A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 21 sedans has a mean minimum time to travel a quarter mile of 15.6 seconds and a standard deviation of 2.09 seconds. At a0.10 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below Assume the population is normally distributed. (a) identity the dlaim and state H and H s14.5 14.5 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis (b) Use technology to find the Pvalue. Find the standardized test statistic, t (Round to two decimal places as needed.)

A consumer group claims that the mean minimum time it takes for a sedan to travel a quarter mile is greater than 14.5 seconds. A random sample of 21 sedans has a mean minimum time to travel a quarter mile of 15.6 seconds and a standard deviation of 2.09 seconds. At a0.10 is there enough evidence to support the consumer group's claim? Complete parts (a) through (d) below Assume the population is normally distributed. (a) identity the dlaim and state H and H s14.5 14.5 (Type integers or decimals. Do not round.) The claim is the alternative hypothesis (b) Use technology to find the Pvalue. Find the standardized test statistic, t (Round to two decimal places as needed.)

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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8
A steel pipe company recently developed a new pipe product for a customer. According to specifications, the pipe is supposed to have an average outside diameter of 2.00 inches with a standard deviation equal to 0.10 inches, and the distribution of outside diameters is to be normally distributed. Before going into full-scale production, the company selected a random sample of 30 sections of pipe from the initial test run, as shown in the accompanying table. Complete parts a and b below. (Data are shown in images)
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 32 dive durations has a mean of 12.4 minutes and a standard deviation of 2.2 minutes. At α=0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state H0 and Ha. H0: muμ equals= 11.711.7 Ha: muμ not equals≠ 11.711.7 (Type integers or decimals. Do not round.) The claim is the null hypothesis. (b) Use technology to find the P-value. Find the standardized test statistic, t. t=1.791.79 (Round to two decimal places as needed.) Obtain the P-value. P= (Round to three decimal places as needed.)
A credit card company claims that the mean credit card debt for individuals is greater than $5,000. You want to test this claim. You find that a random sample of 27 cardholders has a mean credit card balance of $5,199 and a standard deviation of $575. At α=0.05, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.7 minutes. A random sample of 36 dive durations has a mean of 12.3 minutes and a standard deviation of 2.1 minutes. At a = 0.01 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state H, and H, Ho Ha (Type integers or decimals. Do not round.) The claim is the hypothesis.
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 754 hours. A random sample of 30 light bulbs has a mean life of 732 hours. Assume the population is normally distributed and the population standard deviation is 62 hours. At a = 0.05, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). Zo = - 1.65 (Use a comma to separate answers as needed. Round to two decimal places as needed.) Identify the rejection region(s). Choose the correct answer below. O A. B. O C. Fail to reject H- Fail to reject Ho Fail to reject Ho- Reject Ho Reject Ho Reject Ho Reject H,- -4
An oceanographer claims that the mean dive duration of a North Atlantic right whale is 11.4 minutes. A random sample of 35 dive durations has a mean of 12.4 minutes and a standard deviation of 2.1 minutes. At a = 0.05 is there enough evidence to reject the oceanographer's claim? Complete parts (a) through (d) below. Assume the population is normally distributed. (a) Identify the claim and state Ho and H3- Họ: H3: (Type integers or decimals. Do not round.) The claim is the hypothesis.
The mean score on a driving exam for a group of driver’s education students is 76 points, with a standard deviation of 6 points. Apply chebychev’s theorem to the data using K=2. Interpret, At least ___% of the exam score falls between ___and ____
A light bulb manufacturer guarantees that the mean life of a certain type of light bulb is at least 749 hours. A random sample of 28 light bulbs has a mean life of 726 hours. Assume the population is normally distributed and the population standard deviation is 57 hours. At a = 0.02, do you have enough evidence to reject the manufacturer's claim? Complete parts (a) through (e). A. C. Fail to reject Ho - Fail to reject Ho Fail to reject Ho- Reject Ho- Reject Ho Reject H, Reject Ho- 4 (c) Identify the standardized test statistic. Use technology. (Round to two decimal places as needed.)
A credit card company claims that the mean credit card debt for individuals is greater than $5,300. You want to test this claim. You find that a random sample of 37 cardholders has a mean credit card balance of $5,509 and a standard deviation of $575. At α=0.01, can you support the claim? Complete parts (a) through (e) below. Assume the population is normally distributed.
A certain city the Transportation Authority (CTA) has trollies leaving regularly throughout the day beginning at 5:00 a.m. Although the length of a trip and the number of stops are constant, the time taken for each trip varies due to weather, traffic, and time of the day. According to the CTA, the mean time taken for the trip is 50 minutes. Suppose the travel time is Normally distributed with standard deviation o = 4 minutes. A random sample of 25 trips is obtained, and the time for each is recorded. Find the probability that the sample mean time will be less than 48 minutes.