It is claimed that a random sample of 100 tyres with a mean life of 15269 kms is drawn from a population of tyres which has a mean life of 15200 kms and a standard deviation of 1248 kms. Test the validity of the claim at (i) 5% and (ii) 1% level of significance.
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- A quality control expert at a local dairy claims that its cartoons contain more than 64oz of milk a sample of 15 cartoons reveals a mean of 65 and 1.1 oxs respectively. At the 1% level, does the appropriate hypothesis support his claim? find and interpret the p valueThe General Electric Company clams that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacturer if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.The quality-control manager at a light bulb factory needs to determine whether the mean life of a large shipment of light bulbs is equal to 375 hours. The population standard deviation is 100 hours. A random sample of 64 light bulbs indicates a sample mean life of 350 hours. a) At the 0.05 level of significance, is there evidence that the mean life is different from 375hours?
- A cereal company claims that the mean weight of the cereal in itspackets is at least 14 oz. Assuming that a hypothesis test to reject this claim has been conducted and that the conclusion is to reject the null hypothesis, state the conclusion in nontechnical terms.The General Electric Company claims that the life of LED light bulbs are has a mean life of 500 hours with the standard deviation of 50 hours. Test the claim of the manufacture if a random sample of 80 LED light tested and found out to be 450 hours only. Use 5% level of significance.From a sample of 100 tires the mean lifetime was 46,000 miles with a standard deviation of 5,500 miles. Test the hypothesis μ= 45,000 against that the mean lifetime is greater than 45,000 at the 05 and 01 level of significance.
- The U.S. Center for Disease Control reports that in year 1900, the mean life expectancy is 48 years for whites and 46.9 years for nonwhites with a stanard deviation of 11.1 years and the nonwhites had a stanard deviation of 15.6 years. Suppose the representative populations were 29,000 whites and 96,000 nonwhites. Conduct a hypothesis test at the 0.1 level of significance to determine whether there was no difference in mean life spans in the county for whites and nonwhites in year 1900. Preliminary: Is nw≥30 and nnw≥30 ? Yes No Test the claim: Determine the null and alternative hypotheses. H0H0: μw μnw HaHa: μw μnw Determine the test statistic. Round to four decimal places.z= Find the pp-value. Round to 4 decimals.pp-value = Make a decision. Reject the null hypothesis. Fail to reject the null hypothesis. Write the conclusion. There is not sufficient evidence to support the claim that whites and nonwhites have different mean life spans. There is sufficient…A cereal company claims that the mean weight of the cereal in its packets is not 12 oz. Identify the null hypothesis Ho.