The time it takes for a particular type of biological cell to divide into two cells is believed to follow a bell-shaped distribution with a mean of 30.2 minutes. In a lab study of 22 such cells, the average time to divide was 28.2 minutes with a standard deviation of 3.5 minutes. Does the study provide sufficient evidence to conclude that the mean division time for such cells is less than 30.2 minutes? Use a significance level of a = 0.05 (a) Identify the null and alternative hypothesis in symbolic form. Ho: H: (b) The value of the test statistic is Round decimal to two places. (c) The is P - Value Round decimal to three places. (d) State and interpret the final conclusion in the context of this problem. For the toolhar pro

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QUESTION 10
The time it takes for a particular type of biological cell to divide into two cells is believed to follow a bell-shaped distribution with a mean of 30.2
minutes. In a lab study of 22 such cells, the average time to divide was 28.2 minutes with a standard deviation of 3.5 minutes. Does the study
provide sufficient evidence to conclude that the mean division time for such cells is less than 30.2 minutes? Use a significance level of
a = 0.05
(a) Identify the null and alternative hypothesis in symbolic form.
H :
(b) The value of the test statistic is
Round decimal to two places.
(c) The
is
P- Value
Round decimal to three places.
(d) State and interpret the final conclusion in the context of this problem.
For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac).
BIU S
Paragraph
Arial
14px
Transcribed Image Text:QUESTION 10 The time it takes for a particular type of biological cell to divide into two cells is believed to follow a bell-shaped distribution with a mean of 30.2 minutes. In a lab study of 22 such cells, the average time to divide was 28.2 minutes with a standard deviation of 3.5 minutes. Does the study provide sufficient evidence to conclude that the mean division time for such cells is less than 30.2 minutes? Use a significance level of a = 0.05 (a) Identify the null and alternative hypothesis in symbolic form. H : (b) The value of the test statistic is Round decimal to two places. (c) The is P- Value Round decimal to three places. (d) State and interpret the final conclusion in the context of this problem. For the toolbar, press ALT+F10 (PC) or ALT+FN+F10 (Mac). BIU S Paragraph Arial 14px
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