Test the claim below about the mean of the differences for a population of paired data at the level of significance alphaα. Assume the samples are random and dependent, and the populations are normally distributed. Claim: mu Subscript dμdgreater than or equals≥0; alphaαequals=0.100.10. Sample statistics: d overbardequals=negative 2.2−2.2, s Subscript dsdequals=1.41.4, nequals=1515 Question content area bottom Part 1 Identify the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0H0: mu Subscript dμdgreater than or equals≥0 Upper H Subscript aHa: mu Subscript dμdless than<0 B. Upper H 0H0: mu Subscript dμdless than<0 Upper H Subscript aHa: mu Subscript dμdgreater than or equals≥0 C. Upper H 0H0: mu Subscript dμdequals=0 Upper H Subscript aHa: mu Subscript dμdnot equals≠0 D. Upper H 0H0: mu Subscript dμdgreater than>0 Upper H Subscript aHa: mu Subscript dμdless than or equals≤0 E. Upper H 0H0: mu Subscript dμdless than or equals≤0 Upper H Subscript aHa: mu Subscript dμdgreater than>0 F. Upper H 0H0: mu Subscript dμdnot equals≠0 Upper H Subscript aHa: mu Subscript dμdequals=0 Part 2 The test statistic is tequals=enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 Since the P-value is ▼ greater than less than or equal to the level of significance, ▼ fail to reject reject the null hypothesis. There ▼ is not is statistically significant evidence to reject the claim. Choose the correct answer below.The test statistic is t(Round to two decimal places as needed.)The P-value is(Round to three decimal places as needed.)Since the P-value isthe level of significance,the level of significance,the null hypothesis.Therestatistically significant evidence to reject the claim.

Test the claim below about the mean of the differences for a population of paired data at the level of significance alphaα. Assume the samples are random and dependent, and the populations are normally distributed. Claim: mu Subscript dμdgreater than or equals≥0; alphaαequals=0.100.10. Sample statistics: d overbardequals=negative 2.2−2.2, s Subscript dsdequals=1.41.4, nequals=1515 Question content area bottom Part 1 Identify the null and alternative hypotheses. Choose the correct answer below. A. Upper H 0H0: mu Subscript dμdgreater than or equals≥0 Upper H Subscript aHa: mu Subscript dμdless than<0 B. Upper H 0H0: mu Subscript dμdless than<0 Upper H Subscript aHa: mu Subscript dμdgreater than or equals≥0 C. Upper H 0H0: mu Subscript dμdequals=0 Upper H Subscript aHa: mu Subscript dμdnot equals≠0 D. Upper H 0H0: mu Subscript dμdgreater than>0 Upper H Subscript aHa: mu Subscript dμdless than or equals≤0 E. Upper H 0H0: mu Subscript dμdless than or equals≤0 Upper H Subscript aHa: mu Subscript dμdgreater than>0 F. Upper H 0H0: mu Subscript dμdnot equals≠0 Upper H Subscript aHa: mu Subscript dμdequals=0 Part 2 The test statistic is tequals=enter your response here. (Round to two decimal places as needed.) Part 3 The P-value is enter your response here. (Round to three decimal places as needed.) Part 4 Since the P-value is ▼ greater than less than or equal to the level of significance, ▼ fail to reject reject the null hypothesis. There ▼ is not is statistically significant evidence to reject the claim. Choose the correct answer below.The test statistic is t(Round to two decimal places as needed.)The P-value is(Round to three decimal places as needed.)Since the P-value isthe level of significance,the level of significance,the null hypothesis.Therestatistically significant evidence to reject the claim.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.3: Measures Of Spread

Problem 1GP

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Question content area bottom

Part 1

Identify the null and alternative hypotheses. Choose the correct answer below.

Upper H 0H0:

mu Subscript dμdgreater than or equals≥0

Upper H Subscript aHa:

mu Subscript dμdless than<0

Upper H 0H0:

mu Subscript dμdless than<0

Upper H Subscript aHa:

mu Subscript dμdgreater than or equals≥0

Upper H 0H0:

mu Subscript dμdequals=0

Upper H Subscript aHa:

mu Subscript dμdnot equals≠0

Upper H 0H0:

mu Subscript dμdgreater than>0

Upper H Subscript aHa:

mu Subscript dμdless than or equals≤0

Upper H 0H0:

mu Subscript dμdless than or equals≤0

Upper H Subscript aHa:

mu Subscript dμdgreater than>0

Upper H 0H0:

mu Subscript dμdnot equals≠0

Upper H Subscript aHa:

mu Subscript dμdequals=0

Part 2

The test statistic is

tequals=enter your response here.

(Round to two decimal places as needed.)

Part 3

The P-value is

enter your response here.

(Round to three decimal places as needed.)

Part 4

Since the P-value is

▼

greater than

less than or equal to

the level of significance,

▼

fail to reject

reject

the null hypothesis. There

▼

is not

statistically significant evidence to reject the claim.

Choose the correct answer below.The test statistic is t(Round to two decimal places as needed.)The P-value is(Round to three decimal places as needed.)Since the P-value isthe level of significance,the level of significance,the null hypothesis.Therestatistically significant evidence to reject the claim.

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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