Suppose a simple random sample of sizen=1000 is obtained from a population who with a specified characteristic is p = 0.24. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1)
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- Lalli long jumper is a teacher in a crowded school here in the city. He is very interested in long jump and he decided to study the long jump ability of the school's students. He held a long jump competition where all the students at the school took part and he measured the length of the students' jumps. Let us now assume that the length of the jump among the students at the school follows a normal distribution with an average of 4 meters and a standard deviation of 1 meter. Lalli randomly selected 100 participants from the long jump competition and asked them if they enjoyed long jump. 62 respondents said they enjoyed long jump. Lalli used the data to create a 95% confidence interval for the proportion of students who enjoy long jump. What is the lower limit of the safety gap? a.) 0.45 b.) 0.52 c.) 0.58 d.) 0.61 e.) 0.711.List all of the characteristics of the Standard Normal Distribution. 2.Why is finding the z-score called standardizing data? 3.Does the Empirical Rule apply to the standard normal curve?The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8 cm. Find the probability that an individual distance is greater than 210.00 cm. Find the probability that the mean for 20 randomly selected distances is greater than 198.50 cm. c. Why can the normal distribution be used in part (b), even though the sample size does not
- A random sample of 1005 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1005 adults surveyed, 511 indicated that televisions are a luxury they could do without. Complete parts (a) through (d) below. Click here to view the standard normal distribution table nage 1) Click here to view the standard normal distribution table (page 2). (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample a simple random sample, the value of is | which is 10, and the less than or equal to 5% of the (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that televisions…Is this distribution of "Day of the Month Born" for this statistics class approximately Normal? Justify your answer using the 68-95-99.7 rule.Suppose n =42 and p =0.34 Can we approximate p by a normal distribution? Np= Nq=
- This question requires the use of a standard normal table. Let z be a standard normal random variable, find P(Z < -.55). Enter your answer rounded to 4 decimal places.A random sample of 1009 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without? Of the 1009 adults surveyed, 525 indicated that televisions are a luxury they could do without. Complete parts (a) through (d) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2) BECCHE (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. (Round to three decimal places as needed.) (b) Verify that the requirements for constructing a confidence interval about p are satisfied. The sample Ya simple random sample, the value of is which is 10, and the less than or equal to 5% of the (Round to three decimal places as needed.) (c) Construct and interpret a 95% confidence interval for the population proportion of adults in the country who believe that…The mean incubation time for a type of fertilized egg kept at a certain temperature is 23 days. Suppose that the incubation times are approximately normally distributed with a standard deviation of 1 day. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (c) Find and interpret the probability that a randomly selected fertilized egg takes over 25 days to hatch. The probability that a randomly selected fertilized egg takes over 25 days to hatch is. (Round to four decimal places as needed.) Interpret this probability. Select the correct choice below and fill in the answer box to complete your choice. O A. The average proportion of the way to hatching of all eggs fertilized more than 25 days ago is (Round to two decimal places as needed.) B. In every group of 100 fertilized eggs, eggs will hatch in more than 25 days. (Round to the nearest integer as needed.) O C. If…
- Suppose a simple random sample of size n = 1000 is obtained from a population whose size is N= 2,000,000 and whose population proportion with a specified characteristic is p = 0.61. Complete parts (a) through (c) below. Click here to view the standard normal distribution table (page 1). Click here to view the standard normal distribution table (page 2). (a) Describe the sampling distribution of p. O A. Approximately normal, uA = 0.61 and aa z 0.0003 O B. Approximately normal, ua = 0.61 and aa 0.0002 OC. Approximately normal, ua = 0.61 and aa 0.0154 O Standard Normal Distribution Table (page 2) Aca Standard Normal Distribution 0.00 0.01 0,02 0.03 0.04 0.05 0,06 0,07 0.08 0.09 0.5000 0.5398 0.5793 0.6179 0.6554 0.5040 0.5438 0.5832 0.5080 0.5478 0.5871 0.6255 0.6628 0.5120 0.5517 0.5910 0.6293 0.6664 0.5160 0.5557 0.5948 0.6331 0.6700 0.5199 0.5596 0.5987 0.5239 0.5636 0.6026 0.6406 0.6772 0.5279 0.5675 0.6064 0.6443 0.6808 0.5319 0.5714 0.6103 0.6480 0.6844 0.5359 0.5753 0.6141 0.6517…Part 1. The central limit theorem only applies when the original distribution is normal. True or false? Part 2. The shape of the t distribution is impacted by the size of the sample used to generate it. True or false?A random sample of 1015 adults in a certain large country was asked "Do you pretty much think televisions are a necessity or a luxury you could do without?" Of the 1015 adults surveyed, 523 indicated that televisions are a luxury they could do without. Complete parts (a) through (e) below. Click here to view the standard normal distribution table (page 1) Click here to view the standard normal distribution table (page 2) (a) Obtain a point estimate for the population proportion of adults in the country who believe that televisions are a luxury they could do without. 0.515 (Round to three decimal places as needed.) (b) Verify that the requirements for constructingg a confidence interval about p are satisfied. The sample can be as5sumed to be a simple random sample, the value of np 1-pis which is greater than or equal to 10, and the sample size is stated to not be less than or equal to 5% of the sample proportion. (Round to three decimal places as needed.) (c) Construct and interpret a…