To gauge their fear of going to a dentist, a random sample of adults completed the Modified Dental Anxiety Scale questionnaire (BMC Oral Health, Vol. 9, 2009). Scores on the scale range from zero (no anxiety) to 25 (extreme anxiety). The mean score was 11 and the standard deviation was 4. Assume that the distribution of all scores on the Modified Dental Anxiety Scale is approximately normal with μ = 11 and σ = 4. Complete parts a through c below.a. Suppose you score a 10 on the Modified Dental Anxiety Scale. Find the z-value for this score.\[ z = \frac{10 - 11}{4} = -0.25 \](Round to two decimal places as needed.)b. Find the probability that someone scores between 10 and 16 on the Modified Dental Anxiety Scale.The probability is ___. (Round to four decimal places as needed.)[Note: The image does not contain any graphs or diagrams.]

From the provided information, Mean (µ) = 11 Standard deviation (σ) = 4 X~N (11, 4) Here X be a…

Answered: To gauge their fear of going to a…

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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Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 51 fish caught, the mean length was x = 18.4 inches, with estimated standard deviation s = 3.5 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. (a) What is the level of significance? State the null and alternate hypotheses. Ho: 19 in Ho: M = 19 in; H₁: μ # 19 in 1 Ho: M = 19 in; H₁: μ 19 in; H₁: μ = 19 in (b) What sampling distribution will you use? Explain the rationale for your choice of sampling distribution. The Student's t, since the sample size is large and o is unknown. The Student's t, since the sample size is large and σ is known. The standard normal, since the sample size is large and σ is known. The standard normal, since the sample size is…
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Pyramid Lake is on the Paiute Indian Reservation in Nevada. The lake is famous for cutthroat trout. Suppose a friend tells you that the average length of trout caught in Pyramid Lake is μ = 19 inches. However, a survey reported that of a random sample of 46 fish caught, the mean length was x = 18.6 inches, with estimated standard deviation s = 3.4 inches. Do these data indicate that the average length of a trout caught in Pyramid Lake is less than μ = 19 inches? Use α = 0.05. What is the value of the sample test statistic? (Round your answer to three decimal places.)Estimate the P-value. a) P-value > 0.250 b) 0.100 < P-value < 0.250 c) 0.050 < P-value < 0.100 d)0.010 < P-value < 0.050 e) P-value < 0.010 Sketch the sampling distribution and show the area corresponding to the P-value. Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Are the data statistically significant at level α? a) At the α = 0.05…
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