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4. Perform a hypothesis test: A mattress company claims that more than 80% of its mattresses...
A company claims that their lightbulbs last an average of 400 days. To test this claim,...
A company claims that their lightbulbs last an average of 400 days. To test this claim, a random sample of 25 lightbulbs is tested and it is observed that they last for an average of 380 days with a standard deviation of 60 days. Part A) Assuming that the population of the time to failure of all lightbulbs is normally distributed, test the null hypothesis that the average life-length of their lightbulb is 400 days against the alternative that it...
A credit card company claims that the mean credit card debt for individuals is greater than...
A credit card company claims that the mean credit card debt for individuals is greater than $ 5,000. You want to test this claim. You find that a random sample of 34 cardholders has a mean credit card balance of $ 5,228 and a standard deviation of $ 550. At alpha equals 0.10, can you support the claim? Complete parts (b) through (e) below. Assume the population is normally distributed. (b) Find the critical value(s) and identify the rejection region(s)....
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been...
Perform hypothesis tests on the following five problems. Assume that a simple random sample has been selected from a normally distributed population and test the given claim. Identify the hypotheses, test statistic, critical value(s), decision about the null hypothesis, and final conclusion. Claim: The mean IQ score of statistics professors is greater than 135. Sample data: n= 25, ?̅ = 137, s =15. The significance level is α = 0.05.
6. An insurance company claims that the average automobile on the road today is less than...
6. An insurance company claims that the average automobile on the road today is less than 4 years old. A random sample of 15 cars had an average age of 5.4 years with a standard deviation of 1.1 years. Assume that the population is normally distributed. Test the claim at ∝= 0.05
A fitness magazine claims that the mean cost of a yoga session is not more than...
A fitness magazine claims that the mean cost of a yoga session is not more than $13. You work for a consumer group and are asked to test this claim. You find that a random sample of 27 yoga sessions has a mean cost of $14.32 and a standard deviation of $2.40. At ?-0.025, do you have enough evidence to reject the magazine's claim? Assume the population is normally distributed. a. Ho HA b. Find the critical value (s) and...
For each of the problems below perform an hypothesis test. State the null and alternative hypothesis, the p-value and your conclusion in context of the problem. Perform each test at a .05 significance...
For each of the problems below perform an hypothesis test. State the null and alternative hypothesis, the p-value and your conclusion in context of the problem. Perform each test at a .05 significance. 1. A manufacturer of a plasticised line used in home-assembly mobiles advertises that their product has an average tensile strength of 30 kilograms (this is a measure of how strong the product is). You took a sample of 144 sections of the line and tested them. The...
In a small city renowned for its music school, claims that the average child takes at...
In a small city renowned for its music school, claims that the average child takes at least 5 years of piano lessons. Georgianna, a board member, claims this number is too high. Using a random sample of 20 children from the city, with a mean of 4.6 years of piano lessons and a standard deviation of 2.2 years, evaluate Georgianna’s claim using a hypothesis test at a 0.10 level of significance. *Assume that the distribution of years of piano lessons...
Test the claim about the mean of the differences for a population of dependent (paired) data...
Test the claim about the mean of the differences for a
population of dependent (paired) data at the level of significance
α. Please remember to include all 5 parts of a hypothesis test
mentioned in the module summary. Assume the samples are random and
dependent, and the populations are normally
distributed.
Exercise 9. Fuel efficiency. A researcher claims that the fuel efficiency of automobiles can be improved by using a fuel additive. A random sample of ten automobiles was selected....
Question number 7 The ABC battery company claims that their batteries last 100 hours, on average....
Question number 7 The ABC battery company claims that their batteries last 100 hours, on average. You decide to conduct a test to see if the company's claim is true. You believe that the mean life may be different from the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n 20 batteries. Some of the information related to the hypothesis test is presented below. Test of...
An industrial company claims that the mean PH level of the water in a nearby river...
An industrial company claims that the mean PH level of the water in a nearby river is 6.8. You randomly selected 16 water samples and measure the PH of each. The sample mean and standard deviation are 6.7 and 0.24, respectively. Is there enough evidence to reject the company's claim at 05? Assume the population is normally distributed. Set up appropriate hypotheses, calculate your test statistic, find the rejection region or P-value and make the final conclusion.
A fitness magazine claims that the mean cost of a yoga session is not more than $13. You work for a consumer group and are asked to test this claim. You find that a random sample of 27 yoga sessions has a mean cost of $14.32 and a standard deviation of $2.40. At ?-0.025, do you have enough evidence to reject the magazine's claim? Assume the population is normally distributed. a. Ho HA b. Find the critical value (s) and...
Test the claim about the mean of the differences for a
population of dependent (paired) data at the level of significance
α. Please remember to include all 5 parts of a hypothesis test
mentioned in the module summary. Assume the samples are random and
dependent, and the populations are normally
distributed.
Exercise 9. Fuel efficiency. A researcher claims that the fuel efficiency of automobiles can be improved by using a fuel additive. A random sample of ten automobiles was selected....
Question number 7 The ABC battery company claims that their batteries last 100 hours, on average. You decide to conduct a test to see if the company's claim is true. You believe that the mean life may be different from the 100 hours the company claims. You decide to collect data on the average battery life (in hours) of a random sample of n 20 batteries. Some of the information related to the hypothesis test is presented below. Test of...
An industrial company claims that the mean PH level of the water in a nearby river is 6.8. You randomly selected 16 water samples and measure the PH of each. The sample mean and standard deviation are 6.7 and 0.24, respectively. Is there enough evidence to reject the company's claim at 05? Assume the population is normally distributed. Set up appropriate hypotheses, calculate your test statistic, find the rejection region or P-value and make the final conclusion.
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