Introduction To Statistics And Data Analysis
6th Edition
ISBN: 9781337793612
Author: PECK, Roxy.
Publisher: Cengage Learning,
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Textbook Question
Chapter 10.5, Problem 70E
Let μ denote the mean diameter for bearings of a certain type. A test of H0: μ = 0.5 versus
- a. n = 15, α = 0.05, σ = 0.02, μ = 0.52
- b. n = 15, α = 0.05, σ = 0.02, μ = 0.48
- c. n = 15, α = 0.01, σ = 0.02, μ = 0.52
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Suppose the lengths of human pregnancies are normally distributed with
μ=266
days and
σ=16
days. Complete parts (a) and (b)
below.
(a) The figure to the right represents the normal curve with
μ=266
days and
σ=16
days. The area to the
left
of
X=235
is
0.0263.
Provide two interpretations of this area.
Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals.)
A.
The proportion of human pregnancies that last
more
than
nothing
days is
nothing.
B.
The proportion of human pregnancies that last
less
than
nothing
days is
nothing.
X
266
235
A normal curve has a horizontal axis labeled "X" and two horizontal coordinates, 235 and 266. The curve's peak is near the top of the graph at horizontal coordinate 266. Two vertical line segments run from the horizontal axis to the curve at 235 and 266. The area…
Suppose the lengths of human pregnancies are normally distributed with µ = 266 days and o = 16 days. Complete parts (a) and (b) below.
.....
(a) The figure to the right represents the normal curve with u = 266 days and o = 16 days. The area to the right of X= 300 is 0.0168. Provide two interpretations of this area.
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Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals.)
A. The proportion of human pregnancies that last less than
days is
O B. The proportion of human pregnancies that last more than
days is
266
300
Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals.)
O A. The probability that a randomly selected human pregnancy lasts more than
days is
B. The probability that a randomly selected human pregnancy lasts less than
days is
(b)…
Suppose the lengths of human pregnancies are normally distributed with
μ=266 days and σ=16 days. Complete parts (a) and (b) below.
(a) The figure to the right represents the normal curve with
μ=266
days and
σ=16
days. The area to the
left
of
X=230
is
0.0122.
Provide two interpretations of this area.
Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice.
(Type integers or decimals.)
A.
The proportion of human pregnancies that last more than _____days is _____.
B.
The proportion of human pregnancies that last lessthan___ days is ____
Chapter 10 Solutions
Introduction To Statistics And Data Analysis
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- Sketch the normal curve having the parameters a. µ = -1 and σ = 2.b. µ = 3 and σ = 2.c. µ = -1 and σ = 0.5.arrow_forwardSuppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with u= 266 days and o = 16 days. The area to the left of X= 245 is 0.0947. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) X A. The proportion of human pregnancies that last less than days is 245 266 O B. The proportion of human pregnancies that last more than days is. Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The probability that a randomly selected human pregnancy lasts less than days is B. The probability that a randomly selected human pregnancy lasts more than days is ERest Convertearrow_forwardTF.10 The diameter X in inches of a certain brand of tennis balls has normal distribution with mean μ = 2.65 and standard deviation σ = .018. Acceptable balls have diameters between 2.62 and 2.68 inches. a) What proportion of tennis balls of this brand are acceptable? b) Find P(X < 2.60)arrow_forward
- Suppose the lengths of human pregnancies are normally distributed with u = 266 days and o = 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with µ = 266 days and o = 16 days. The area to the left of X = 235 is 0.0263. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The proportion of human pregnancies that last more than days is O B. The proportion of human pregnancies that last less than days is 235 Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) O A. The probability that a randomly selected human pregnancy lasts less than days is O B. The probability that a randomly selected human pregnancy lasts more than days is (b) The figure…arrow_forwardA person's body mass index (BMI) is computed by dividing the weight (kg) by the square of height (m). The accompanying table contains the BMI statistics for random samples of males and females. Assume that the two samples are independent simple random samples selected from normally distributedpopulations, and do not assume that the population standard deviations are equal. Let population 1 be females. Female BMI: n=69 x=29.14 s=7.41 Male BMI: n=79 x=28.18 s=5.24 The test statistic is The P-value is Construct a confidence interval appropriate for testing the claim in part (a). The ___% confidence interval estimate is ___<μ1−μ2<___.arrow_forwardYou are a forester working for Shenandoah National Park studying the diameter of oak trees. You measure the growth rate of 15 trees and find an average diameter of 10inches with a standard deviation of 9inches. The species you are studying has diameter of 12inches on average with a standard deviation of 8inches. Match the quantity from the above scenario to the appropriate statistic or parameter ✓n= ✓ μ = ✓ 6 = ✓ y = ✓ S= A. 15 B. 12 C. 8 D. 10 E. 9arrow_forward
- Suppose the lengths of human pregnancies are normally distributed with μ = 266 days and o 16 days. Complete parts (a) and (b) below. (a) The figure to the right represents the normal curve with μ=266 days and o=16 days. The area to the left of X=230 is 0.0122. Provide two interpretations of this area. Provide one interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) A. The proportion of human pregnancies that last less than 230 days is 0.0122 OB. The proportion of human pregnancies that last more than days is C Provide a second interpretation of the area using the given values. Select the correct choice below and fill in the answer boxes to complete your choice. (Type integers or decimals.) ⒸA. The probability that a randomly selected human pregnancy lasts less than OB. The probability that a randomly selected human pregnancy lasts more than days is days is A 230 268 Qarrow_forwardEstimate the missing data for the station x according to the following information using normal ratio method: Station Normal Annual ppt(cm) A 44.1 B 36.8 C 47.2 X 37.5 O ≈3.847 cm O ≈3.70 cm O ≈3.518 cm ≈3.374 cm ppt(cm) 4.3 3.5 4.8 pxarrow_forwardFind the area and normal curve. To the right of z = 1.35arrow_forward
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