Question

A health psychologist hypothesizes wants to investigate white coat hypertension. White coat hypertension is when a patient grows anxious when a person with a white coat and stethoscope walks into the examination room. To investigate, the psychologist randomly selects patients in a hospital that have come in for various minor ailments. During this visit the doctor either wears a white coat or a (non-white) sport coat. The patients are then asked to come in the next week for a follow-up. At the follow-up, the doctor wears the opposite of what he wore during the first visit. Below are the systolic pressures of the patients at each visit. What can be concluded with α = 0.05?

white coat	sport coat
104 100 118 117 108 102 103 115 112 105	117 115 112 124 116 118 121 113 118 108

a) What is the appropriate test statistic?
na z-test one-sample t-test independent-samples t-test related-samples t-test

b)
Condition 1:
health psychologist  pressure minor ailments sport coat the hospital white coat
Condition 2:
health psychologist  pressure minor ailments sport coat the hospital white coat

c) Obtain/compute the appropriate values to make a decision about H₀.
(Hint: Make sure to write down the null and alternative hypotheses to help solve the problem.)
critical value =  ; test statistic =
Decision: Reject H0 or Fail to reject H0

d) If appropriate, compute the CI. If not appropriate, input "na" for both spaces below.
[ _______ , _______ ]

Answer 1

ANSWERS:
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Here we check the systolic pressures of the patients at each visit of a doctor with different coats i.e. white coat and sport coat.

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Ans a)

Here we use the t-test for two independent samples.

Reason: The sample size is less than 30 i.e. reason we can't use the z-test.

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Ans b)

health psychologist pressure minor ailments sport coat the hospital white coat.

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Ans c)

Null hypothesis: The Systolic blood pressure for white coat and sport coat is equal.

Alternative hypotheses: The Systolic blood pressure for white coat and sport coat is different or not equal.

Test statistic = -3.06729

Critical value = 2.119905

Decision:

Here the T-calculate = -3.07 which is less than T-critical = 2.12 which means our null hypothesis is accepted which means The Systolic blood pressure for white coat and sport coat is different or not equal.

	white coat	sport coat
Mean	108.4	116.2
Variance	43.82222	20.84444
Observations	10	10
Hypothesized Mean Difference	0
df	16
t Stat	-3.06729
P(T<=t) one-tail	0.003684
t Critical one-tail	1.745884
P(T<=t) two-tail	0.007368
t Critical two-tail	2.119905

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Ans d)

The 95% confidence interval is -13.19 to -2.407

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If you want manually then please comment below I will provide you an answer definitely, thank you.