As the population standard deviation is not we will use t distribution in all test.
a.Test statistic:
d.f. = n-1= 36-1= 35
P-value for one tailed t test with test statistic -1.154 wif d.f. (35) by Excel formula=TDIST(1.154,35,1)=0.128
As P-value(0.128) is greater than alpha(0.01) we fail to reject the null hypothesis.
So answer is
b.
d.f.=36-1=35
P-value for one tailed t test with test statistic -2.553 with d.f. (35) by Excel formula=TDIST(2.553,35,1)=0.008
As P-value(0.008) is less than alpha(0.01) we reject the null hypothesis.
So the answer is
c
P-value for one tailed t test with test statistic 1 with d.f. (35) by Excel formula=TDIST(1,35,1)=0.162
As P-value(0.162) is greater than alpha(0.01) we fail to reject the null hypothesis.
so the answer is
You may need to use the appropriate technology to answer this question. Consider the following hypothesis...
44. You may need to use the appropriate technology to answer this question. Consider the follovring hypothesis test. A sample of 36 is used. Identify the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a)x44 and s5.1 Find the value of the test statistic. (Round your ansvwer to three decimal places.) Find the p-value. (Round your answer to four decimal places.) p-value State your conclusion. O Do not reject Ho. There is...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. H0: μ ≥ 70 Ha: μ < 70 A sample of 100 is used and the population standard deviation is 12. Compute the p-value and state your conclusion for each of the following sample results. Use α = 0.01. (a) x = 68.5 Find the value of the test statistic. -1.25 Correct: Your answer is correct. Find the p-value. (Round your answer to...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ = 15 Ha: μ ≠ 15 A sample of 50 provided a sample mean of 14.09. The population standard devlation is 3. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) (c) At a = 0.05, state your conclusion. Reject H0. There is sufficient evidence to conclude that...
You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. H0: μ ≤ 25 Ha: μ > 25 A sample of 40 provided a sample mean of 26.6. The population standard deviation is 6. (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value = (c) At α = 0.01, state your conclusion....
-6 points You may need to use the appropriate appendix table or technology to answer this question. Consider the following hypothesis test. ASWSBE 139E.011. 3. + Ho' μ-15 Ha: μ * 15 A sample of 50 provided a sample mean of 14.09. The population standard deviation is 3 (a) Find the value of the test statistic. (Round your answer to two decimal places.) (b) Find the p-value. (Round your answer to four decimal places.) p-value (c) At α-0.05, state your...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. The following results are from independent samples taken from two populations assuming the variances are unequal Sample 1 Sample 2 n1-352 x1-13.6x2-10.1 s, 5.5 s = 8.1 n2-40 (a) What is the value of the test statistic? (Use X1-x2. Round your answer to three decimal places.) (b) What is the degrees of freedom for the t distribution? (Round your answer down to the...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Holly - 12 = 0 Ha: My - 4270 The following results are from independent samples taken from two populations. Sample 1 Sample 2 ni = 35 n2 = 40 * = 13.6 X2 = 10.1 $i = 5.4 $2 = 8.8 (a) What is the value of the test statistic? (Use xa - 2. Round your answer to three decimal places.) (b)...
You may need to use the appropriate appendix table or technology to answer this question. Individuals filing federal income tax returns prior to March 31 received an average refund of $1,063. Consider the population of "last-minute" filers who mail their tax return during the last five days of the income tax period (typically April 10 to April 15). (a) A researcher suggests that a reason individuals wait until the last five days is that on average these individuals receive lower...
You may need to use the appropriate technology to answer this question. Consider the following hypothesis test. Ho: M-42 - 0 H: 11-20 The following results are from independent samples taken from two populations. Sample 1 Sample 2 - 35 n2 = 40 72 - 10.1 x2 = 13.6 $1 = 5.1 52 = 8.5 (a) What is the value of the test statistic? (Use x - xz Round your answer to three decimal places.) 2.192 (b) What is the...
You may need to use the appropriate appendix table or technology to answer this question Consider the following hypothesis test H0: p = 0.20 Ha: p # 0.20 A sample of 400 provided a sample proportion p = 0.185 (a) Compute the value of the test statistic. (Round your answer to two decimal places.) (b) What is the p-value? (Round your answer to four decimal places.) p-value- (C) 0.05, what is your conclusion? 0 Reject H0. There is insufficient evidence...