8.2.7. Let X₁, X2,..., X25 denote a random sample of size 25 from a normal dis-tribution N(0, 100). Find a uniformly most powerful critical region of size a = 0.10for testing Ho: 0= 75 against H₁ : 0> 75.

Answered: Image /qna-images/answer/00f632fe-5505-4c7b-a70b-94181a5b4d6a.jpg

Answered: 8.2.7. Let X₁, X2,..., X25 denote a…

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

See similar textbooks

Similar questions

What is the minimum information that you need to calculate an n^2 effect size from a reported independent samples t test? a. s_(1 )^2, s_2^2 and n_1, n_2b. t and dfc. The M_1 - M_2 value and s_pd. None of the above My answer: B Professor wrote please explain your answer?
Consider a population of values described by X ~ N(20, 92) For a specific sample of size n = 15, we have X-bar = 22.4. Find the Z-score for the X-bar value.
7. has been found that the distribution of the diameters of these tomatoes is roughly bell-shaped with light-tails. In order to test whether a new growth hormone produces larger tomatoes, a botanist decides to conduct a hypothesis test. If u denotes the true mean of tomatoes with the growth hormone and u2 denotes untreated tomatoes, then her hypotheses are Ho : 41 = µ2 vs. HA : µ1 > 42. She randomly samples 6 tomatoes, applies the new growth hormone to 3 of them, and measures the following diameters (in cm). Suppose that a certain species of tomato plant has been extensively studied. It Experimental Group 12.7 13.4 13.9 Control Group 9.7 10.4 13.1 (a) Explain why the two-sample t-test is the appropriate hypothesis test for the botanist to perform. (b) Based on the two sample t-test, is there sufficient evidence to reject Ho in favour of HA at the a = 0.15 significance level?
Find the t values that form the boundaries of the critical region for a two-tailed test with α = .05 for each of the following sample sizes: n = 6 n = 12 n = 48 Repeat parts 1–3 assuming a one-tailed test, α = .05 . Repeat parts 1–3 assuming a two-tailed test, α = .01.
Please help to solve
9
Serum nitrite concentrations (in μmol/L) were compared between a group of unmedicated HIV+ subjects (n =7) and a control group (n = 10). The HIV+ distribution is strongly skewed.a) Use a Wilcoxon-Mann-Whitney U test to determine if there is convincing evidence at α = 0.05 thatserum nitrite levels differ between the two populations. b) What would have been the U test p-value if researchers had instead hypothesized that serum nitriteconcentrations would tend to be larger in the HIV+ population? HIV+ Control 0.266 0.167 0.269 0.201 0.299 0.205 0.335 0.232 0.503 0.234 0.846 0.260 0.946 0.268 0.288 0.301 0.305
17.34 (EX) Oligofructose and calcium absorption 1/6: Nondigestible oligosaccharides are known to stimulate calcium absorption in rats. A double-blind, randomized experiment investigated whether the consumption of oligofructose similarly stimulates calcium absorption in healthy male adolescents 14 to 16 years old. The subjects took a pill for nine days and had their calcium absorption tested on the last day. The experiment was repeated three weeks later. Some subjects received the oligofructose pill in the first round and then a pill containing sucrose (which served as a control). The order was switched for the remaining subjects. Here are the fractional calcium absorption data (in percent of intake) for 11 subjects: Subject Control 1 2 3 4 5 6 7 8 9 10 11 78.4 76.6 57.4 51.5 49.0 46.6 44.2 42.9 37.2 34.1 24.6 Oligofructose 62.0 95.1 46.5 49.4 89.7 43.8 50.3 51.6 66.6 52.7 54.0 Explain clearly why the matched pairs t test is the proper choice for this experimental design. O Because this…
We wish to test the null hypothesis that the proportion of cancer deaths among people exposed to radioactive fallout in Utah in 1955 is equal to 0.15 versus the alternative hypothesis that the proportion differs from 0.15 using alpha = 0.05. What is the region of rejection for this test for sample of size 20? Reject Ho if y in { LISTY VALUES HERE }
The number of points held by a sample of the NHL’s highest scorers for both the Eastern Conference and the Western Conference is shown below. At α = 0.04, can it be concluded that there is a difference in means based on these data? Use the critical value method to test this. Eastern conference: 89, 62, 78, 58, 78, 59, 70, 51, 65, 67, 79 Western conference: 87, 59, 52, 58, 37, 67, 66, 55, 61 Show all the work and enter a critical value with 3-decimal places. show formulas and draw all curves.

Recommended textbooks for you

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability (10th Edition)

Probability

ISBN:

9780134753119

Author:

Sheldon Ross

Publisher:

PEARSON

A First Course in Probability

Probability

ISBN:

9780321794772

Author:

Sheldon Ross

Publisher:

PEARSON

SEE MORE TEXTBOOKS

8.2.7. Let X₁, X2,..., X25 denote a random sample of size 25 from a normal dis- tribution N(0, 100). Find a uniformly most powerful critical region of size a = 0.10 for testing Ho: 0= 75 against H₁:0> 75.