate sampling distribution of the estimate.

The large airline company, Tale Winds, knows from experience that only 77% of the passengers booked for flights actually show up. Suppose that we will take a random sample of 8 Tale Winds passengers. Let p represent the proportion of passengers from the sample who show up for their flight. Consider the sampling distribution of the sample proportion p . Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed. (a) Find un (the mean of the sampling distribution of the sample proportion). HA = ] (b) Find oA (the standard deviation of the sampling distribution of the sample proportion). ? Continue Submit Assignment O 2022 McGraw Hill LLC. All Rights Reserved. Terms of Use | Privacy Center | Accessibility APR ?? 6. étv MacBook Air 80 DI DD F3 F4 F5 F6 F7 FB F9 F10 F11 F12 %24 & 3 5 6 9. delete %3D

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5.  Suppose that the age of a randomly selected business major can be considered to be a random variable with mean 20 years and standard deviation 2 years. A group of 64 business majors is selected at random and their average age x¯ is calculated. a) What is the approximate sampling distribution of x¯and why?

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Withdrawal symptoms may occur when a person using a painkiller stops using it. For a certain, widely taken painkiller, withdrawal symptoms occur in 18% of people who have stopped using the painkiller. Suppose that we will take a random sample of 8 people who have stopped using the painkiller. Let p represent the proportion of people from the sample who experienced withdrawal symptoms. Consider the sampling distribution of the sample proportion p. Complete the following. Carry your intermediate computations to four or more decimal places. Write your answers with two decimal places, rounding if needed. (a) Find (the mean of the sampling distribution of the sample proportion). P H₁₁ = 1 Р (b) Find G (the standard deviation of the sampling distribution of the sample proportion). P 0₁ = P

Suppose that 77% of the students at a small private university carry student loans. For a SRS of students at this university, let P(hat) be the sample proportion of the students who carry student loans. How large would a sample from this population need to be to ensure that the distribution of the sample proportion is normally distributed?

1.) Suppose 5% of students are veterans and 143 students are involved in sports. How unusual would it be to have no more than 12 veterans involved in sports? (12 veterans is about 8.3916%)When working with samples of size 143, what is the mean of the sampling distribution for the proportion of veterans? When working with samples of size 143, what is the standard error of the sampling distribution for the proportion of veterans? Compute P(ˆp≤p^≤ 0.083916).P(ˆp≤p^≤ 0.083916) = NOTE: Give results accurate to 5 decimal places 2.)Suppose 15% of students are veterans and 138 students are involved in sports. How unusual would it be to have no more than 14 veterans involved in sports? (14 veterans is about 10.1449%)When working with samples of size 138, what is the mean of the sampling distribution for the proportion of veterans? When working with samples of size 138, what is the standard error of the sampling distribution for the proportion of veterans? Compute P(ˆp≤p^≤ 0.101449).P(ˆp≤p^≤…

8. According to law enforcement records, the proportion of all drivers who have received at least one speeding ticket is 0.20.  Let’s say we choose a large random sample of drivers and determine the proportion who have received at least one speeding ticket.  We know, if the sampling method is repeated, that the sample proportion will vary from sample to sample.  In fact, if we look at the sampling distribution in this case, we will see a distribution that is Normal in shape, with a mean (or center) of 0.20 and a standard deviation of 0.036.  From this information, we know the middle 68% of this distribution will be between approximately what two values?   1. 0.19 and 0.21 2. 0.152 and 0.248 3. 0.1996 and 0.2004 4. 0.176 and 0.224 5. 0.164 and 0.236

Suppose that a product is shipped in lots of size N = 5000. The receiving inspection procedure used is single sampling with n = 50 and c = 1 & n = 50 and c = 2. Draw the OC curves for the plan and say which one is appropriate (c=1 or c=2 as n is constant)?