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Chapter 7: Q.33 (page 429)

What is P(危x < 1,186)?

Short Answer

Expert verified

Thevalue probability thatP鈭�X<1186is approximately15.86%

Step by step solution

01

Given Information

According to the provided details, the sample size of customers is 400 with a mean 3 and the standard deviation is0.7.

02

Explanation

To calculate the probability that P(危X<1186), use the Tl-83 calculator. For this, click on 2nd, then DISTR, and then scroll down to the normal CDF option and enter the provided details. After this, click on ENTER button on the calculator to have the desired result. The screenshot is given below:

Therefore, the value probability thatP鈭�X<1186is approximately15.86%

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Most popular questions from this chapter

The Screw Right Company claims their 34inch screws are within 卤0.23ofthe claimed mean diameter of 0.750inches with a standard deviation of 0.115inches. The following data were recorded.

0.757
0.723
0.754
0.737
0.757
0.741
0.722
0.741
0.743
0.742
0.740
0.758
0.724
0.739
0.736
0.735
0.760
0.750
0.759
0.754
0.744
0.758
0.765
0.756
0.738
0.742
0.758
0.757
0.724
0.757
0.744
0.738
0.763
0.756
0.760
0.768
0.761
0.742
0.734
0.754
0.758
0.735
0.740
0.743
0.737
0.737
0.725
0.761
0.758
0.756

The screws were randomly selected from the local home repair store.

a. Find the mean diameter and standard deviation for the sample

b. Find the probability that 50randomly selected screws will be within the stated tolerance levels. Is the company鈥檚 diameter claim plausible?

Yoonie is a personnel manager in a large corporation. Each month she must review 16of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2hours. Let 围 be the random variable representing the time it takes her to complete one review. Assume 围 is normally distributed. Let x-be the random variable representing the meantime to complete the 16reviews. Assume that the 16 reviews represent a random set of reviews.

Find the probability that the mean of a month鈥檚 reviews will take Yoonie from 3.5to 4.25hrs. Sketch the graph, labeling and scaling the horizontal axis. Shade the region corresponding to the probability.

a.

b. P(________________) = _______

A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24 pounds, and the highest is 26 pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100 weights is taken.

Find the 90th percentile for the total weight of the 100 weights.

A manufacturer produces 25-pound lifting weights. The lowest actual weight is 24pounds, and the highest is 26pounds. Each weight is equally likely so the distribution of weights is uniform. A sample of 100weights is taken.

a. What is the distribution for the weights of one 25-pound lifting weight? What is the mean and standard deviation?

b. What is the distribution for the mean weight of 100,25-pound lifting weights?

c. Find the probability that the mean actual weight for the 100 weights is less than 24.9.

Use the following information to answer the next six exercises: Yoonie is a personnel manager in a large corporation. Each month she must review 16 of the employees. From past experience, she has found that the reviews take her approximately four hours each to do with a population standard deviation of 1.2hours. Let Xbe the random variable representing the time it takes her to complete one review. Assume Xis normally distributed. Let Xbe the random variable representing the mean time to complete the 16 reviews. Assume that the 16 reviews represent a random set of reviews.

1. What is the mean, standard deviation, and sample size?
See all solutions

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