Test the claim that the mean GPA of night students is significantly different than 2.8 at the 0.02 significance level. The null and alternative hypothesis would be: H0:μ=2.8 H1:μ≠2.8 Based on a sample of 70 people, the sample mean GPA was 2.77 with a standard deviation of 0.07 The test statistic is (to 3 decimals) The positive critical value is
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Test the claim that the
The null and alternative hypothesis would be:
H0:μ=2.8
H1:μ≠2.8
Based on a sample of 70 people, the sample mean GPA was 2.77 with a standard deviation of 0.07
The test statistic is (to 3 decimals)
The positive critical value is
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- A sample of 42 observations is selected from a normal population. The sample mean is 41, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level. H0: μ = 43 H1: μ ≠ 43 What is your decision regarding H0? multiple choice 3 Fail to reject H0 Reject H0 e-1. What is the p-value? (Round your z value to 2 decimal places and final answer to 4 decimal places.) e-2. Interpret the p-value? (Round your z value to 2 decimal places and final answer to 2 decimal places.)The manufacturer claims that your new car gets 24 mpg on the highway. You suspect that the mpg is less for your car. The 44 trips on the highway that you took averaged 22.3 mpg and the standard deviation for these 44 trips was 4.2 mpg. What can be concluded at the αα = 0.05 level of significance? For this study, we should use (t-test for population mean, z-test for population proportion) The null and alternative hypotheses would be: H0: (symbol) (symbol) ____ H1: (symbol) (symbol) ____ The test statistic (?,t,z) = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is (?, less than or equal to, more than) αα Based on this, we should (accept, reject, fail to reject) the null hypothesis. Thus, the final conclusion is that ... The data suggest that the sample mean is not significantly less than 24 at αα = 0.05, so there is statistically insignificant evidence to conclude…You wish to test the following claim (Ha) at a significance level of α=0.02 Ho:μ=54.6 Ha:μ>54.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=87 with mean M=55.8and a standard deviation of SD=7.7What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... A-less than (or equal to) αα B-greater than αα This test statistic leads to a decision to... A-reject the null B-accept the null C-fail to reject the null As such, the final conclusion is that... A-There is sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. B-There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 54.6. C-The sample data support the claim that the population…
- You wish to test the following claim (HaHa) at a significance level of α=0.001 Ho:μ=87.4 Ha:μ>87.4You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=82 with mean M=93.1 and a standard deviation of SD=12.5What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is... less than (or equal to) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the nullYou wish to test Ho: Md = 0 versus Ha:μd 0 at a significance level of 0.10. For the context of this problem, d = μ₂ μ₁ where the first data set represents a pre-test and the second data set represents a post-test. You obtain pre-test and post-test samples for na 25 subjects. The average difference (post-pre) is d 7 with a standard deviation of the differences of sd = 11.6. = Round your answers to three decimal places, and round any interim calculations to four decimal places. What is the test statistic? =During an economic crisis, the average value of homes in a community of 36 homes lost $9445 with a standard deviation of $1300. The average home value in the region lost $8990. Was this community of 36 homesunusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ not equals≠ equals= greater than> less than< nothing HA: μ ▼ equals= greater than> not equals≠ less than< nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Reject Fail to reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…
- You wish to test the following claim (Ha) at a significance level of a = 0.001. Ho:µ = 60.5 Ha:µ + 60.5 You believe the population is normally distributed and you know the standard deviation is o = 11.1 You obtain a sample mean of M = 56.9 for a sample of size n = 39. What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is. O less than (or equal to) a O greater than a This test statistic leads to a decision to... O reject the null O accept the null O fail to reject the null As such, the final conclusion is that... O There is sufficient evidence to warrant rejection of the claim that the population mean is not equal to 60.5. O There is not sufficient evidence to warrant rejection of the claim that the population mean is not equal to 60.5. O The sample data support the claim that the population mean is not equal to 60.5. O…During an economic crisis, the average value of homes in a community of 36 homes lost $9284 with a standard deviation of $1450. The average home value in the region lost $8790. Was this community of 36 homes unusual? Use a t-test to decide if the average loss observed was significantly different from the region value. Use a level of significance α=0.05. Identify the hypotheses for the test. H0: μ ▼ less than< greater than> equals= not equals≠ nothing HA: μ ▼ less than< not equals≠ greater than> equals= nothing The test statistic is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) What is the conclusion of the test? Was the average loss observed significantly different from the region value? ▼ Fail to reject Reject the null hypothesis because the P-value is ▼ greater less than the given significance level, and conclude that the…You wish to test the following claim (Ha) at a significance level of α=0.001. Ho:μ=66.6 Ha:μ≠66.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size n=24 with mean M=60 and a standard deviation of SD=14.7.What is the test statistic for this sample? (Report answer accurate to three decimal places.) test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.) p-value = The p-value is which.... less than (or equal to) α greater than α
- The manufacturer claims that your new car gets 23 mpg on the highway. You suspect that the mpg is less for your car. The 50 trips on the highway that you took averaged 19.8 mpg and the standard deviation for these 50 trips was 7.4 mpg. What can be concluded at the � = 0.10 level of significance? For this study, we should use The null and alternative hypotheses would be: �0: �1: The test statistic = (please show your answer to 3 decimal places.) The p-value = (Please show your answer to 4 decimal places.) The p-value is � Based on this, we should the null hypothesis. Thus, the final conclusion is that ... The data suggest that the populaton mean is significantly less than 23 at � = 0.10, so there is statistically significant evidence to conclude that the population mean mpg for your car on the highway is less than 23. The data suggest that the population mean is not significantly less than 23 at � = 0.10, so there is…You wish to test the following claim ( Ha) at a significance level of α= 0.10. Ho: μ= 84.8Ha: μ< 84.8 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data:66.582.260.2 What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic = What is the p-value for this sample? (Report answer accurate to four decimal places.)p-value = The p-value is...less than (or equal to) α or greater than α This test statistic leads to a decision to...reject the nullaccept the nullfail to reject the null As such, the final conclusion is that...There is sufficient evidence to warrant rejection of the claim that the population mean is less than 84.8.There is not sufficient evidence to warrant rejection of the claim that the population mean is less than 84.8.The sample data support the claim that the population mean is less than 84.8.There is not sufficient sample evidence to…Using a standardized scale, the average rating of behavioral problems for kindergarten children is ?μ= 35. A sample of n = 16 kindergarten children who had spent at least 20 hours per week in child care produced a mean score of M = 42.7 with a standard deviation of s = 6. Are the data sufficient to conclude that children in child care show significantly more behavioral problems than the average kindergarten children? use ?α = .01.
