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A set of solar batteries is used in a research satellite. The satellite can run on only o the useful lifetime of the satellite before it goes dead. If the variance is too small, at Why? Engineers have determined that a variance of o? = 23 months (squared) is m (squared). Using a 0.05 level of significance, test the claim that o² = 23 against the (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O H;: o² = 23; H,: o? < 23 Ho: o2 = 23; H,: o² + 23

A set of solar batteries is used in a research satellite. The satellite can run on only o the useful lifetime of the satellite before it goes dead. If the variance is too small, at Why? Engineers have determined that a variance of o? = 23 months (squared) is m (squared). Using a 0.05 level of significance, test the claim that o² = 23 against the (a) What is the level of significance? 0.05 State the null and alternate hypotheses. O H;: o² = 23; H,: o? < 23 Ho: o2 = 23; H,: o² + 23

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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W Math 2250 Unit 4 Post Test Re X b Answered: (a) What is the level X + -> webassign.net/web/Student/Assignment-Responses/last?dep=24515412 A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance oʻ of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of o2 = 23 months (squared) is most desirable for these batteries. A random sample of 22 batteries gave a sample variance of 15.2 months (squared). Using a 0.05 level of significance, test the claim that o? = 23 against the claim that oʻ is different from 23. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. Ho: o? 23; H;: o2 < 23 Ho: o? 23; H1: o2 + 23 Ho:o? 23; H,: o² > 23 = H: o2 > 23; H,: o2 = 23 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) 13.88 What are the degrees of freedom? 21 What assumptions are you making about the original distribution? We assume a binomial population distribution. We assume a normal population distribution. We assume a exponential population distribution. We assume a uniform population distribution. (c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 O P-value < 0.005
Transcribed Image Text:W Math 2250 Unit 4 Post Test Re X b Answered: (a) What is the level X + -> webassign.net/web/Student/Assignment-Responses/last?dep=24515412 A set of solar batteries is used in a research satellite. The satellite can run on only one battery, but it runs best if more than one battery is used. The variance oʻ of lifetimes of these batteries affects the useful lifetime of the satellite before it goes dead. If the variance is too small, all the batteries will tend to die at once. Why? If the variance is too large, the batteries are simply not dependable. Why? Engineers have determined that a variance of o2 = 23 months (squared) is most desirable for these batteries. A random sample of 22 batteries gave a sample variance of 15.2 months (squared). Using a 0.05 level of significance, test the claim that o? = 23 against the claim that oʻ is different from 23. (a) What is the level of significance? 0.05 State the null and alternate hypotheses. Ho: o? 23; H;: o2 < 23 Ho: o? 23; H1: o2 + 23 Ho:o? 23; H,: o² > 23 = H: o2 > 23; H,: o2 = 23 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) 13.88 What are the degrees of freedom? 21 What assumptions are you making about the original distribution? We assume a binomial population distribution. We assume a normal population distribution. We assume a exponential population distribution. We assume a uniform population distribution. (c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 O P-value < 0.005
W Math 2250 Unit 4 Post Test Re X b Answered: (a) What is the level X + webassign.net/web/Student/Assignment-Responses/last?dep=24515412 What assumptions are you making about the original distribution? We assume a binomial population distribution. We assume a normal population distribution. We assume a exponential population distribution. We assume a uniform population distribution. (c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value > a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. Since the P-value < a, we reject the null hypothesis. Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, there is insufficient evidence to conclude that the variance of battery life is different from 23. At the 5% level of significance, there is sufficient evidence to conclude that the variance of battery life is different from 23. (f) Find a 90% confidence interval for the population variance. (Round your answers to two decimal places.) lower limit upper limit (g) Find a 90% confidence interval for the population standard deviation. (Round your answers to two decimal places.) lower limit months upper limit months Viewing Saved Work Revert to Last Response
Transcribed Image Text:W Math 2250 Unit 4 Post Test Re X b Answered: (a) What is the level X + webassign.net/web/Student/Assignment-Responses/last?dep=24515412 What assumptions are you making about the original distribution? We assume a binomial population distribution. We assume a normal population distribution. We assume a exponential population distribution. We assume a uniform population distribution. (c) Find or estimate the P-value of the sample test statistic. P-value > 0.100 0.050 < P-value < 0.100 0.025 < P-value < 0.050 0.010 < P-value < 0.025 0.005 < P-value < 0.010 P-value < 0.005 (d) Based on your answers in parts (a) to (c), will you reject or fail to reject the null hypothesis? Since the P-value > a, we fail to reject the null hypothesis. Since the P-value > a, we reject the null hypothesis. Since the P-value < a, we reject the null hypothesis. Since the P-value < a, we fail to reject the null hypothesis. (e) Interpret your conclusion in the context of the application. At the 5% level of significance, there is insufficient evidence to conclude that the variance of battery life is different from 23. At the 5% level of significance, there is sufficient evidence to conclude that the variance of battery life is different from 23. (f) Find a 90% confidence interval for the population variance. (Round your answers to two decimal places.) lower limit upper limit (g) Find a 90% confidence interval for the population standard deviation. (Round your answers to two decimal places.) lower limit months upper limit months Viewing Saved Work Revert to Last Response
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