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the average weight of randomly selected 28 adult males was 65kigs. with standard deviation of 2.2 kgs. find a 99% confidence interval
the average height of randomly chosen 45 female students was 155cm. with standard deviation of 3.5 cm find the 95% confidence interval
the aptitude test was administered to random sample of 120 SHS students. the sample mean was 104.2 with standard deviation of 12. find 99% confidence interval
A supermarket owner believes that the mean income of its customers is P50,000 per month.One-hundred customers are randomly selected and asked of their monthly income.The sample mean is P48,500 per month and the standard deviation is P3,200.Is there sufficient evidence to indicate that the mean income of the customers of the supermarket is P50,000 per month? Use a=0.05
The average public high school has 468 students with a standard deviation of 87.
a. If a public school is selected what is the probability that the number of student enrolled is greater than 400?
b. If a random sample of 38:public elementary schools is selected what is the probability that the number of students enrolled is between 445 and 485?
In building an arena, steel bars with a mean ultimate tensile strength of 400 Megapascal (MPa) with a variance of 81 MPa were delivered by the manufacturer. The project engineer tested 50 steel bars and found out that the mean ultimate tensile strength is 390 MPa. The decision for the extension of the contract with the manufacturer depends on the engineer. Test the hypothesis whether or not there is no significant difference between the two means using a two-tailed test with α = 0.01.
What are the appropriate hypotheses for the two-tailed test?
What is the test statistic to be used and the reasons for its selection?
What is the critical value c?
What is the value of the test statistic or the computed value?
Formulate a conclusion about the given situation.
Suppose there are three people to tested positive in COVID 19. Let P represent positive and N represent negative and Z be the random variables representing the number of infected person that occur. Answer the following
1. What are the different sample space list all
2. What are the values of random variables
3. Creat
5.19 As a student drives to school, he encounters a traffic signal. This traffic signal stays green for 35 sec- onds, yellow for 5 seconds, and red for 60 seconds. As- sume that the student goes to school each weekday between 8:00 and 8:30 a.m. Let X1 be the number of times he encounters a green light, X2 be the number of times he encounters a yellow light, and X3 be the number of times he encounters a red light. Find the joint distribution of X1 , X2 , and X3 .
About 24% of the population claim blue as their favorite color. Suppose a random sample of 56 students were surveyed, and 12 of them said that blue is their favorite color. Test the hypothesis that the color preference of all college students is different from that of the population. Use a 5% significance level.
(a) State the null and alternative hypotheses.
(b) Calculate the test statistic.
(c) Find or estimate the p-value for the test.
(d) State and interpret your conclusion.
corporation that owns apartment complexes wishes to estimate the average length of time residents remain in the same apartment before moving out. A sample of 150 rental contracts gave a mean length of occupancy of 3.7 years with standard deviation 1.2 years. Construct a 95% confidence interval for the mean length of occupancy of apartments owned by this corporation.
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#340153 on Dec 2023