**Analyzing Confidence Interval Scenarios****Scenario 1:**Minnie owns a boutique that specializes in selling hair-bows and bow-ties. On a typical day, the boutique experiences numerous sales. These sales have an average selling price that is approximately normally distributed, with a standard deviation of $0.72. Minnie is interested in determining the average selling price of the products sold on a specific day. To achieve this, she investigated a sample of 36 sales from that day, discovering an average selling price of $4.78. Based on this data, a 93% confidence interval was constructed.In this scenario, students are tasked with deciding whether to use a **z** or **t** distribution for the confidence interval calculation, without performing any additional computations. Given that the standard deviation is known and the sample size is relatively large (n=36), the appropriate distribution for this scenario is likely the **z** distribution.

The 93% confidence interval for the average selling price of products sold on one day, will signify…

Answered: 2. For the following scenarios,…

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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Suppose you are working with a data set that is normally distributed, with a mean of 250 and a standard deviation of 46. Determine the value of x from the following information. (a) 70% of the values are greater than x. (b) x is less than 16% of the values. (c) 22% of the values are less than x. (d) x is greater than 55% of the values.
#2) A large warehouse installed a security system a few years ago. Under an older system the managers estimated that they were losing an average of $678 worth of goods to thieves each week. A random sample of 36 weekly records under the current system showed that they were still losing an average of $650 worth of goods each week. The sample standard deviation was s = $93. Does this indicate that the average loss is different (either more or less) than the previous $678 per week? Use a 5% level of significance.
please solve D, E, F with step by step solution. I am trying to understand No minitab and no excel answers.
The number of peanuts in a 16 ounce can of nut munchies is normally distributed with a mean of 93.6 and a standard deviation of 4.2 peanuts the number of peanuts in a 20 ounce can of gone nuts is normally distributed with a mean of 111.8 and a standard deviation of 3.4 peanuts. (a) Carmen purchased a 16 ounce can of nut munchies and counted 100 peanuts what is the Z score for this can of peanuts? (b) Angelo purchased a 20 ounce can of gone nuts and counted 116 peanuts what is the Z score for this can of peanuts? (c) Carmen declares that purchase purchasing her can of nut munchies with 100 peanuts is less likely than Angelo purchasing a can of gone nuts with 116 peanuts is Carmen statement correct? Use the definition of a Z score to support or refute Carmen's claim.
I attached.
A random sample of 100 drug dealers had a mean Wanting Recognition (WR) score of 39 points, with a standard deviation of 6 points. Recall that the WR score is a quantitative measure of a person’s level of need for approval and sensitivity to social situations. (Higher scores indicate a greater need for approval.) A criminal psychologist claims that the range of WR scores for the population of convicted drug dealers is 42 points. Do you believe the psychologist’s claim? (Hint: Assume the population of WR scores is normally distributed.)
A scientist has just been funded by the National Institutes of Health to conduct a very expensive study. As it happens, the budget has been cut. Therefore, the choice of laboratory for analysis of sample data is being re-visited. Suppose the choice is between laboratory “A” and “B”. Laboratory “A” has a standard deviation of one milligram and each sample analysis costs $3. Laboratory “B” has a standard deviation of two milligrams but each sample analysis costs $1. All other things being equal, is the principal investigator better off spending $9 on laboratory “A” or spending $9 on laboratory “B”?
→ 2. A consumer watchdog organization received customer complaints about the performance of one brand of batteries. To investigate, the researcher purchased 24 of these batteries and ran them until they died. This sample lasted a mean of 47 hours with a standard deviation of 3 hours. a. What assumption must we make about battery life in order to use a t model? #3 # 3 b. Find a 95% confidence interval for the mean lifespan of this brand of batteries. c. Write a conclusion based on your confidence interval. $ 4 % 5 < 6 6 DELL & 7 O 8 9 ) 0 Р
A standardized exam's scores are normally distributed. In a recent year, the mean test score was 1506 and the standard deviation was 317. The test scores of four students selected at random are 1940, 1230, 2190, and 1400. Find the z-scores that correspond to each value and determine whether any of the values are unusual. The z-score for 1940 is. (Round to two decimal places as needed.)
3 In the 1800s, German physician Carl Reinhold, took millions of axillary (i.e. armpit) temperatures from soldiers. This study established that body temperature is normally distributed and the standard normal human body temperature is 98.6℉ with a standard deviation of 0.72 ℉. In a recent study, American researchers obtained 5,000 axillary temperatures from a Los Angeles hospital. The mean of these temperature readings was 97.9 ℉. Assuming a Type I error risk of no more than 5%, did the findings support the theory that human, body temperature has decreased since the 1800s? What is the standard error? (round to nearest hundredth) What is the Z obt? (round to the nearest tenth)

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