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Home Question Bank Math Statistics Archive 2024 November 16

Statistics Questions from Nov 16,2024

Browse the Statistics Q&A Archive for Nov 16,2024, featuring a collection of homework questions and answers from this day. Find detailed solutions to enhance your understanding.

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A manufacturer of banana chips would like to know whether its bag filling machine works correctly at the 446 gram setting. It is believed that the machine is underfilling the bags. A 38 bag sample had a mean of 444 grams. Assume the population variance is known to be 729 . A level of significance of 0.02 will be used. State the null and alternative hypotheses. It currently takes users a mean of 13 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 13 minutes so that they can change their advertising accordingly. A simple random sample of 71 new customers are asked to time how long it takes for them to install the software. The sample mean is 12.1 minutes with a standard deviation of 2.9 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Step 3 of \( \mathbf{3} \) : Draw a conclusion and interpret the decision. It currently takes users a mean of 13 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 13 minutes so that they can change their advertising accordingly. A simple random sample of 71 new customers are asked to time how long it takes for them to install the software. The sample mean is 12.1 minutes with a standard deviation of 2.9 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places. It currently takes users a mean of 13 minutes to install the most popular computer program made by RodeTech, a software design company. After changes have been made to the program, the company executives want to know if the new mean is now different from 13 minutes so that they can change their advertising accordingly. A simple random sample of 71 new customers are asked to time how long it takes for them to install the software. The sample mean is 12.1 minutes with a standard deviation of 2.9 minutes. Perform a hypothesis test at the 0.05 level of significance to see if the mean installation time has changed. Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. \[ H_{0}: \mu=13 \] \( H_{a}: \mu \) A wedding website states that the average cost of a wedding is \( \$ 29,257 \). One concerned bride hopes that the average is less than reported. To see if her hope is correct, she surveys 58 recently married couples and finds that the average cost of weddings in the sample was \( \$ 28,130 \). Assuming that the population standard deviation is \( \$ 3673 \), is there sufficient evidence to support the bride's hope at the 0.02 level of significance? Step 3 of 3 : Draw a conclusion and interpret the decision. A wedding website states that the average cost of a wedding is \( \$ 29,257 \). One concerned bride hopes that the average is less than reported, To see if her hope is correct, she surveys 58 recently married couples and finds that the average cost of weddings in the sample was \( \$ 28,130 \). Assuming that the population standard deviation is \( \$ 3673 \), is there sufficient evidence to support the bride's hope at the 0.02 level of significance? Step 2 of 3 : Compute the value of the test statistic. Round your answer to two decimal places. A wedding website states that the average cost of a wedding is \( \$ 29,257 \). One concerned bride hopes that the average is less than reported. To see if her hope is correct, she surveys 58 recently married couples and finds that the average cost of weddings in the sample was \( \$ 28,130 \). Assuming that the population standard deviation is \( \$ 3673 \), is there sufficient evidence to support the bride's hope at the 0.02 level of significance? Step 1 of 3 : State the null and alternative hypotheses for the test. Fill in the blank below. \[ H_{0}: \mu=29,257 \] \( H_{a}: \mu \) At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.33 . After the student shoots 30 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.21 . Does this evidence support the student's claim that the gun's sight is off? Use a 0.10 level of significance. Assume that the distances between the shots and the center of the shot pattern are normally distributed. step 3 of 3: Draw a conclusion and interpret the decision. A sample of households in a community is selected at random from the city telephone directory. What kind of bias does this sampling method represent? Response Bias Non-Response Bias Voluntary Response Bias Convenience Sample Undercoverage At a shooting range, instructors can determine if a shooter is consistently missing the target because of the gun sight or because of the shooter's ability. If a gun's sight is off, the variance of the distances between the shots and the center of the shot pattern will be small (even if the shots are not in the center of the target). A student claims that it is the sight that is off, not his aim, and wants the instructor to confirm his claim. If a skilled shooter fires a gun at a target multiple times, the distances between the shots and the center of the shot pattern, measured in centimeters (cm), will have a variance of less than 0.33 . After the student shoots 30 shots at the target, the instructor calculates that the distances between his shots and the center of the shot pattern, measured in cm, have a variance of 0.21 . Does this evidence support the student's claim that the gun's sight is off? Use a 0.10 level of significance. Assume that the distances between the shots and the center of the shot pattern are normally distributed. Step 2 of 3: Compute the value of the test statistic. Round your answer to three decimal places.
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