average of 8 minutes late. As a result, the Boston public school district claimed that the schedule adjustment was an improvement-students were not as late. Assume a population standard deviation for bus arrival time of 12 minutes. Develop the null and alternative hypotheses to determine whether the schedule adjustment reduced the average lateness time of 12 minutes.
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Given :
Xbar=8
Mean lateness(mu) =12
Standard deviation =12
n=36
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- NebNas manages the credit department for a grocery store chain in the province, and she would like to determine whether the mean monthly balance of credit card holders is equal to $95. A random sample of 100 accounts indicated that the mean owed is $101.5 with a sample standard deviation of $25.6. If she wanted to test whether the mean balance is different from $95 and decided to reject the null hypothesis, what will be the p-value of the test?An auditor, pressed for time and on a low budget, is concerned with account errors on customer credit. She takes a sample of 25 accounts, and finds the account error, on average, is $-23, with a standard deviation of $16. Is the claim of the manager that errors average only $-10 supported? In this case, the null hypothesis is what?2) A job placement director claims that the average starting salary for nurse is $26000. A sample of 18 nurses has a mean salary of $25620 and a standard deviation of $680. Is there enough evidence to reject the directors claim at a = 5% LOS?
- NebNas manages the credit department for a grocery store chain in the province, and she would like to determine whether the mean monthly balance of credit card holders is equal to $95. A random sample of 100 accounts indicated that the mean owed is $101.5 with a sample standard deviation of $25.6. If she wanted to test whether the mean balance is different from $95 and decided to reject the null hypothesis, what will be the p-value of the test?Suppose that Kira is measuring the amount of sleep that the residents of Decatur County get per night. She does not know the standard deviation, nor does she know the distribution of the amount of sleep all Decatur residents get. Therefore, she prefers to obtain a large sample. Kira thus enlists the help of her friend, Jadzia, who works for OkHarmony. This popular dating service finds matches for its clients by how they respond to numerous survey questions. Jadzia slips Kira's question into the mix, and from the member database of over a thousand male and female singles, she is able to obtain a sample of 101 responses. The sample mean is 6.62 hours a night with a sample standard deviation of 1.19 hours. There are no outliers in the sample. Kira plans to perform a t-test with an alpha level of α = 0.05 on the hypothesis that Decatur residents get an average of less than 8 hours of sleep per night. Evaluate all of the following five statements as true or false. The sample is a simple…In 2017, the SAT was scored out of 1600. The average SAT scores among the 925 Texas students who stated their intended major was Mathematics was 1148. The average SAT score among the 1026 Texas students who stated their intended major was History was 1031. Assume the true standard deviation for both populations is 193. (a.) Test the hypothesis at the 1% significance level that future Texas math majors had a higher SAT score on average in 2017 than future Texas history majors. (b.) Find a 98% confidence interval for the difference in their SAT scores (Let μ1 be the mean math major score and μ2 be the mean history major score).
- A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is not equal to the mean of WaxCo. In a random sample of 12 floors of WaxWin and 20 of WaxCo. WaxWin had a mean lifetime of 27.6 with a standard deviation of 8.8 and WaxCo had a mean lifetime of 20.3 with a standard deviation of 7.6. Perform a hypothesis test using a significance level of 0.01 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: HA: P1 > µ2(claim) Ho: µ1 2 µ2 HA: µ1 < µ2(claim) Ho: µ1 = µ2 HA: H1 + H2(claim) Since the level of significance is 0.01 the critical value is 2.836 and -2.836 The test statistic is: (round to 3 places) The p-value is: (round to 3 places)The lengths of pregnancies in a small rural village are normally distributed with a mean of 261 days and a standard deviation of 12 days. What percentage of pregnancies last fewer than 223 days? P(X<223 days) = % Enter your answer as a percent accurate to 1 decimal place (do not enter the "%" sign). Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.A custodian wishes to compare two competing floor waxes to decide which one is best. He believes that the mean of WaxWin is less than the mean of WaxCo. In a random sample of 20 floors of WaxWin and 17 of WaxCo. WaxWin had a mean lifetime of 26.4 with a standard deviation of 8.6 and WaxCo had a mean lifetime of 27.2 with a standard deviation of 6.6. Perform a hypothesis test using a significance level of 0.05 to help him decide. Let WaxWin be sample 1 and WaxCo be sample 2 The correct hypotheses are: Ο Ηο: μι < με HA₁₂(claim) Ο Ηρ: με 2 με HA: 1₂(claim) O Ho: ₁ = ₂ HAM12(claim) Since the level of significance is 0.05 the critical value is -1.69 (round to 3 places) The test statistic is: The p-value is: (round to 3 places)
- A metropolitan transportation authority has set a bus mechanical reliability goal of 3,900 bus miles. Bus mechanical reliability is measured specifically as the number of bus miles between mechanical road calls. Suppose a sample of 100 buses resulted in a sample mean of 3,950 bus miles and a sample standard deviation of 225 bus miles. a. Is there evidence that the population mean bus miles is more than 3,900 bus miles? (Use a 0.10 level of significance.) State the null and alternative hypotheses. H0: μ ___ _____H1: μ ____ _____ (Type integers or decimals.) Find the test statistic for this hypothesis test. tSTAT=______ (Round to two decimal places as needed.) The critical value(s) for the test statistic is(are) _____ (Round to two decimal places as needed. Use a comma to separate answers as needed.) Is there sufficient evidence to reject the null hypothesis using α=0.10? A. Reject the null hypothesis. There is sufficient evidence at…Based on information from the Statistical Forum, the population mean daily cost of operating a car is $ 18. A random sample of 26 students who own cars found a sample mean operating cost per day of $17.30. The population standard deviation is known and its value is $3.2. Test the alternative hypothesis that the population mean daily cost of operating a car for all students is lower than the national population average of $18. Use the 1% level of significance. 1) Specify the null and the alternative hypotheses. 2) Compute the Sample Test Statistic for this hypothesis test. 3) Find the p-value for this hypothesis test. 4) What is the decision for this hypothesis test.Jess2.4 employees leaving per month, with a standard deviation of 0.5. She decided to see if using a new benefits package would affect her average. She used the new benefits package for 13 months. For those 13 months, Jessica got an average of 2.6 employees leaving. She wants to know if the new benefits package caused her to get a different number of employees leaving per month. She conducts a one-mean hypothesis at the 5% significance level, to see if the new benefits package caused her to get a different number of employees leaving per month. Which answer choice shows the correct null and alternative hypotheses for this test? Select the correct answer below: H0:μ=2.4; Ha:μ≠2.4, which is a two-tailed test. H0:μ=2.4; Ha:μ<2.4, which is a left-tailed test. H0:μ=2.4; Ha:μ>2.4, which is a right-tailed test. H0:μ=2.6; Ha:μ≠2.6, which is a left-tailed test.