A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than0.7minutes. A random sample of24waiting times has a standard deviation of0.9minutes. Atalphaαequals=0.10,is there enough evidence to reject the spokesperson's claim? Assume the population is normally distributed. Complete parts (a) through (e) below. LOADING...Click the icon to view the Chi-Square Distribution Table.(a) Write the claim mathematically and identifyUpper H 0H0andUpper H Subscript aHa. A.Upper H 0 : sigma less than or equals 0.7H0:σ≤0.7(Claim); Upper H Subscript a Baseline : sigma greater than 0.7Ha:σ>0.7 B.Upper H 0 : sigma equals 0.7H0:σ=0.7;Upper H Subscript a Baseline : sigma not equals 0.7Ha:σ≠0.7(Claim) C.Upper H 0 : sigma less than 0.7H0:σ<0.7(Claim); Upper H Subscript a Baseline greater than or equals 0.7Ha≥0.7 D.Upper H 0 : sigma greater than or equals 0.7H0:σ≥0.7;Upper H Subscript a Baseline : sigma less than 0.7Ha:σ<0.7(Claim)(b) Find the critical value(s). chi Subscript 0 Superscript 2χ20equals=nothing(Round to three decimal places as needed. Use a comma to separate answers as needed.)Identify the rejection region(s). Choose the correct graph below. A. 06000chi squaredχ2 A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segment extends from the horizontal axis to the right side of the curve. The area under the curve to the right of the line segment is shaded. B. 060chi squaredχ2 A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segment extends from the horizontal axis to the left side of the curve. The area under the curve to the left of the line segment is shaded. C. 060chi squaredχ2 A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segment extends from the horizontal axis to the left side of the curve. The area under the curve to the right of the line segment is shaded. D. 060chi squaredχ2 A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segments extend from the horizontal axis to the curve. The area under the curve to the left of the left line segment and to the right of the right line segment is shaded.(c) Find the standardized test statistic for thechiχsquared2-test. chiχsquared2equals=nothing(Round to three decimal places as needed.)(d) Decide whether to reject or fail to reject the null hypothesis. A.Fail to rejectUpper H 0H0.The standardized test statisticisin the rejection region. B.Fail to rejectUpper H 0H0.The standardized test statisticis notin the rejection region. C.RejectRejectUpper H 0H0.The standardized test statisticis notin the rejection region. D.RejectRejectUpper H 0H0.The standardized test statisticisin the rejection region.(e) Interpret the decision in the context of the original claim. Is there enough evidence to reject the spokesperson's claim at the10%level of significance? A.Since the null hypothesisis notrejected, thereis notenough evidence to reject the spokesperson's claim. B.Since the null hypothesisisrejected, thereis notenough evidence to reject the spokesperson's claim. C.Since the null hypothesisisrejected, thereisenough evidence to reject the spokesperson's claim. D.Since the null hypothesisis notrejected, thereisisenough evidence to reject the spokesperson's claim. Click to select your answer(s)

Null and alternative hypothesis: Denote the variable “Waiting times experienced by patients in its…

Answered: A hospital spokesperson claims that the…

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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Question

A hospital spokesperson claims that the standard deviation of the waiting times experienced by patients in its minor emergency department is no more than

0.7

minutes. A random sample of

waiting times has a standard deviation of

0.9

minutes. At

alphaαequals=0.10,

is there enough evidence to reject the spokesperson's claim? Assume the population is normally distributed. Complete parts (a) through (e) below.

Click the icon to view the Chi-Square Distribution Table.

(a) Write the claim mathematically and identify

Upper H 0H0

and

Upper H Subscript aHa.

Upper H 0 : sigma less than or equals 0.7H0:σ≤0.7

(Claim); Upper H Subscript a Baseline : sigma greater than 0.7Ha:σ>0.7

Upper H 0 : sigma equals 0.7H0:σ=0.7;

Upper H Subscript a Baseline : sigma not equals 0.7Ha:σ≠0.7

(Claim)

Upper H 0 : sigma less than 0.7H0:σ<0.7

(Claim); Upper H Subscript a Baseline greater than or equals 0.7Ha≥0.7

Upper H 0 : sigma greater than or equals 0.7H0:σ≥0.7;

Upper H Subscript a Baseline : sigma less than 0.7Ha:σ<0.7

(Claim)

(b) Find the critical value(s).

chi Subscript 0 Superscript 2χ20equals=nothing

(Round to three decimal places as needed. Use a comma to separate answers as needed.)

Identify the rejection region(s). Choose the correct graph below.

06000

chi squaredχ2

A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segment extends from the horizontal axis to the right side of the curve. The area under the curve to the right of the line segment is shaded.

060

chi squaredχ2

A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segment extends from the horizontal axis to the left side of the curve. The area under the curve to the left of the line segment is shaded.

060

chi squaredχ2

A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segment extends from the horizontal axis to the left side of the curve. The area under the curve to the right of the line segment is shaded.

060

chi squaredχ2

A coordinate system has a horizontal axis labeled chi squared from 0 to 60 in increments of 5 and a vertical axis. A curve is over a horizontal axis. Vertical line segments extend from the horizontal axis to the curve. The area under the curve to the left of the left line segment and to the right of the right line segment is shaded.

chiχsquared2-test.

chiχsquared2equals=nothing

(Round to three decimal places as needed.)

(d) Decide whether to reject or fail to reject the null hypothesis.

Fail to reject

Upper H 0H0.

The standardized test statistic

in the rejection region.

Fail to reject

Upper H 0H0.

The standardized test statistic

is not

in the rejection region.

RejectReject

Upper H 0H0.

The standardized test statistic

is not

in the rejection region.

RejectReject

Upper H 0H0.

The standardized test statistic

in the rejection region.

(e) Interpret the decision in the context of the original claim.

Is there enough evidence to reject the spokesperson's claim at the

10%

level of significance?

Since the null hypothesis

is not

rejected, there

is not

enough evidence to reject the spokesperson's claim.

Since the null hypothesis

rejected, there

is not

enough evidence to reject the spokesperson's claim.

Since the null hypothesis

rejected, there

enough evidence to reject the spokesperson's claim.

Since the null hypothesis

is not

rejected, there

isis

enough evidence to reject the spokesperson's claim.

Click to select your answer(s)

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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