To testUpper H 0 : sigma equals 4.6 versusUpper H 1 : sigma not equals 4.6,a random sample of sizen equals 14 is obtained from a population that is known to be normally distributed. (a) If the sample standard deviation is determined to bes equals 5.3,compute the test statistic.(b) If the researcher decides to test this hypothesis at thealpha equals 0.01 level of significance, use technology to determine the P-value.(c) Will the researcher reject the null hypothesis? Question content area bottomPart 1(a) The test statistic ischi Subscript 0 Superscript 2equalsenter your response here.(Round to two decimal places as needed.)Part 2(b) The P-value isenter your response here.(Round to three decimal places as needed.)Part 3(c) Since the P-value is▼ greaterlessthan the level of significance, the researcher▼ willwill notreject the null hypothesisUpper H 0 : sigma equals 4.6. To test Ho: o =4.6 versus H,: 0 4.6, a random sample of size n = 14 is obtained from a population that is known to be normally distributed.(a) If the sample standard deviation is determined to be s = 5.3, compute the test statistic.(b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, use technology to determine the P-value.(c) Will the researcher reject the null hypothesis?(a) The test statistic is x6 =(Round to two decimal places as needed.)(b) The P-value is(Round to three decimal places as needed.)(c) Since the P-value isthan the level of significance, the researcherreject the null hypothesis H,: o = 4.6.

Given that Null Hypothesis H0: σ=4.6 Alternative Hypothesis Ha :σ≠4.6 Sample size (n)=14 Sample…

Answered: o test Ho: o = 4.6 versus H,: o # 4.6,…

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter13: Probability And Calculus

Section13.2: Expected Value And Variance Of Continuous Random Variables

Problem 10E

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Question content area bottom

Part 1

(a) The test statistic is

chi Subscript 0 Superscript 2

equalsenter your response here

(Round to two decimal places as needed.)

Part 2

(b) The P-value is

enter your response here

(Round to three decimal places as needed.)

Part 3

▼

greater

less

than the level of significance, the researcher

▼

will

will not

reject the null hypothesis

Upper H 0 : sigma equals 4.6

To test Ho: o =4.6 versus H,: 0 4.6, a random sample of size n = 14 is obtained from a population that is known to be normally distributed.
(a) If the sample standard deviation is determined to be s = 5.3, compute the test statistic.
(b) If the researcher decides to test this hypothesis at the a = 0.01 level of significance, use technology to determine the P-value.
(c) Will the researcher reject the null hypothesis?
(a) The test statistic is x6 =
(Round to two decimal places as needed.)
(b) The P-value is
(Round to three decimal places as needed.)
(c) Since the P-value is
than the level of significance, the researcher
reject the null hypothesis H,: o = 4.6.

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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