Proportions
A medical researcher believes that more than 20% of U.S. adults are smokers. To test this claim, he takes a SRS of 250 U.S. adults and finds that 21.6% are smokers. Test his claim at the .05 significance level.
Ho: p=.2 Ha: p>.2
Since p-value > .05, we fail to reject Ho
We have convincing evidence that the study does not support the claim that more than 20% of U.S adults are smokers
It is reported that the mean height of Americans is 175 inches. A random sample of 51 Americans is conducted and found a mean height of 176 inches with a standard deviation of 2.5 inches. Conduct a hypothesis test to see if the mean height for Americans has increased. Use a 0.05 significance level.
Ho: M=175 Ha: M>175
Since p-value < .05 we reject Ho
We have convincing evidence that the study supports the claim that the mean height of Americans has increased
A random sample of 100 pairs of ladies/ shoes had a mean size of 8.3. Assume the population standard deviation is 1.5. Can you conclude that the mean size of ladies/ shoes differs from 8? Use the .01 level of significance.
Ho: M=8 Ha: M≠8
Since p-value > .01, we fail to reject Ho
We have convincing evidence that the study does not support the claim that the mean size of ladies/ shoes differs from 8
What grade does a supplemental instruction leader have to have in the course they want to support?
A
Which avenger can change their size?
Antman
A leading research firm reports that 33% of young adults have completed a college degree. One state leader who is trying to create more scholarship money for college believes that the rate is lower than that in his state. The state leader commissions a study that surveys 500 young adults in the same age bracket as the national study to see if they have completed a college degree. Of the 500 interviewed, 152 have completed a college degree. Conduct a hypothesis test to see if the state leader has evidence to support his claim
Ho: p=.33 Ha: p<.33
Since p-value > .05, we fail to reject Ho
We have convincing evidence that the study does not support the claim that the rate for young adults completing a college degree is less than 33%
An advocacy group that provides services to families believes that the average household size in the U.S. has decreased in the last few years. In 2002, it was reported that the mean household size was 2.58 people. A random sample of 41 homes is conducted and found a mean size of 2.5 people with a standard deviation of 0.1. Conduct a hypothesis test to the claim of the advocacy group.
Ho: M=2.58 Ha: M<2.58
Since p-value < .05, we reject Ho
We have convincing evidence that the study supports the claim that the average household size in the U.S has decreased in the last few years
p-value is in scientific notation
A nationally recognized IQ test has a mean of 100 and population standard deviation of 15. The Superintendent of the Reallysmart School District believes that the students in his district have a higher IQ. He takes a SRS of 100 students and finds that the sample mean is 101. Test his claim at the .05 significance level
Ho: M=100 Ha: M>100
Since p-value > .05 we fail to reject Ho
We have convincing evidence that the study does not support the claim that the mean IQ for students at Reallysmart school are higher than the national average at a significant level
Both SI leaders and LA's are required to meet with their Faculty members at least once a week
True or False
True
Who is the arch nemesis of spider man?
Green Goblin
The city management company claims that 75% of all low income housing is 1500 sq. ft. The tenants believe the proportion of housing this size is smaller than the claim, and hire an independent engineering firm to test an appropriate hypothesis. He finds that among a random sample of 230 public housing units, 172 of them are 1500 sq. ft. Is the tenants claim substantiated by this report? Test at the .01 level of significance.
Ho: p=.75 Ha: p<.75
Since p-value >.05, we fail to reject the Ho
No, the tenants claim is not substantiated by this report
A government report indicates that in 2012 the mean cost for a normal delivery of a baby was $9775. A consumer group believes that one particular hospital group has lower mean for baby delivery costs. The take a random sample of the costs for 40 deliveries in the past year with this particular hospital group and finds a mean cost of $9, 700 with a standard deviation of $325. Conduct a hypothesis test at the .05 significance level to test
the claim of the consumer group
Ho: M=9,775 Ha: M<9,775
Since p-value > .05, we fail to reject Ho
We have convincing evidence that the study does not support the claim that the mean cost of having a baby is significantly lower for this hospital group
The volumes of soda in quart soda bottles can reportedly be described by a Normal model with a mean of 32.3 oz and a population standard deviation of 1.2 oz. A consumer advocate group thinks that the volume is actually less than that. They take a SRS of 50 bottles and find a sample mean of 32.1 oz. Test the claim of the advocate group at the .05 significance level.
Ho: M=32.3 Ha: M<32.3
Since p-value >.05, we fail to reject Ho
We have convincing evidence that the study does not support the claim that the volume of soda bottled for this brand is significantly less than what is reported
True or False
Bonus: What does DFW stand for?
True
D F and withdrawal
What is the first movie in timeline order of the MCU?
Captain America: The First Avenger
A test is made with H0: p = 0.55 and H1: p > 0.55. The true value of p is 0.55 and the null is not rejected. Is this a type I error, type II error, or a correct decision?
Correct decision
A test is made with H0: mu = 450 and H1: mu > 450. The true value of mu is 456 and the null is rejected. Is this a type I error, type II error, or a correct decision?
Correct decision
LA's work 5-6 hours a week
True or False
True
Who did Thanos sacrifice for the soul stone?
Gamora
A test is made with H0: p = 0.83 and H1: p ≠ 0.83. The true value of p is 0.0.79 and the null is not rejected. Is this a type I error, type II error, or a correct decision?
Type ll error
A test is made with H0: mu = 215 and H1: mu < 215. The true value of mu is 215 and the null is rejected. Is this a type I error, type II error, or a correct decision?
Type l error
True or False
True
In what movie did Black Widow make her first appearance?
Iron Man 2