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- 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 ?2 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 ?2 = 23 months (squared) is most desirable for these batteries. A random sample of 30 batteries gave a sample variance of 15.2 months (squared). Using a 0.05 level of significance, test the claim that ?2 = 23 against the claim that ?2 is different from 23. (a) What is the level of significance?State the null and alternate hypotheses. Ho: ?2 = 23; H1: ?2 ≠ 23Ho: ?2 > 23; H1: ?2 = 23 Ho: ?2 = 23; H1: ?2 < 23Ho: ?2 = 23; H1: ?2 > 23 (b) Find the value of the chi-square statistic for the sample. (Round your answer to two…104. What is the least squares regression line for the following summary data? y-hat =1.99x + 3.11 y-hat = 2.01x + 3.55 y-hat = 2.16x + 2.47 y-hat =2.02x + 2.73A 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 o 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 o = 23 months (squared) is most desirable for these batteries. A random sample of 30 batteries gave a sample variance of 15.4 months %3D (squared). Using a 0.05 level of significance, test the claim that o? = 23 against the claim that oʻ is different from 23. (b) Find the value of the chi-square statistic for the sample. (Round your answer to two decimal places.) What are the degrees of freedom?
- Captopril is a drug designed to lower systolic blood pressure. In a trial, 12 randomly selected subjects were treated with the drug and another 12 randomly selected subjects were treated with the placebo. Assume the two populations are normally distributed. The results and some summary statistics are shown in the table. Note that some of the summary statistics may not be useful or relevant! Data Group Placebo 200 174 198 170 179 182 193 209 185 155 169 210 (ž1 = 185.3) (s1 = 17.1) Captopril (I2 = 166.8) (s2 = 14.9) d = I1 – 12 (d = 18.6) (sa = 10.1) %3D %3D 191 170 177 167 159 151 176 183 159 145 146 177 9. 4 21 3 20 31 17 26 26 10 23 33 %3D data %3D Using a 0.01 significance level, is there sufficient evidence to support the claim that the mean systolic blood pressure is lower for those treated with the drug than for those treated with the placebo? Use the p-value method. For full marks, include a diagram of the distribution indicating important components of the question.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 ?2 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 ?2 = 23 months (squared) is most desirable for these batteries. A random sample of 22 batteries gave a sample variance of 15 months (squared). Using a 0.05 level of significance, test the claim that ?2 = 23 against the claim that ?2 is different from 23. (f) Find a 90% confidence interval for the population variance. (Round your answers to two decimal places.) (g) Find a 90% confidence interval for the population standard deviation. (Round your answers to two decimal places.)A two-way ANOVA experiment with interaction was conducted. Factor A had three levels (columns), factor B had five levels (rows), and six observations were obtained for each combination. Assume normality in the underlying populations. The results include the following sum of squares terms: SST=1542 SSA= 1042 SSB = 358 SSAB = 39 a. Construct an ANOVA table. (Round "MS" to 4 decimal places and "F" to 3 decimal places.) ANOVA Source of Variation Rows Columns Interaction Error Total SS 0 df Answer is not complete. 0 MS F p- value 0.000 0.000 0.002
- 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 o 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 30 batteries gave a sample variance of 15.4 months (squared). Using a 0.05 level of significance, test the claim that o? = 23 against the claim that o 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…Suppose that we have disjoint normal populations A and B with equal but unknown population variances. Suppose we plan a sample of size 12 from from population A and a sample of size 6 from population B which we will pool to form the pooled variance. If the sample variance for the sample from population A is 25 and the sample variance for the sample from population B is 36, then what is the pooled sample variance?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 ?2 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 = 23 months (squared) is most desirable for these batteries. A random sample of 20 batteries gave a sample variance of 12.8months (squared). Using a 0.05 level of significance, test the claim that ?2 = 23 against the claim that?2 is different from 23.
