A factory produces two types of artificial lamp A and B. The mean durability of artificial lamp A is 850 hours and its standard deviation is 40 hours. While, mean durability of artificial lamp B is 820 hours and its standard deviation is 60 hours. Find the probbality of 35 artificial lamp A will have mean durabilirty at least 25 hours more than 45 artificial lamp B.
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- A marıne biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 17 mature female pink seaperch collected in fall has a mean length of 111 millimeters and a standard deviation of 10 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 98 millimeters and a standard deviation of 12 millimeters. At a = 0.10, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. OC. "The mean length of mature female pink seaperch is the same in fall and winter." D. "The mean length of mature female pink seaperch is different in fall and winter." What are Ho and Ha? The null hypothesis, Ho, is µ1 =H2. The alternative hypothesis, Ha, is µ1 #42. Which hypothesis is the claim? The alternative hypothesis, Ha O The null hypothesis, Ho (b) Find the…A bakery owner is trying out new donut recipes that have less fat. The current recipe have an averafe fat of 175 grams. She bakes a dozen of each new donut recipe. The mean for new donut recipe number 1 is 184.5 grams of fat with a standard deviation of 11.5. The second new recipe has a mean of 165.2 grams of fat with a standard deviation of 10.2. For the first donut recipe find the values of the 99% confidence interval around the sample mean. We want to test to see if the second donut recipe differs from the average of 172 grams. Create a 95% confidence interval for the second donut recipe Can we say the second recipe is different than the current recipe?Two machines used to fill soft drink containers are being compared. The number of containers filled each minute is counted for 60 minutes for each machine. During the 60 minutes, machine 1 filled an average of 74.5 cans per minute with a standard deviation of 6.9 cans per minute, and machine 2 filled an average of 75 cans per minute with a standard deviation of 4.4 cans per minute. We want to test whether machine 2 is faster than machine 1. State the null and alternate hypotheses. O (a) H1 : µ2 H1, Ho : µ2 01 O (d) H1 : µ2 Hi O (e) H1 : µ2 H1 O (f) H1: 02 > 01 , Ho : 02 < oı Compute the P-value. number (rtol=0.1, atol=0.0001) Is machine 2 faster than machine 1? (Use a 9% significance level.) O (a) Reject Ho. O (b) Cannot reject Ho.
- The deaths attributed to UV radiation have a mean of 141.5 with a standard deviation of 92.1. Suppose in a given year there were 343 deaths attributed to UV radiation in a country. Is this value unusual? 343 deaths would be unusual since it is more than two standard deviations from the mean. 343 deaths would not be unusual since it is less than two standard deviations from the mean. 343 deaths would be unusual since it is less than two standard deviations from the mean. 343 deaths would not be unusual since it is more than two standard deviations from the mean.The winner for Best Male Actor is 35 years old and winn3er for Best Female Actress is 47. The mean for all male actors is 45.1 with a standard deviation of 5.9 years. Mean age for all actresses is 31.1 and the standard deviation is 12.1 years. Relevent to gender, which winner has the most extreme age?A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. (a) Identify the claim and state H, and H,. Which is the correct claim below? O A. "The mean length of mature female pink seaperch is the same in fall and winter. O B. "The mean length of mature female pink seaperch is greater in the fall than in the winter" O C. "The mean length of mature female pink seaperch is greathr in the winter than in the fall." O D. "The mean…
- A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Which hypothesis is the claim? The alternative hypothesis, H, O The null hypothesis, Ho (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal placbs as needed. Use a comma to separate answers as needed.) Select the correct rejection region(s) below. OA. t>toA marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 12 mature female pink seaperch collected in fall has a mean length of 123 millimeters and a standard deviation of 14 millimeters. A sample of 10 mature female pink seaperch collected in winter has a mean length of 117 millimeters and a standard deviation of 13 millimeters. At a = 0.01, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. O D. t<-to (c) Find the standardized test statistic. t%3D (Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis. the null hypothesis. (e) Interpret the decision in the context of the original claim. At the 1% significance level, enough evidence to support the claim that the mean…From generation to generation, the mean age when smokers first start to smoke varies. However, the standard deviation of the age when smokers first start to smoke remains constant at around 2.1 years. The American Lung Association claims that the mean age when smokers first start to smoke is at least 17. A survey of 40 randomly selected smokers of this generation was done and it was found that the mean age when smokers first started to smoke was 18.1. Is there enough evidence to reject the claim? Describe what a Type I error is for this situation. Describe what a Type II error is for this situation.
- A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 6 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 14 millimeters. At a = 0.20, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Which hypothesis is the claim? LEGO O The null hypothesis, Ho OThe alternative hypothesis, Ha (b) Find the critical value(s) and identify the rejection region(s). Enter the critical value(s) below. (Type an integer or decimal rounded to three decimal places as needed. Use a comma to separate answers as needed.)A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 6 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 14 millimeters. At a = 0.20, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. %3D (a) Identify the claim and state Ho and H,. Which is the correct claim below? O A. "The mean length of mature female pink seaperch is the same in fall and winter." O B. "The mean length of mature female pink seaperch is greater in the winter than in the fall. O C. "The mean length of mature female pink seaperch is greater in the fall than in the winter." D. "The mean…A marine biologist claims that the mean length of mature female pink seaperch is different in fall and winter. A sample of 6 mature female pink seaperch collected in fall has a mean length of 112 millimeters and a standard deviation of 15 millimeters. A sample of 8 mature female pink seaperch collected in winter has a mean length of 99 millimeters and a standard deviation of 14 millimeters. At a = 0.20, can you support the marine biologist's claim? Assume the population variances are equal. Assume the samples are random and independent, and the populations are normally distributed. Complete parts (a) through (e) below. Select the correct rejection region(s) below. O A. t to O C. -to to (c) Find the standardized test statistiç. t%3D Type an integer or decimal rounded to three decimal places as needed.) (d) Decide whether to reject or fail to reject the null hypothesis.