Our research group is developing a chemically treated natural fiber for its tensile strength properties. Forty pieces were tested under similar conditions and the results showed an average tensile strength of 500.05 MPa and a standard deviation of 80.55 MPa. What is the lower bound of the tensile strength (in MPa) at a one-sided 99% confidence level? O 464.30 O 469.60 O 466.90 O 470.42
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- YouTube would like to test the hypothesis that the average length of an online video watched by a user is more than 6 minutes. A random sample of 40 people watched online videos that averaged 6.6 minutes in length. It is believed that the population standard deviation for the length of online videos is 1.7 minutes. YouTube would like to set a 0.10. The critical value for this hypothesis test would be = OA) -1.96 B) 1.96 C) 1.645 D) 1.28A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 62 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). Zo = - 1.65 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. B. O C. Fail to reject H- Fail to reject Ho Fail to reject Ho- Reject Ho Reject Ho Reject Ho Reject H,- -4The axial load of an aluminum can is the maximum weight the sides can support before giving way. A soft drink manufacturer is testing aluminum cansthinner. A sample of 77 of these cans provided an average axial load equal to 48.72pounds. It is known that currently used cans have an average load of 48 pounds and astandard deviation of 23.23 pounds. Assuming the manufacturer wants to test whether the axial loadaverage of thinner cans is 48 against the hypothesis that average axial load of thinner cansfines is less than 48, tick the alternative corresponding to the p-value for the test. (a) 0.1968(b) 0.3936(c) 0.6064(d) 0.3503(e) 0.0890
- A new concrete mix is being designed to provide adequate compressive strength for concrete blocks. The specification fora particular application calls for the blocks to have a mean compressive strength greater than 1350 kPa. A sample of 100 blocks is produced and tested. Their mean compressive strength is 1356 kPa and their standard deviation is 70 kPa. A test is made of Ho: u 1350. Is the following statement True or False? If the p-value calculated is not a small probability, then it can be concluded that the mean compressive strength is greater than 1350 kPa and that the blocks meet the specification. O True FalseA sample of 49 measurements of tensile strength for roof hangers are calculated to have a mean of 2.45 and a population standard deviation of 0.25. (Units are Newton's per square meter.) Determine the 95% confidence interval for mean tensile strength for all hangers. Answer: Lower End Point of the Conficence Interval: Upper End Point of the Confidence Interval:A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 771 hours. A random sample of 25 light bulbs has a mean life of 752 hours. Assume the population is normally distributed and the population standard deviation is 55 hours. At α=0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e).
- One method for straightening wire prior to coiling it to make a 6. (Hypothesis Test, 2 spring is called "roller straightening". Suppose that a sample of 30 wires is selected and each is tested to determine tensile strength (N/mm²). The resulting sample mean and sample standard deviation are 2175 and 35, respectively. It is known that the mean tensile strength for spring made using spinner straightening is 2148 N/mm². (1) What is the random variable X in this problem? What does the mean µ of X represent? (2) What null hypothesis and alternative hypothesis should be tested in order to determine if the mean tensile strength for the roller method is better than the mean tensile strength for spinner method? (3) Is this one-tailed or two-tailed test? (4) What test statistic should be used to test the hypotheses? Is a normality assumption of the population necessary? Why? (5) At the significance level a = 0.05, compute the rejection region (RR). (6) Compute the value of your test statistic…3rACtice find their mean wage to be $14.50 / hour. Assume that it is known that wages are normally distributed with a true standard deviation of $5.00. Researchers studying wages in New York State survey 150 fast food workers and a) Find a 99% lower confidence bound for the true mean hourly wages for fast food workers in New York State. b) Perform a hypothesis test of Ho: µ = 15 vs. Ha: µ # 15. with a = .1. What is your conclusion? c) If the true mean wage is $14, what sample size is needed to ensure that the type 2 error is not above 30%?An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 33 newborn babies has a mean weight loss of 6.2 ounces. The population standard deviation is 1.5 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the P -value method with tables. hello there are five parts to the question it asks to state the hypothessis and identify the claim it asks to compute the test value find the p value and choose the null hypothesis
- An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 30 newborn babies has a mean weight loss of 6.4 ounces. The population standard deviation is 1.6 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the critical value method with tables. hello there are five parts to the question it asks to state the hypothesis compute the test value find the p value and to summarize the results thank you!An obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 30 newborn babies has a mean weight loss of 6.4 ounces. The population standard deviation is 1.6 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the critical value method with tables. hello the question askas to find the critical value compute the test value and select the hypothesisAn obstetrician read that a newborn baby loses on average 7 ounces in the first two days of his or her life. He feels that in the hospital where he works, the average weight loss of a newborn baby is less than 7 ounces. A random sample of 35 newborn babies has a mean weight loss of 6.8 ounces. The population standard deviation is 1.3 ounces. Is there enough evidence at =α0.01 to support his claim? Assume that the variable is normally distributed. Use the critical value method with tables. hello there are five parts to this it asks to state the hypothesis find the critcal value compute the test value determine whether to reject or not the null hypothesis