Let โRโ be a relation defined on a set of integers Z as follows:
โ ๐, ๐ โ ๐, ๐๐ ๐ iff ๐ = a^r
for some integer ๐. Show that R is a partially
ordered relation.
Activity 2
Find the rejection region for each hypothesis test based on the information given.
1 Hโ ฮผ = 121
Hah > 121 ฮ ฮผ=986
2. Ho:ฮผ=986 แป Hai =27
HaiH <27
a= 0.01
a= 0.05 a= 0.05
n=34
known unknown
n=25 n=12
a known
ASSESSMENT
Perform as indicated
In numbers 1-5, find the critical valuets) and rejection remonts) for the type of z-test with level of significance a Include a graph with your answer
1 Left -tailed test, a=0.03
2 Right-tailed test = 0.05
3 Two-tailed test, a = 0.02
4 Two-tailed test, a = 0.10 5 Left-tailed test, a=0,09
In numbers 6-9, state whether each standardized test statistic z allows you to reject the null hypodesis Explain your reasoning
6. z=-1301 7 z=1203
8 2 1.280 9 2=1.286
10 A fast food restaurant estimates that the mean sodium content in one of its breakfast sandwiches is no
more than 920 milligrams A random sample of 44 breakfast sandwiches has a mean sodium content of 925 milligrams Aanume the population standard deviation is 15 milligrams At a=0.10, do you have enough evidence to reject the restaurant's claim?
Activity 3 region
Find the critical value of each given problem. Skatch the curve and shade the wjection
1 14-90
The sample mean is 69 and simple size is 35 The population follows a normal distritsation with standard deviation 5 Usca w 0.05
2. A redaurant cashier claimed that the average amount spent by the endomers for dinner is P125.00 Over a month period, a sample of 50 customers was selected and it was found that the everage amount spent for dinner was P130.00 Using 005 level of significance can it be concluded that the average amount spent by customers is more than P125.00 Astose that the population standard deviation is 7.00
A broken leg about 1.2kg in mass receives an equivalent dose of 0.40 mSv. (For x-rays RBE =1.0 Sv/Gy or 1.0 rem/rad)
(a) Find the equivalent dose in mrem
(b) What is the absorbed dose in mrad?
(c) What is the absorbed dose in mGy?
(d) If the x-ray energy is 50keV, how many x-ray photons are absorbed?
A car moving with a velocity of 54 km/h accelerate uniformly at the rate of 2 m/sยฒ. Calculate the time taken to cover this distance
Find the scattered wavelength for a 71 picometer x-ray is incident on a calcite target. What is the maximum shift that can be observed in this experiment?
Write the steps in the complete ionization of the following polyprotic acids.
A. H2CO3
B. H3BO3
Instructions:
Sample Results:
Input
Multiple lines containing an integer.
2
6
Output
Multiple lines containing an integer.
4
36
Create a structure called fraction. It has two members, both type int, called numerator and
denominator. Write a program that input values in two variables of type fraction. Add both
fractions and print the result in fraction format.