2. A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. SUVs equipped with tires using compound 1 have a mean braking distance of 56 feet and a standard deviation of 13.5 feet. SUVs equipped with tires using compound 2 have a mean braking distance of 63 feet and a standard deviation of 8.4 feet. Suppose that a sample of 76 braking tests are performed for each compound. Using these results, test the claim that the braking distance for SUVs equipped with tires using compound 1 is shorter than the braking distance when compound 2 is used. Let μ1 be the true mean braking distance corresponding to compound 1 and μ2 be the true mean braking distance corresponding to compound 2. Use the 0.1 level of significance.
Step 1 of 4: State the null and alternative hypotheses for the test.
Step 2 of 4: Compute the value of the test statistic. Round your answer to two decimal places.
Step 3 of 4: Determine the decision rule for rejecting the null hypothesis H0. Round the numerical portion of your answer to two decimal places. Reject Ho if:
Step 4 of 4: Make the decision for the hypothesis test.
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2. A researcher compares two compounds (1 and 2) used in the manufacture of car tires...
1.A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. SUVs equipped with tires using compound 1 have a mean braking distance of 61 feet and a standard deviation of 8.3 feet. SUVs equipped with tires using compound 2 have a mean braking distance of 67 feet and a standard deviation of 11.0 feet. Suppose that a sample of 77 braking tests...
A researcher compares two compounds (1 and 2) used in the manufacture of car tires that are designed to reduce braking distances for SUVs equipped with the tires. The mean braking distance for SUVs equipped with tires made with compound 1 is 61 feet, with a population standard deviation of 13.4. The mean braking distance for SUVs equipped with tires made with compound 2 is 67 feet, with a population standard deviation of 9.1. Suppose that a sample of 77...
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 58 type I ovens has a mean repair cost of $88.52, with a standard deviation of $23.72. A sample of 49 type II ovens has a mean repair cost of $86.20, with a standard deviation of $14.32. Conduct a hypothesis test...
technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 57 type I ovens has a mean repair cost of $82.19 , with a standard deviation of $11.01 . A sample of 52 type II ovens has a mean repair cost of $80.18 , with a standard deviation of $22.47 . Conduct...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 96 type K batteries and a sample of 98 type Q batteries. The mean voltage is measured as 8.79 for the type K batteries with a standard deviation of 0.661, and the mean voltage is 9.05 for type Q batteries with a standard deviation of 0.206. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries...
An engineer is comparing voltages for two types of batteries (K and Q) using a sample of 66 type K batteries and a sample of 41 type Q batteries. The mean voltage is measured as 9.38 for the type K batteries with a standard deviation of 0.648, and the mean voltage is 9.53 for type Q batteries with a standard deviation of 0.658. Conduct a hypothesis test for the conjecture that the mean voltage for these two types of batteries...
A1A Tires claims that its tires last longer than tires manufactured by its main competitor, YYZ Tires. A consumer group studied the lifespans of tires manufactured by each manufacturer. The lifespans of a random sample of 10 tires from each manufacturer, in thousands of miles, are recorded. Assume that the population standard deviation of the lifespan for tires manufactured by A1A Tires is 3 thousand miles, while the population standard deviation of the lifespan for tires manufactured by YYZ Tires...
A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 35 type I ovens has a mean repair cost of $78.81. The population standard deviation for the repair of type I ovens is known to be $13.96. A sample of 31 type II ovens has a mean repair cost of $76.47....
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A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 67 type I ovens has a mean repair cost of $75.75. The population standard deviation for the repair of type I ovens is known to be $20.52. A sample of 69 type II ovens has a mean repair cost of $70.47....