A manufacturer of sports equipment has developed a new synthetic fishing line that he claims has a mean breaking strength of 8 kg with a standard deviation of 0.5 kg. A random sample of 50 lines were tested and found to have a mean breaking strength of 7.8 kg. With this, does the manufacturer has reasons to believe that the mean breaking strength of the new synthetic fishing line deviates from what he claims?Make a statistical conclusion?There is no enough evidence to say that the claim is accurate.There is no enough evidence to say that the mean breaking strength of the new synthetic fishing line varies from 8 kg.There is enough evidence to say that the mean breaking strength of the new synthetic fishing line varies from 8 kg.There is enough evidence to say that the claim is accurate.

A manufacturer of sports equipment has developed a new synthetic fishing line that he claims has a mean breaking strength of 8 kg with a standard deviation of 0.5 kg. A random sample of 50 lines were tested and found to have a mean breaking strength of 7.8 kg. With this, does the manufacturer has reasons to believe that the mean breaking strength of the new synthetic fishing line deviates from what he claims?Determine the type of test to use.z testTwo tailed testRight tailed testLeft tailed testt test

b) Distinguish between Type I and Type II error. The breaking strengths of cables produced by a manufacturer have mean 1800 lb and standard deviation 100 lb. By a new technique in the manufacturing process, it is claimed that the breaking strength can be increased. To test this claim, a sample of 50 cables is tested, and it is found that the mean breaking strength is 1850 lb. Can we support the claim at 1% level of significance?

Context: A manufacturer of chocolate candies uses machines to package candies as they move along a filling line.Although the packages are labeled as 8 ounces,the company wants the packages to contain a mean of 8.17 ounces so that virtually none of the packages contain less than 8 ounces.A sample of 50 packages is selected periodically,and the packaging process is stopped if there is evidence that the mean amount packaged is different from 8.17 ounces.Suppose that in a particular sample of 50 packages,the mean amount dispensed is 8.168 ounces,with a sample standard deviation of 0.059 ounce.Complete parts(a)and(b). Click here to view page 1 of the critical values for the t Distribution. Click here to view page 2 of the critical values for the t Distribution. 。○ State the null and alternative hypotheses H0μ=8.17 H1μ≠8.17 (Type integers or decimals.) Identify the critical value(s). The critical value(s)is(are)-2.6800,2.6800 (Round to four decimal places as needed.Use a comma to separate answers as needed.) Determine the test statistic. Determine the​ p-value and interpret its meaning. The​ p-value is

A consumer products company is formulating a new shampoo and interested in studying the mean foam height (in mm). Assume the foam height approximately follows a normal distribution with known variance of  σ2 = 400 mm2. A random sample of 9 such new shampoos results in a mean foam height 165 mm. Test if there is sufficient evidence to support the claim that the mean foam height of the new shampoo is different from 160.5 mm at α = 0.05. Which of the following statements is INCORRECT?

The average breaking strength of steel rods is required to be at least 35,000 psi. Based on historical information, the standard deviation of breaking strength is 1,500 psi. A random sample of 4 specimens had the strength: piece one was 32,000, piece two was 36,000, piece three was 34,000, and piece four was 34,500. What will be null and alternate hypothesis in this case?a.H0: µ = 35,000 psi  and  H1: µ ≠ 35,000 psib.H0: µ ≥ 35,000 psi  and  H1: µ < 35,000 psic.H0: µ > 35,000 psi  and  H1: µ < 35,000 psid.H0: µ ≥ 35,000 psi  and  H1: µ = 35,000 psi