You wish to test the claim μ<68.5μ<68.5 at a significance level of 0.100.10. You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 67.7 42.1 94.4 67.2 16.9 49.7 30.2 65.2
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You wish to test the claim μ<68.5μ<68.5 at a significance level of 0.100.10.
You believe the population is
data |
---|
67.7 |
42.1 |
94.4 |
67.2 |
16.9 |
49.7 |
30.2 |
65.2 |
What is the critical value for this test? (Report answer accurate to three decimal places.)
critical value =
What is the test statistic for this sample? (Report answer accurate to three decimal places.)
test statistic =
Claim:
μ<68.5
Null Hypothesis:
H0:
Alternative Hypothesis:
H0:
Critical value:
degrees of freedom=n-1=8-1=7
level of significance=0.10
Tail of the test is left tail test.
t critical value=-1.415, from the excel function, =T.INV(0.1,7)
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- You wish to test the following claim (HaHa) at a significance level of α=0.02. Ho:μ=57.3 Ha:μ>57.3You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 77.7 67 62 51.3 69.1 72.2 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) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail 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 greater than 57.3. There is not sufficient evidence to warrant rejection of the claim that the population mean is greater than 57.3. The sample data support the claim that the population mean…E Infanticide - an ove.. You wish to test the following claim (H) at a significance level of a 0.10. H.:µ = 77.4 Ha: < 77.4 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 64.9 82.9 77,7 74.9 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 Pri P Type here to search 近You wish to test the claim μ>53.3μ>53.3 at a significance level of 0.050.05.You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 49.9 46.9 58.6 61.1 60.1 65.9 68.4 57.6 67.8 52.2 61.3 60.3 53.6 71.2 42.9 What is the critical value for this test? (Report answer accurate to three decimal places.)critical value = What is the test statistic for this sample? (Report answer accurate to three decimal places.)test statistic =
- You wish to test the following claim (HaHa) at a significance level of α=0.002 Ho:μ=72.6 Ha:μ<72.6You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: 94.7 57.9 57 55.3 48.5 81.5 46.2 61.7 76.9 75.5 63.9 49.2 82.9 62.1 50.5 72.9 52.3 57.4 63.2 80.2 82.2 71.6 75 69 57 62.5 52.8 50.5 61.4 82.2 58.7 62.8 75.5 49.2 55.7 87.6 72.4 56.2 48.5 90.4 79.6 32.1 69 76.9 47.8 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) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail 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…You wish to test the following claim (Ha) at a significance level of a=0.02. H0: u=83.9 Ha:u<83.9 You believe the population is normally distributed but you do not know the standard deviation. You obtain a sample of size n=119 with the meanM=79.4 and a standard deviation of SD=12.9. What is the test statistic foe this sample? What is the P value for this sample? The p value is less than or greater than a? This test statistic leads to a decision to: reject the null, accept the null, or fail to reject the null?You wish to test the following claim (H.) at a significance level of a = 0.002. H.:µ = 55.7 На:и < 55.7 You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 24.5 35.2 1.8 10 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 greater than a This test statistic leads to a decision to... O reject the null hypothesis accept the null hypothesis fail to reject the null hypothesis As such, the final conclusion is that... O There is enough evidence to show that the population mean is not less than 55.7. There is not enough evidence to show that the population mean is not less than 55.7. OThere is enough evidence to show that the population mean is less than 55.7. There is not enough evidence to show that the…
- You wish to test the following claim (HaHa) at a significance level of α=0.01α=0.01. Ho:μ=86.2 Ha:μ<86.2You believe the population is normally distributed, but you do not know the standard deviation. You obtain the following sample of data: data 64.7 65.6 80.7 58.2 71.3 97.6 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) αα greater than αα This test statistic leads to a decision to... reject the null accept the null fail to reject the null As such, the final conclusion is that... The sample data support the claim that the population mean is less than 86.2. There is not sufficient sample evidence to support the claim that the population mean is less than 86.2. Next Next QuestionWhat is the test statistic and P value?The time to complete an exam is approximately Normal with a mean μ = 47 minutes and a standard deviation o = 8 minutes. The bell curve below represents the distribution for testing times. The scale on the horizontal axis is equal to the standard deviation. 1. Fill in the indicated boxes. μ-3σ μ-2ο μίσ + μ μ+o 47 minutes. 2. Used the Empirical Rule to complete the following statements: 95% of testing times were between and μ = 47 σ = 8 μ+20 μ+30 minutes and 55 minutes. minutes % of the testing times were between 39
- Apply the Empirical Rule to solve the following: The weight of a newborn manatee calf is normally distributed with a mean of 66 lbs and a standard deviation of 4 lbs. (Do NOT overuse the calculator on this problem. Apply the Empirical Rule.) a.Draw and label the normal curve. (Don’t forget the word label on the x-axis) b.What percent of manatee calves have a birth weight between 54 and 78 lbs? c. What percent of manatee calves have a birth weight of more than 74 lbs? d .What is the birth weight of the middle 68% of manatee calves? e. What percent of manatee calves weigh more than 58 lbs at birth? f. How much do the smallest 0.15% of manatee calves weigh at birth? g. What percent of manatee calves weigh less than 62 lbs at birth? h. What percent of manatee calves weigh 66 lbs or more at birth?You wish to test the following claim at a significance level of a=0.10. H0:U=81.8 H1:U<81.8You believe the population is normally distributed, but you do not know the standard deviation. You obtain a sample of size 90 with mean 77.6 and a standard deviation of 14.8.What is the test statistic for this sample? (Report answer accurate to 3 decimal places.)What is the p-value for this sample? (Report answer accurate to 4 decimal places.)This test statistic leads to a decision to reject the null accept the null fail to reject the null As such, the final conclusion is that there is sufficient evidence to conclude that the population mean is equal to 81.8. there is not sufficient evidence to conclude that the population mean is equal to 81.8. there is sufficient evidence to conclude that the population mean is less than 81.8. there is not sufficient evidence to conclude that the population mean is less than 81.8.