A florist says that 85% of all orders sold for Valentine's Day are for roses.Consider a random sample of 150 orders for Valentine's Day flowers taken ina city with well over 3000 Valentine's Day flower orders.A) Verify that the three conditions of the Central Limit Theorem are met.B) The Central Limit Theorem states that if the conditions hold, the samplingdistribution for p is approximately normal. Express your answers in decimalform.1) The mean of this distribution is_2) The standard error is.C) Draw the Normal model on your paper for the sampling distribution of p.Be sure to include the mean, the mean ±1, 2, and 3 standard errors, as wellas a title for your horizontal axis.D) What is the probability that more than 90% of Valentine's Day orders arefor roses?

A) Verification of the three conditions of the Central Limit Theorem:Random: The sample of 150…

Answered: A florist says that 85% of all orders…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The average final exam score for the statistics course is 74%. A professor wants to see if the average final exam score for students who are given colored pens on the first day of class is lower. The final exam scores for the 12 randomly selected students who were given the colored pens are shown below. Assume that the distribution of the population is normal. 51, 86, 77, 86, 66, 59, 66, 76, 55, 59, 57, 80 What can be concluded at the α = 0.10 level of significance? For this study, we should use Select an answer t-test for a population mean z-test for a population proportion H0:H0: ? μ p Select an answer = ≠ > < H1:H1: ? p μ Select an answer = > < ≠ The test statistic ? t z = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.)
Please answer part d), e) and f) only.
Airlines tend to overbook their flights because they assume a certain percentage of people will be 'no shows' due to change in plans or late connecting flights. A recent study suggested that 86% of people actually show up for their flight on time. A random sample of 222 booked passengers is taken and whether or not they showed up on time is recorded for each of them. The Central Limit Theorem for proportions says that the sampling distribution of the proportion of people who show up on time for their flight will have a Normal shape. (a) Give the center and standard error for the sampling distribution of proportions. Round to four decimal places as needed. mean = and standard error = (b) What is the probability that at least 88% of the randomly selected booked passengers showed up on time? P(ˆp ≥0.88)= (c) What is the probability that between 82% and 90% of the randomly selected booked passengers showed up on time? P(0.82≤ˆp ≤0.9)= (d) Is 83% an unusually low percentage of…
Assume that different groups of couples use a particular method of gender selection and each couple gives birth to one baby. This method is designed to increase the likelihood that each baby will be a girl, but assume that the method has no effect, so the probability of a girl is 0.5. Assume that the groups consist of 26 couples. Complete parts (a) through (c) below. a. Find the mean and the standard deviation for the numbers of girls in groups of 26 births. The value of the mean is μ = (Type an integer or a decimal. Do not round.). The value of the standard deviation is o= 0 (Round to one decimal place as needed) b. Use the range rule of thumb to find the values separating results that are significantly low or significantly high. Values of girls or fewer are significantly low. tion Viewer (Round to one decimal place as needed.) Values of airls or areater are significantly high.
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Consider the idea of a sampling distribution in the case of a very small sample from a very small population. The population is 10 students in a certain class: Student 1 3 4 6. 7 8 9. Weight 136 99 118 129 125 170 130 128 120 147 The mean weight in pounds u in this population is the parameter of interest. la) Finish filling in the frequency distribution table: Counts (Frequency) 90-109.9 1 110-129.9 130-149.9 150-169.9 170-179.9 Total: 10 1b) Find the population mean u.
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