In October 2024
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For this test, do the following.
(a) Identify the claim and state H0 and Ha.
(b) Determine whether the hypothesis test is left-tailed, right-tailed, or two-tailed, and whether to use a z-test, a t-test, or a chi-square test. Explain your reasoning.
(c) Choose one of the options. If convenient, use technology.
Option 1: Find the critical value(s), identify the rejection region(s), and find the appropriate standardized test statistic.
Option 2: Find the appropriate standardized test statistic and the P-value.
(d) Decide whether to reject or fail to reject the null hypothesis.
(e) Interpret the decision in the context of the original claim.
2.The U.S. Department of Agriculture claims that the mean annual consumption of tea by a person in the United States is 8.9 gallons. A random sample of 60 people in the United States has a mean annual tea consumption of 8.2 gallons. Assume the population standard deviation is 2.2 gallons. At a = 0.10, can you reject the claim?
Find the value of the finite population correction factor given the following N=3,000 and N=360
Identify the t-value whose number of samples n = 25, area = 0.01
n = 30 area = 0.005
n = 27 , area = 0.0025
n = 35 area = 0.0010
USE A SHORT BOND PAPER
n = 40 area = 0.0005
SHOW YOUR SOLUTIONS
T
he time
that
a laptop battery lasts in everyday use before recharge is needed
is normally
distributed, with a mean of 270 minutes
and
a standard deviation o
f 55 minutes.
a) What is the probability that the battery lasts
more than four hours?
b) What value of
battery
life in minutes is exceeded with 95 % probability?
c) What is the probability
that
the battery lasts exactly
300 minutes?
According to one survey in India, 75% of Instagram users love REELS. Suppose that 25 Instagram users (randomly selected) have been approached in the university located in vile parle. They have been asked about their status of like/ dislike the Instagram- REELS. a) What is the probability that Exactly 15 of them would agree with the claim (or said they love Insta-REELS)? b) What is the probability that Exactly 20 of them would agree with the claim (or said they love Insta-REELS)?
(4.6 4.5 4.7 4.6 4.5 4.6 4.3 4.6 4.8 4.2
4.6 4.5 4.7 4.5 4.5 4.6 4.6 4.6 4.8 4.6)
1. Use the ungrouped data that you have been
supplied with to complete the following:
(a) Arrange the data into equal classes
(b) Determine the frequency distribution
(c) Draw the frequency histogram
(d) Create a cumulative frequency table for
the data
(e) Draw the cumulative frequency graph
(f) Use your cumulative frequency graph to
determine if the data is normally distributed
or not?
(g) Calculate: i) the mean and standard
deviation; li) the upper and lower quartile
values; and ili) the interquartile range for the
given data.
question2:
Force (N) 0 20 40 60 80
Length (mm) 22 110 215 330 410
Use the table of measurements of length and
force that you have been supplied with to
complete the following activities:
(a) Draw a scatter graph for your given data.
Describe what the scatter graph is indicating.
(b) Use the scatter graph to estimate the
length for a force of 57N
(c) Calculate the line of regression of
extension on force (Y on X)
(d) Calculate the regression coefficient
(e) Explain what the regression coefficient
indicates?
(f) Use the equation for the line of regression
to predict the length for a force of 57N
(g) Compare the calculated value with the
value that you have determined from the
scatter graph.
1) use the data to:
(4.6 4.5 4.7 4.6 4.5 4.6 4.3 4.6 4.8 4.2
4.6 4.5 4.7 4.5 4.5 4.6 4.6 4.6 4.8 4.6 )
(a) Arrange the data into equal classes
(b) Determine the frequency distribution
(c) Draw the frequency histogram
(d) Create a cumulative frequency table for the data
(e) Draw the cumulative frequency graph
(g) Calculate: i) the mean and standard deviation; ii) the upper and lower quartile values; and iii) the interquartile range for the given data.
2. use to the data to :
(Force (N) 0 20 40 60 80
Length (mm) 22 110 215 330 410)
(a) Draw a scatter graph for your given data. Describe what the scatter graph is indicating.
(b) Use the scatter graph to estimate the length for a force of 57N
(c) Calculate the line of regression of extension on force (Y on X)
(d) Calculate the regression coefficient
(e) Explain what the regression coefficient indicates?
(f) Use the equation for the line of regression to predict the length for a force of 57N
It is claimed that the average age of working students in a certain university is 35 years. A researcher selected a random sample of 49 working students. The computation of their ages resulted to an average of 32 years with a standard deviation of 10 years. Does this mean that the average age of the working students is different from 35 years? Use 0.05 level of significance and assure normality of population.
The average length of time for student to register summer classes at a certain university has been 50 minutes with a standard deviation of 10 minutes. A new registration procedure using modern computing machine is being tried. If a random sample of 12 students had a n average registration of 42 minutes with a standard deviation of 11.9 minutes under the new system, test the hypothesis that the population mean is now less than 50 minutes. (critical value is +/- 1.796)
A population consists of the elements 3, 5, 7, 8, and 10. What is the population variance?
Round off your answer to the nearest hundredths.
#339914 on Dec 2023